Net-II Online Mock Test 2020 (Group: Chemistry)

1) If CIGARETTE is coded as GICERAETT, then DIRECTION will be coded as

NOIETCRID

RIDTCENOI

IRDCTIONE

NORTECDII

The given coding pattern involves reversing the order of the letters in the word and then placing the last letter at the beginning. Applying the same pattern to the word DIRECTION, we reverse the order to get NOITCERID and then place the last letter 'N' at the beginning to get RIDTCENOI.

Explanation

The given coding pattern involves reversing the order of the letters in the word and then placing the last letter at the beginning. Applying the same pattern to the word DIRECTION, we reverse the order to get NOITCERID and then place the last letter 'N' at the beginning to get RIDTCENOI.

2) The meaning of the idiomatic phrase, "Dance with the Death" is:

Doing something beyond one's capability

Doing something that is very risky

To deceive someone

To kill someone

The phrase "Dance with the Death" is an idiomatic expression used to describe engaging in a dangerous or risky activity. It implies taking a bold or daring action that could potentially lead to harm or negative consequences. It does not mean deceiving or killing someone, but rather refers to the willingness to face danger or take risks.

Explanation

The phrase "Dance with the Death" is an idiomatic expression used to describe engaging in a dangerous or risky activity. It implies taking a bold or daring action that could potentially lead to harm or negative consequences. It does not mean deceiving or killing someone, but rather refers to the willingness to face danger or take risks.

3) $\pm \sqrt {\frac {1-cos\alpha } {2}}$ is equal to

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Explanation

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4) Which of the following element has symbol Ac in Modern Periodic table?

Americium

Actinium

Silver

Arsenic

Actinium is the element that has the symbol Ac in the Modern Periodic table. The symbol Ac is derived from its name, Actinium. Actinium is a radioactive element that belongs to the group of elements known as the actinides. It has an atomic number of 89 and is commonly used in scientific research and medical applications.

Explanation

Actinium is the element that has the symbol Ac in the Modern Periodic table. The symbol Ac is derived from its name, Actinium. Actinium is a radioactive element that belongs to the group of elements known as the actinides. It has an atomic number of 89 and is commonly used in scientific research and medical applications.

5) Rabia is a noted dentist ______ in the region:

However he teaches very good also.

But he teaches very good in addition

As well as an effective teacher.

And too a very efficient teacher

The correct answer is "as well as an effective teacher." This answer fits grammatically and logically with the sentence. It suggests that Rabia is not only a noted dentist but also an effective teacher.

Explanation

The correct answer is "as well as an effective teacher." This answer fits grammatically and logically with the sentence. It suggests that Rabia is not only a noted dentist but also an effective teacher.

6) Which of the following is correct Spelling?

Vavecious

Vevacious

Vivacious

Vuvacious

The correct spelling is "Vivacious".

Explanation

The correct spelling is "Vivacious".

7) Intelligence Quotient If in a certain language FASHION is coded as FOIHSAN, how is PROBLEM coded in that code?

PELBROM

PRBOELM

PELBORM

RPBOELM

In the given code, each letter in the word is reversed and placed in the same position. Applying the same logic to the word PROBLEM, the coded word would be PELBORM.

Explanation

In the given code, each letter in the word is reversed and placed in the same position. Applying the same logic to the word PROBLEM, the coded word would be PELBORM.

8) At a point 15 meters away from the base of 15 meters high house, the angle of elevation of the top is:

The angle of elevation of the top of a 15-meter high house from a point 15 meters away from its base can be determined using trigonometry. In this case, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this scenario, the opposite side is the height of the house (15 meters) and the adjacent side is the distance from the base of the house to the point (15 meters). Therefore, the angle of elevation can be found by taking the inverse tangent of the ratio of the opposite and adjacent sides.

Explanation

The angle of elevation of the top of a 15-meter high house from a point 15 meters away from its base can be determined using trigonometry. In this case, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this scenario, the opposite side is the height of the house (15 meters) and the adjacent side is the distance from the base of the house to the point (15 meters). Therefore, the angle of elevation can be found by taking the inverse tangent of the ratio of the opposite and adjacent sides.

9) Which of the following systems of equations has $\{ (2,0),(-2,0)\}$ as solution set?

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Explanation

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10) Which of the following acts as capillary tube?

Gas Pipe

Water Pipe

Syringe

All of these

A capillary tube is a thin, narrow tube that allows for the movement of fluids, such as gases and liquids, through its small diameter. Both gas pipes and water pipes can act as capillary tubes, as they have small openings that allow for the flow of their respective fluids. Additionally, a syringe can also act as a capillary tube, as it has a narrow nozzle that allows for the controlled movement of liquids. Therefore, all of these options can function as capillary tubes.

Explanation

A capillary tube is a thin, narrow tube that allows for the movement of fluids, such as gases and liquids, through its small diameter. Both gas pipes and water pipes can act as capillary tubes, as they have small openings that allow for the flow of their respective fluids. Additionally, a syringe can also act as a capillary tube, as it has a narrow nozzle that allows for the controlled movement of liquids. Therefore, all of these options can function as capillary tubes.

11) Which catalyst is used in contact process?

The catalyst used in the contact process is vanadium pentoxide (V2O5). This catalyst helps to speed up the reaction between sulfur dioxide (SO2) and oxygen (O2) to produce sulfur trioxide (SO3), which is an important step in the production of sulfuric acid. Vanadium pentoxide acts as a catalyst by providing a surface for the reaction to occur on, lowering the activation energy required for the reaction to take place.

Explanation

The catalyst used in the contact process is vanadium pentoxide (V2O5). This catalyst helps to speed up the reaction between sulfur dioxide (SO2) and oxygen (O2) to produce sulfur trioxide (SO3), which is an important step in the production of sulfuric acid. Vanadium pentoxide acts as a catalyst by providing a surface for the reaction to occur on, lowering the activation energy required for the reaction to take place.

12) ${sin10}^{\circ }{sin30}^{\circ }{sin50}^{\circ }{sin70}^{\circ }=$

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Explanation

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13) Complete sequence with appropriate number 4,9,25,49,121,169,?

256

289

225

324

The given sequence follows a pattern of squaring the previous number and adding 1. Starting with 4, the next number is obtained by squaring 4 to get 16 and adding 1 to get 17. Similarly, 17 is squared to get 289 and adding 1 gives the next number in the sequence. Therefore, the missing number in the sequence is 289.

Explanation

The given sequence follows a pattern of squaring the previous number and adding 1. Starting with 4, the next number is obtained by squaring 4 to get 16 and adding 1 to get 17. Similarly, 17 is squared to get 289 and adding 1 gives the next number in the sequence. Therefore, the missing number in the sequence is 289.

14) $sin{75}^{\circ }$ approximately equals to:

0.956

0.965

0.934

0.973

The correct answer is 0.965 because it is the closest approximation to the given value of "approximately equals to".

Explanation

The correct answer is 0.965 because it is the closest approximation to the given value of "approximately equals to".

15) Which of the following is renewable energy source?

Natural gas

Coal

Uranium

Biomass

Biomass is considered a renewable energy source because it is derived from organic matter, such as plants, agricultural waste, and wood. These materials can be replenished naturally and sustainably, making biomass a sustainable energy option. Biomass can be converted into various forms of energy, including heat, electricity, and biofuels, reducing the reliance on fossil fuels and minimizing greenhouse gas emissions.

Explanation

Biomass is considered a renewable energy source because it is derived from organic matter, such as plants, agricultural waste, and wood. These materials can be replenished naturally and sustainably, making biomass a sustainable energy option. Biomass can be converted into various forms of energy, including heat, electricity, and biofuels, reducing the reliance on fossil fuels and minimizing greenhouse gas emissions.

16) Which of the following gases cannot by Lind's Method Liquefaction?

All of these

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Explanation

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17) The solution set for the equation $\sqrt {3x+4}=2+\sqrt {2x-4}$ is:

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Explanation

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18) If a force $F=i+3j+2k$ is acting on moving body with constant velocity $v=j+2k$ then power delivered to body at any instant is:

10 W

7 W

0 W

Force and Velocity has no such relation to yield Power

If a force is acting on a moving body with constant velocity, the power delivered to the body at any instant is 7 W. This is because power is defined as the rate at which work is done or energy is transferred. In this case, since the body is moving with constant velocity, there is no change in its kinetic energy. Therefore, the power delivered to the body is equal to the force applied multiplied by the velocity, which is 7 W.

Explanation

If a force is acting on a moving body with constant velocity, the power delivered to the body at any instant is 7 W. This is because power is defined as the rate at which work is done or energy is transferred. In this case, since the body is moving with constant velocity, there is no change in its kinetic energy. Therefore, the power delivered to the body is equal to the force applied multiplied by the velocity, which is 7 W.

19) A 2 m tall cylinder, full of water, has four identical holes at heights 1.8 m, 1.2 m , 90.6 m and 0.3 m from the ground. The speed of efflux is maximum from:

1.2 m high hole

1.8 m high hole

0.6 m high hole

0.3 m high hole

The speed of efflux is determined by the height of the water column above the hole. The higher the water column, the greater the pressure and therefore the faster the water will flow out of the hole. Since the 0.3 m high hole is the lowest, it will have the highest water column above it and therefore the maximum speed of efflux.

Explanation

The speed of efflux is determined by the height of the water column above the hole. The higher the water column, the greater the pressure and therefore the faster the water will flow out of the hole. Since the 0.3 m high hole is the lowest, it will have the highest water column above it and therefore the maximum speed of efflux.

20) Two lines $L:\, y=\frac {2} {3}x+7$ $M:\, y=-\frac {3} {2}x+8$ are

Parallel to each other

Intersecting to each other

Perpendicular to each other

Both Parallel and perpendicular to each other

The correct answer is "Perpendicular to each other". This means that the two lines intersect at a right angle, forming a 90-degree angle.

Explanation

The correct answer is "Perpendicular to each other". This means that the two lines intersect at a right angle, forming a 90-degree angle.

21) In CRO, the brightness of the spot on the screen is controlled by:

Cathode

Focusing anode

Accelerating Anode

Grid

In a Cathode Ray Oscilloscope (CRO), the brightness of the spot on the screen is controlled by the Grid. The Grid is responsible for controlling the flow of electrons from the cathode to the screen. By varying the voltage applied to the Grid, the intensity of the electron beam can be adjusted, resulting in a brighter or dimmer spot on the screen. The Cathode, Focusing Anode, and Accelerating Anode play different roles in the operation of the CRO but do not directly control the brightness of the spot.

Explanation

In a Cathode Ray Oscilloscope (CRO), the brightness of the spot on the screen is controlled by the Grid. The Grid is responsible for controlling the flow of electrons from the cathode to the screen. By varying the voltage applied to the Grid, the intensity of the electron beam can be adjusted, resulting in a brighter or dimmer spot on the screen. The Cathode, Focusing Anode, and Accelerating Anode play different roles in the operation of the CRO but do not directly control the brightness of the spot.

22) The infinite geometric series ${\sum ^{\infty }_{n=1} \left ( {\frac {1} {2}} \right )}^{n}$ is a:

Divergent Series

Convergent series

Oscillatory series

Both divergent and convergent series

The given correct answer is "Convergent series". In mathematics, a convergent series is a series that has a finite sum. In the case of an infinite geometric series, the terms of the series form a pattern where each term is multiplied by a common ratio to obtain the next term. If the absolute value of the common ratio is less than 1, then the series converges and has a finite sum. Therefore, an infinite geometric series is a convergent series.

Explanation

The given correct answer is "Convergent series". In mathematics, a convergent series is a series that has a finite sum. In the case of an infinite geometric series, the terms of the series form a pattern where each term is multiplied by a common ratio to obtain the next term. If the absolute value of the common ratio is less than 1, then the series converges and has a finite sum. Therefore, an infinite geometric series is a convergent series.

23) The reaction of alkyl halide s with sodium metal in the presence of ether to form alkane is known as:

Frankland Reaction

Wurtz Reaction

Sabatier Sendren

Kolbe's Synthesis

The reaction of alkyl halides with sodium metal in the presence of ether to form alkane is known as the Wurtz Reaction. This reaction involves the coupling of two alkyl halide molecules through a free radical mechanism, resulting in the formation of a new carbon-carbon bond. Sodium metal acts as a reducing agent, providing the necessary electrons for the formation of the new bond. The presence of ether serves as a solvent and helps to stabilize the reactive intermediates formed during the reaction. The Wurtz Reaction is an important method for the synthesis of higher alkanes.

Explanation

The reaction of alkyl halides with sodium metal in the presence of ether to form alkane is known as the Wurtz Reaction. This reaction involves the coupling of two alkyl halide molecules through a free radical mechanism, resulting in the formation of a new carbon-carbon bond. Sodium metal acts as a reducing agent, providing the necessary electrons for the formation of the new bond. The presence of ether serves as a solvent and helps to stabilize the reactive intermediates formed during the reaction. The Wurtz Reaction is an important method for the synthesis of higher alkanes.

24) Number of diagonals formed in a decagon is:

28

35

12

16

A decagon has 10 sides. To find the number of diagonals, we use the formula n(n-3)/2, where n is the number of sides. Plugging in 10 for n, we get 10(10-3)/2 = 10(7)/2 = 70/2 = 35. Therefore, the correct answer is 35.

Explanation

A decagon has 10 sides. To find the number of diagonals, we use the formula n(n-3)/2, where n is the number of sides. Plugging in 10 for n, we get 10(10-3)/2 = 10(7)/2 = 70/2 = 35. Therefore, the correct answer is 35.

25) The sides of a $\Delta$ are ${t}^{2}+t+1,\, 2t+1\, \, and{t}^{2}-1$ , then largest angle is:

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Explanation

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26) Let i,j and k be unit vectors then $|(j.j)\, +(i).\, (k\times j)+j.(k\times k)|=$

1

0

3

2

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Explanation

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27) Which of the following is a conservative force?

Air resistance

Centripetal force

Normal force

Frictional force

Centripetal force is a conservative force because it is a force that acts towards the center of a circular path and does not depend on the path taken. Conservative forces conserve mechanical energy, meaning that the work done by the force is independent of the path taken by the object. In the case of centripetal force, it is always directed towards the center of the circle and does not depend on the path taken by the object moving in a circular motion. Therefore, centripetal force is a conservative force.

Explanation

Centripetal force is a conservative force because it is a force that acts towards the center of a circular path and does not depend on the path taken. Conservative forces conserve mechanical energy, meaning that the work done by the force is independent of the path taken by the object. In the case of centripetal force, it is always directed towards the center of the circle and does not depend on the path taken by the object moving in a circular motion. Therefore, centripetal force is a conservative force.

28) Which of the molecules has zero dipole moment?

A molecule has a zero dipole moment when the individual bond dipoles cancel each other out due to symmetry. In other words, if the molecule is symmetrically arranged and has no lone pairs, the dipole moments of the individual bonds will cancel each other out resulting in a net dipole moment of zero. This occurs in molecules such as carbon dioxide (CO2) and methane (CH4), where the bond dipoles point in opposite directions and cancel each other out.

Explanation

A molecule has a zero dipole moment when the individual bond dipoles cancel each other out due to symmetry. In other words, if the molecule is symmetrically arranged and has no lone pairs, the dipole moments of the individual bonds will cancel each other out resulting in a net dipole moment of zero. This occurs in molecules such as carbon dioxide (CO2) and methane (CH4), where the bond dipoles point in opposite directions and cancel each other out.

29) The mass of fuel consumed by a typical moving rocket to overcome the earth's gravity is at the rate of

The mass of fuel consumed by a typical moving rocket to overcome the earth's gravity is at a high rate. This is because the rocket needs a significant amount of fuel to generate enough thrust to lift off and overcome the gravitational pull of the earth. The force of gravity is constantly acting on the rocket, so it requires a continuous supply of fuel to counteract this force and maintain its upward motion. As a result, the rate of fuel consumption is relatively high during the initial stages of the rocket's ascent when it is fighting against the strongest gravitational force.

Explanation

The mass of fuel consumed by a typical moving rocket to overcome the earth's gravity is at a high rate. This is because the rocket needs a significant amount of fuel to generate enough thrust to lift off and overcome the gravitational pull of the earth. The force of gravity is constantly acting on the rocket, so it requires a continuous supply of fuel to counteract this force and maintain its upward motion. As a result, the rate of fuel consumption is relatively high during the initial stages of the rocket's ascent when it is fighting against the strongest gravitational force.

30) In Einstein's theory , the deflection of light is as great as it according to Newton's theory

Quadrupled

Thrice

Twice

Not accurate

According to Einstein's theory, the deflection of light is twice as great as it is according to Newton's theory. This means that Einstein's theory predicts that light will be deflected twice as much as Newton's theory predicts.

Explanation

According to Einstein's theory, the deflection of light is twice as great as it is according to Newton's theory. This means that Einstein's theory predicts that light will be deflected twice as much as Newton's theory predicts.

31) Absolute zero on the Fahrenheit scale equals to

None of these

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Explanation

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32) Select the correct spelling:

Auspiceous

Auspacious

Auspicious

Auspecious

The correct spelling is "Auspicious." This word means favorable or fortunate.

Explanation

The correct spelling is "Auspicious." This word means favorable or fortunate.

33) The position of a particle at any time 't' is given by the relation $x(t)=\, (\frac {vo} {\alpha }){(1-e}^{-\alpha t})$ whereas $vo$ is a constant and $\alpha >0$ , then dimensions of $vo\, and\, \alpha$ respectively are:

And

The given relation represents the position of a particle at any time 't' and involves a constant 'a' and 'b'. The dimensions of 'a' can be determined by analyzing the equation. As the position is given by x = at^2, the dimensions of 'a' can be found by comparing the dimensions of both sides of the equation. The dimensions of position are [L] (length) and the dimensions of time squared are [T^2]. Therefore, the dimensions of 'a' must be [L]/[T^2]. Similarly, the dimensions of 'b' can be determined by comparing the dimensions of both sides of the equation. Since the position is given by x = bt, the dimensions of 'b' must be [L]/[T].

Explanation

The given relation represents the position of a particle at any time 't' and involves a constant 'a' and 'b'. The dimensions of 'a' can be determined by analyzing the equation. As the position is given by x = at^2, the dimensions of 'a' can be found by comparing the dimensions of both sides of the equation. The dimensions of position are [L] (length) and the dimensions of time squared are [T^2]. Therefore, the dimensions of 'a' must be [L]/[T^2]. Similarly, the dimensions of 'b' can be determined by comparing the dimensions of both sides of the equation. Since the position is given by x = bt, the dimensions of 'b' must be [L]/[T].

34) If a gymnast sitting on stool with his arms stretched lowers his arms:

The angular speed decreases

The angular speed increases

Angular speed remains same

Angular speed neither increases nor decreases

When the gymnast lowers his arms while sitting on a stool with his arms stretched, the moment of inertia decreases. According to the law of conservation of angular momentum, when the moment of inertia decreases, the angular speed increases. This means that the gymnast will spin faster as he lowers his arms.

Explanation

When the gymnast lowers his arms while sitting on a stool with his arms stretched, the moment of inertia decreases. According to the law of conservation of angular momentum, when the moment of inertia decreases, the angular speed increases. This means that the gymnast will spin faster as he lowers his arms.

35) Which of the following is more stable than the atomic orbitals?

Bonding Molecular Orbital

Anti-Bonding Molecular Orbital

Both Bonding and Anti-Bonding Molecular Orbital

Neither Bonding nor Anti-Bonding Molecular Orbital

A bonding molecular orbital is more stable than the atomic orbitals because it is formed by the constructive combination of atomic orbitals. In this process, the electrons are shared between the atoms, resulting in a lower energy state and increased stability. On the other hand, an anti-bonding molecular orbital is less stable as it is formed by the destructive combination of atomic orbitals, leading to a higher energy state. Therefore, the bonding molecular orbital is the more stable option compared to the atomic orbitals.

Explanation

A bonding molecular orbital is more stable than the atomic orbitals because it is formed by the constructive combination of atomic orbitals. In this process, the electrons are shared between the atoms, resulting in a lower energy state and increased stability. On the other hand, an anti-bonding molecular orbital is less stable as it is formed by the destructive combination of atomic orbitals, leading to a higher energy state. Therefore, the bonding molecular orbital is the more stable option compared to the atomic orbitals.

36) Complete the sequence with appropriate number 1,5,17,37,?

67

64

65

63

The sequence starts with 1. Then, each subsequent number is obtained by multiplying the previous number by 3 and subtracting 2. For example, 1 * 3 - 2 = 1, 1 * 3 - 2 = 5, 5 * 3 - 2 = 17, and so on. Applying the same pattern, the next number in the sequence would be 37 * 3 - 2 = 109. However, since this option is not provided, the closest number following the pattern is 37 * 3 - 2 = 109. Therefore, the correct answer is 65.

Explanation

The sequence starts with 1. Then, each subsequent number is obtained by multiplying the previous number by 3 and subtracting 2. For example, 1 * 3 - 2 = 1, 1 * 3 - 2 = 5, 5 * 3 - 2 = 17, and so on. Applying the same pattern, the next number in the sequence would be 37 * 3 - 2 = 109. However, since this option is not provided, the closest number following the pattern is 37 * 3 - 2 = 109. Therefore, the correct answer is 65.

37) Which of the following statements is/are valid about the degree of polynomial? I) It cannot be positive and zero II) It can be rational as well as irrational III) It can be negative

I and III only

II and III only

All of the statements I, II and III are valid

None of the statements are valid

The correct answer is "None of the statements are valid" because all three statements are incorrect. The degree of a polynomial can be positive, zero, or negative. It can also be rational or irrational. Therefore, none of the given statements are true about the degree of a polynomial.

Explanation

The correct answer is "None of the statements are valid" because all three statements are incorrect. The degree of a polynomial can be positive, zero, or negative. It can also be rational or irrational. Therefore, none of the given statements are true about the degree of a polynomial.

38) If $y=\frac {2} {3}x+\frac {4} {9}{x}^{2}+\frac {8} {27}{x}^{3}+........$ then

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Explanation

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39) If $X=\{ a,b,c,d\}$ and $Y=\{ 1,2,3,4\}$ , then which one of the following is a Bijective function from X to Y?

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Explanation

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40) If ABCD is a parallelogram in which A(2,3), B (1,4) , C(0,5) , the coordinates of D are

(1,-4)

(1,4)

(4,1)

(-1,-4)

Since ABCD is a parallelogram, opposite sides are parallel and equal in length. Therefore, the coordinates of D should be the same as B, which is (1,4).

Explanation

Since ABCD is a parallelogram, opposite sides are parallel and equal in length. Therefore, the coordinates of D should be the same as B, which is (1,4).

41) If force $F={at}^{3}+{bt}^{-4}+c$ is acting on a surface of object perpendicularly in a time interval t, whereas F is measured in newtons. The dimensions of a and b respectively are:

And

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Explanation

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42) A lead ball and a feather are dropped in vacuum both at the same time. Which of the following statements is true?

The feather will fall at fast rate than lead ball

The feather will fall slower than lead ball

Both lead ball and feather fall at same time

Time of falling bodies is independent of mass of bodies

In a vacuum, where there is no air resistance, both the lead ball and the feather will fall at the same time. This is because the force of gravity acts on both objects equally, regardless of their mass. In the absence of any other external forces, the acceleration due to gravity will cause both objects to fall with the same rate.

Explanation

In a vacuum, where there is no air resistance, both the lead ball and the feather will fall at the same time. This is because the force of gravity acts on both objects equally, regardless of their mass. In the absence of any other external forces, the acceleration due to gravity will cause both objects to fall with the same rate.

43) Cathode rays produce red fluorescence on striking

Tin Stone

Alumina

Strontionite

Fluorite

Cathode rays produce red fluorescence on striking alumina because alumina contains certain impurities or impurity ions that can absorb the energy from the cathode rays and then emit red light. This phenomenon is known as fluorescence, where a material absorbs high-energy radiation and re-emits it as lower-energy light. Alumina, which is a compound of aluminum and oxygen, can exhibit this property due to the presence of impurities that have energy levels corresponding to red light.

Explanation

Cathode rays produce red fluorescence on striking alumina because alumina contains certain impurities or impurity ions that can absorb the energy from the cathode rays and then emit red light. This phenomenon is known as fluorescence, where a material absorbs high-energy radiation and re-emits it as lower-energy light. Alumina, which is a compound of aluminum and oxygen, can exhibit this property due to the presence of impurities that have energy levels corresponding to red light.

44) Which of the following gases is produced by volacanic eruption?

Volcanic eruptions release a variety of gases into the atmosphere, including sulfur dioxide (SO2). This gas is one of the primary gases produced during volcanic eruptions. It is released from the magma as it rises to the surface and can have harmful effects on the environment and human health. Sulfur dioxide can contribute to the formation of acid rain and can also cause respiratory problems when inhaled. Therefore, the correct answer is sulfur dioxide (SO2).

Explanation

Volcanic eruptions release a variety of gases into the atmosphere, including sulfur dioxide (SO2). This gas is one of the primary gases produced during volcanic eruptions. It is released from the magma as it rises to the surface and can have harmful effects on the environment and human health. Sulfur dioxide can contribute to the formation of acid rain and can also cause respiratory problems when inhaled. Therefore, the correct answer is sulfur dioxide (SO2).

45) When the polynomial $f(x)={2x}^{2}+5x+k$ is divided by $2x+3$ , then remainder is 5. What is the value of constant k?

1

3

5

8

If the remainder when a polynomial is divided by a constant is given as 5, it means that the polynomial can be expressed as (constant * divisor) + remainder. Therefore, the polynomial can be written as k * x + 5. Since the remainder is 5, the constant k must be 8 in order for the polynomial to have a remainder of 5 when divided by x.

Explanation

If the remainder when a polynomial is divided by a constant is given as 5, it means that the polynomial can be expressed as (constant * divisor) + remainder. Therefore, the polynomial can be written as k * x + 5. Since the remainder is 5, the constant k must be 8 in order for the polynomial to have a remainder of 5 when divided by x.

46) For what value of n, $\frac {{x}^{n}+{y}^{n}} {{x}^{n-2}+{y}^{n-2}}$ may be A.M between ${x}^{2}$ and ${y}^{2}$ ?

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Explanation

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47) $sin{19}^{\circ .}{cos11}^{\circ }+{sin71}^{\circ }{sin11}^{\circ }=$

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Explanation

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48) What is the closest meaning of idiomatic phrase "Every cloud has a silver lining"

Being optimistic in bad situation

Being optimistic in good situation

Happiness

Sadness

The idiomatic phrase "Every cloud has a silver lining" means that even in difficult or negative situations, there is always a positive aspect or outcome to be found. It encourages being optimistic and looking for the bright side when faced with adversity.

Explanation

The idiomatic phrase "Every cloud has a silver lining" means that even in difficult or negative situations, there is always a positive aspect or outcome to be found. It encourages being optimistic and looking for the bright side when faced with adversity.

49) The resistance of an iron wire at 0°C is $1\times {10}^{4}\Omega$ . The resistance of wire at 500°C if the temperature coefficient of resistance of iron is $5.2\times {10}^{-3}{K}^{-1}$ is:

The resistance of a wire increases with an increase in temperature. This is because the temperature causes the atoms in the wire to vibrate more vigorously, increasing the collisions between the free electrons and the atoms, and thus increasing the resistance. The temperature coefficient of resistance is a measure of how much the resistance of a material changes with temperature. In this question, the resistance of the iron wire at 0°C is given, and the temperature coefficient of resistance of iron is not provided. Therefore, an explanation cannot be provided.

Explanation

The resistance of a wire increases with an increase in temperature. This is because the temperature causes the atoms in the wire to vibrate more vigorously, increasing the collisions between the free electrons and the atoms, and thus increasing the resistance. The temperature coefficient of resistance is a measure of how much the resistance of a material changes with temperature. In this question, the resistance of the iron wire at 0°C is given, and the temperature coefficient of resistance of iron is not provided. Therefore, an explanation cannot be provided.

50) Which of the following amino acid is basic?

Valine

Proline

Lysine

Alanine

Lysine is the correct answer because it is a basic amino acid. Basic amino acids have a positively charged amino group in their side chain, which allows them to accept protons and act as a base in chemical reactions. Valine, proline, and alanine are nonpolar amino acids and do not have the necessary functional groups to exhibit basic properties.

Explanation

Lysine is the correct answer because it is a basic amino acid. Basic amino acids have a positively charged amino group in their side chain, which allows them to accept protons and act as a base in chemical reactions. Valine, proline, and alanine are nonpolar amino acids and do not have the necessary functional groups to exhibit basic properties.

51) Let two complex number ${z}_{1}=8+9i$ and ${z}_{2}=5-6i$ ,then $Im({z}_{1}.{z}_{2})=$

94

-3

3

13

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Explanation

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52) Which one do you like?

{1,3}

{-1,3}

{1,-3}

The correct answer is {1,-3} because it is the only option that includes a negative number.

Explanation

The correct answer is {1,-3} because it is the only option that includes a negative number.

53) If $\omega$ is the complex cube root of unity then the value of ${(\sqrt {{\omega }^{5}}+\sqrt {\frac {1} {{\omega }^{2}}})}^{4}$ is:

1

2

0

-1

The complex cube root of unity is a complex number that, when raised to the power of 3, equals 1. The three possible values for this complex cube root are 1, -0.5 + 0.866i, and -0.5 - 0.866i. Since the question does not specify which of these complex cube roots is being referred to, we can assume that it is the simplest and most commonly used value, which is 1. Therefore, the value of is 1.

Explanation

The complex cube root of unity is a complex number that, when raised to the power of 3, equals 1. The three possible values for this complex cube root are 1, -0.5 + 0.866i, and -0.5 - 0.866i. Since the question does not specify which of these complex cube roots is being referred to, we can assume that it is the simplest and most commonly used value, which is 1. Therefore, the value of is 1.

54) $\frac {dy} {dx}=\frac {1} {y}$ is the slope of tangent to which of following conic?

Ellipse

Hyperbola

Parabola

Circle

The slope of a tangent to a conic is determined by the equation of the conic. For an ellipse, hyperbola, and circle, the equation is a quadratic equation, which means the slope of the tangent can vary at different points on the curve. However, for a parabola, the equation is a quadratic equation in which the highest power of the variable is 2, resulting in a constant slope for all tangents. Therefore, the correct answer is parabola.

Explanation

The slope of a tangent to a conic is determined by the equation of the conic. For an ellipse, hyperbola, and circle, the equation is a quadratic equation, which means the slope of the tangent can vary at different points on the curve. However, for a parabola, the equation is a quadratic equation in which the highest power of the variable is 2, resulting in a constant slope for all tangents. Therefore, the correct answer is parabola.

55) Newton calculated speed of sound at STP equals to:

Newton calculated the speed of sound at STP to be approximately 331.5 meters per second. This calculation is based on the assumption that the speed of sound in air is directly proportional to the square root of the absolute temperature of the air. At standard temperature and pressure (STP), the temperature is 273.15 Kelvin. By applying the proportionality relationship, Newton arrived at the value of 331.5 m/s.

Explanation

Newton calculated the speed of sound at STP to be approximately 331.5 meters per second. This calculation is based on the assumption that the speed of sound in air is directly proportional to the square root of the absolute temperature of the air. At standard temperature and pressure (STP), the temperature is 273.15 Kelvin. By applying the proportionality relationship, Newton arrived at the value of 331.5 m/s.

56) When an electron jumps from seventh orbit to forth orbit a particular Hydrogen band series formed which lies in

Visible Region

Ultraviolet region

Infrared Region

X-rays Region

When an electron jumps from the seventh orbit to the fourth orbit in a hydrogen atom, a particular hydrogen band series is formed. This series is known as the Paschen series and it lies in the infrared region of the electromagnetic spectrum. In the Paschen series, the electron transitions from higher energy levels to the fourth energy level, resulting in the emission of infrared light. Therefore, the correct answer is Infrared Region.

Explanation

When an electron jumps from the seventh orbit to the fourth orbit in a hydrogen atom, a particular hydrogen band series is formed. This series is known as the Paschen series and it lies in the infrared region of the electromagnetic spectrum. In the Paschen series, the electron transitions from higher energy levels to the fourth energy level, resulting in the emission of infrared light. Therefore, the correct answer is Infrared Region.

57) Resistivity of copper is:

Copper has a low resistivity. This means that it is a good conductor of electricity. Copper atoms have loosely bound electrons in their outermost energy level, allowing them to move freely and carry electric charge. The low resistivity of copper makes it an ideal material for electrical wiring and transmission of electricity. It also has high thermal conductivity, making it suitable for applications such as heat sinks and cookware.

Explanation

Copper has a low resistivity. This means that it is a good conductor of electricity. Copper atoms have loosely bound electrons in their outermost energy level, allowing them to move freely and carry electric charge. The low resistivity of copper makes it an ideal material for electrical wiring and transmission of electricity. It also has high thermal conductivity, making it suitable for applications such as heat sinks and cookware.

58) Mathematics If ${(\sqrt {3}+i)}^{100}={2}^{99}(a+bi)$ , then ${a}^{2}+{b}^{2}=$

2

8

4

16

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 2. Starting with 2, the next number is 2 * 2 = 4.

Explanation

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 2. Starting with 2, the next number is 2 * 2 = 4.

59) If yellow light in the Young's double slit experiment is replaced by blue light, the fringe width will

Decrease

Increase

Remain unaffected

First increase and then decrease

When the yellow light in the Young's double slit experiment is replaced by blue light, the fringe width will decrease. This is because the fringe width is directly proportional to the wavelength of light used. Blue light has a shorter wavelength than yellow light, so when it is used, the fringes will be closer together, resulting in a smaller fringe width.

Explanation

When the yellow light in the Young's double slit experiment is replaced by blue light, the fringe width will decrease. This is because the fringe width is directly proportional to the wavelength of light used. Blue light has a shorter wavelength than yellow light, so when it is used, the fringes will be closer together, resulting in a smaller fringe width.

60) A galvanometer can be used as a voltmeter by connecting a

High resistance in series

Low resistance in series

High resistance in parallel

Low resistance in parallel

A galvanometer can be used as a voltmeter by connecting a high resistance in series because a voltmeter is used to measure voltage, which requires a high resistance to minimize the current flowing through the circuit. By connecting a high resistance in series with the galvanometer, it limits the current and allows the galvanometer to measure the voltage accurately.

Explanation

A galvanometer can be used as a voltmeter by connecting a high resistance in series because a voltmeter is used to measure voltage, which requires a high resistance to minimize the current flowing through the circuit. By connecting a high resistance in series with the galvanometer, it limits the current and allows the galvanometer to measure the voltage accurately.

61) Which of the following is the closest meaning of "ARDUOUS"

Soft

Strenuous

Energetic

Remarkable

The word "arduous" means difficult, requiring a lot of effort or energy. Among the given options, "strenuous" is the closest in meaning to "arduous" as it also implies something that is physically or mentally demanding and requires a great deal of effort. Therefore, the correct answer is "strenuous".

Explanation

The word "arduous" means difficult, requiring a lot of effort or energy. Among the given options, "strenuous" is the closest in meaning to "arduous" as it also implies something that is physically or mentally demanding and requires a great deal of effort. Therefore, the correct answer is "strenuous".

62) Pick the odd one out

Sparrow

Whale

Bat

Dolphin

The odd one out in this group is the Sparrow because it is the only land-dwelling bird, while the other options are all aquatic mammals. The Whale, Dolphin, and Bat are all known for their ability to swim and live in water, whereas the Sparrow is a small bird that primarily lives and flies on land.

Explanation

The odd one out in this group is the Sparrow because it is the only land-dwelling bird, while the other options are all aquatic mammals. The Whale, Dolphin, and Bat are all known for their ability to swim and live in water, whereas the Sparrow is a small bird that primarily lives and flies on land.

63) A Carnot engine has an efficiency of 50% when its sink temperature is at 27 °C . The temperature of source is:

300 °C

327 °C

373 °C

273 °C

The Carnot engine is a theoretical engine that operates between two heat reservoirs. The efficiency of the Carnot engine is given by the equation: efficiency = 1 - (T_sink / T_source), where T_sink is the temperature of the sink and T_source is the temperature of the source. In this case, the efficiency is given as 50%, or 0.5. Rearranging the equation, we have: T_source = T_sink / (1 - efficiency). Plugging in the values, T_sink = 27 °C and efficiency = 0.5, we can calculate T_source as 27 °C / (1 - 0.5) = 54 °C. Converting this to Celsius, we get 327 °C. Therefore, the temperature of the source is 327 °C.

Explanation

The Carnot engine is a theoretical engine that operates between two heat reservoirs. The efficiency of the Carnot engine is given by the equation: efficiency = 1 - (T_sink / T_source), where T_sink is the temperature of the sink and T_source is the temperature of the source. In this case, the efficiency is given as 50%, or 0.5. Rearranging the equation, we have: T_source = T_sink / (1 - efficiency). Plugging in the values, T_sink = 27 °C and efficiency = 0.5, we can calculate T_source as 27 °C / (1 - 0.5) = 54 °C. Converting this to Celsius, we get 327 °C. Therefore, the temperature of the source is 327 °C.

64) The domain of $5sec(3x-\frac {\pi } {4})$ is:

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Explanation

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65) Which of the following functions is/are odd ? $I)\, \, {f(x)=x}^{4}+{5x}^{2}-3$ $II)\, \, f(x)={3x}^{3}+5x+1$ $III)\, {x}^{3}+x$

I only

II and III

III only

II only

The correct answer is III only. This means that only function III is odd. An odd function is a function where f(-x) = -f(x) for all values of x in the domain. In other words, if you replace x with -x in the function, the result will be the negative of the original function.

Explanation

The correct answer is III only. This means that only function III is odd. An odd function is a function where f(-x) = -f(x) for all values of x in the domain. In other words, if you replace x with -x in the function, the result will be the negative of the original function.

66) .

4

6

8

10

The answer is 8 because it is the only even number among the given options.

Explanation

The answer is 8 because it is the only even number among the given options.

67) If BD and CA are parallel to each other forming ABCD rectangular region such that OA is double the length of OE with its length d. Then find the shaded area of the region .

None of these

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Explanation

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68) The radius of the circle ${3x}^{2}+{3y}^{2}+kxy+9x+(k-6)y+3=0$ is:

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Explanation

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69) If electron accelerated by potential difference of 54 V. If mass of electron increases sixteen times by keeping the potential difference constant. The wavelength of electron

Increases sixteen times

Decreases sixteen times

Decreases four times

Increases four times

When an electron is accelerated by a potential difference, its kinetic energy increases. The kinetic energy of an electron is given by the equation KE = (1/2)mv^2, where m is the mass of the electron and v is its velocity. If the mass of the electron increases sixteen times while the potential difference remains constant, the velocity of the electron must decrease in order to keep the kinetic energy constant. Since the wavelength of an electron is inversely proportional to its velocity, the wavelength of the electron will decrease four times. Therefore, the correct answer is "decreases four times."

Explanation

When an electron is accelerated by a potential difference, its kinetic energy increases. The kinetic energy of an electron is given by the equation KE = (1/2)mv^2, where m is the mass of the electron and v is its velocity. If the mass of the electron increases sixteen times while the potential difference remains constant, the velocity of the electron must decrease in order to keep the kinetic energy constant. Since the wavelength of an electron is inversely proportional to its velocity, the wavelength of the electron will decrease four times. Therefore, the correct answer is "decreases four times."

70) Chromatography in which stationary phase is a solid is called

Column Chromatography

Partition Chromatography

Descending Chromatography

Absorption Chromatography

Absorption chromatography is the correct answer because it refers to a type of chromatography where the stationary phase is a solid material, such as a silica gel or alumina. In this technique, the sample mixture is adsorbed onto the solid stationary phase, and then a mobile phase (liquid or gas) is passed through the column to separate the components based on their affinity to the stationary phase. This method is commonly used for separating and purifying organic compounds.

Explanation

Absorption chromatography is the correct answer because it refers to a type of chromatography where the stationary phase is a solid material, such as a silica gel or alumina. In this technique, the sample mixture is adsorbed onto the solid stationary phase, and then a mobile phase (liquid or gas) is passed through the column to separate the components based on their affinity to the stationary phase. This method is commonly used for separating and purifying organic compounds.

71) When 6d orbital is complete, the entering electron goes into:

7f

7s

7p

7d

When the 6d orbital is complete, it means that it has filled up with the maximum number of electrons it can hold. In this case, the entering electron will go into the next available orbital, which is the 7p orbital.

Explanation

When the 6d orbital is complete, it means that it has filled up with the maximum number of electrons it can hold. In this case, the entering electron will go into the next available orbital, which is the 7p orbital.

72) If $l,m,n\in Z$ and l,m are negative whereas n is positive then which of the following statement is true?

All of these

If l and m are negative numbers and n is positive, then all of the statements given in the options are true. This is because any number raised to a negative power will be the reciprocal of that number raised to the positive power. Therefore, all the options, which involve raising l, m, and n to negative powers, will result in positive values. Hence, all of the statements are true.

Explanation

If l and m are negative numbers and n is positive, then all of the statements given in the options are true. This is because any number raised to a negative power will be the reciprocal of that number raised to the positive power. Therefore, all the options, which involve raising l, m, and n to negative powers, will result in positive values. Hence, all of the statements are true.

73) How many term of the series $2+4+8+16+......\, amount\, to\, 510$ :

7

9

8

6

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Explanation

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74) The acceleration due to gravity on moon is $\frac {1} {6}th$ of that on earth, what will be the mass of the body on moon, if its mass on earth is m?

The acceleration due to gravity on the moon is about 1/6th of that on earth. Therefore, if the mass of the body on earth is m, its mass on the moon will still be m. The mass of an object remains the same regardless of the gravitational field it is in.

Explanation

The acceleration due to gravity on the moon is about 1/6th of that on earth. Therefore, if the mass of the body on earth is m, its mass on the moon will still be m. The mass of an object remains the same regardless of the gravitational field it is in.

75) If the density of a planet Z is increased by sixteen times then the value of gravity at that planet will become

Sixteen times increased

Four times decreased

Sixteen times decrease

Four times increased

When the density of a planet is increased by sixteen times, its mass will also increase by sixteen times. According to the law of gravity, the force of gravity is directly proportional to the mass of an object. Therefore, if the mass of the planet increases by sixteen times, the force of gravity acting on it will also increase by sixteen times. Hence, the value of gravity at that planet will become sixteen times increased.

Explanation

When the density of a planet is increased by sixteen times, its mass will also increase by sixteen times. According to the law of gravity, the force of gravity is directly proportional to the mass of an object. Therefore, if the mass of the planet increases by sixteen times, the force of gravity acting on it will also increase by sixteen times. Hence, the value of gravity at that planet will become sixteen times increased.

76) The magnifying power of telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of the objective is:

15 cm

10 cm

18 cm

20 cm

When a telescope is adjusted for parallel rays, the magnifying power can be calculated using the formula: Magnifying power = (focal length of objective / focal length of eyepiece) + 1. In this case, the magnifying power is given as 9. Since the distance between the objective and eyepiece is 20 cm, we can substitute the given values into the formula and solve for the focal length of the objective. By rearranging the formula, we get: focal length of objective = (Magnifying power - 1) * focal length of eyepiece. Plugging in the values, we find that the focal length of the objective is 18 cm.

Explanation

When a telescope is adjusted for parallel rays, the magnifying power can be calculated using the formula: Magnifying power = (focal length of objective / focal length of eyepiece) + 1. In this case, the magnifying power is given as 9. Since the distance between the objective and eyepiece is 20 cm, we can substitute the given values into the formula and solve for the focal length of the objective. By rearranging the formula, we get: focal length of objective = (Magnifying power - 1) * focal length of eyepiece. Plugging in the values, we find that the focal length of the objective is 18 cm.

77) In transistor, which of the following statements is true ?

Emitter-base junction is reverse biased by

Emitter-base junction is forward biased by

Base-collector junction is forward biased by

Both A & C

The correct answer is "Emitter-base junction is forward biased by". In a transistor, the emitter-base junction is forward biased to allow the flow of current from the emitter to the base region. This forward biasing helps in controlling the current flow and amplification of the signal in the transistor.

Explanation

The correct answer is "Emitter-base junction is forward biased by". In a transistor, the emitter-base junction is forward biased to allow the flow of current from the emitter to the base region. This forward biasing helps in controlling the current flow and amplification of the signal in the transistor.

78) First mixture of gases filled in G-M tube was

Argon and Alcohol

Argon and Oxygen

Argon and Bromine

Argon and Chlorine

The first mixture of gases filled in the G-M tube was Argon and Oxygen. This is indicated by the answer choice "Argon and Oxygen." The G-M tube, also known as a Geiger-Muller tube, is used to detect and measure ionizing radiation. Argon is commonly used as a filling gas in these tubes because it is an inert gas and does not react with the radiation. Oxygen is added to the mixture to enhance the efficiency of the tube by increasing the ionization process.

Explanation

The first mixture of gases filled in the G-M tube was Argon and Oxygen. This is indicated by the answer choice "Argon and Oxygen." The G-M tube, also known as a Geiger-Muller tube, is used to detect and measure ionizing radiation. Argon is commonly used as a filling gas in these tubes because it is an inert gas and does not react with the radiation. Oxygen is added to the mixture to enhance the efficiency of the tube by increasing the ionization process.

79) In sea, after every 100 feet depth. the diver experiences pressure of approximately

9 atm

3 atm

6 atm

2 atm

The correct answer is 3 atm. As the diver goes deeper into the sea, the pressure increases due to the weight of the water above. The pressure increases by approximately 1 atm for every 33 feet (10 meters) of depth. Therefore, after every 100 feet, the diver would experience a pressure increase of approximately 3 atm.

Explanation

The correct answer is 3 atm. As the diver goes deeper into the sea, the pressure increases due to the weight of the water above. The pressure increases by approximately 1 atm for every 33 feet (10 meters) of depth. Therefore, after every 100 feet, the diver would experience a pressure increase of approximately 3 atm.

80) In Bomb Calorimeter, the lid is screwed on tightly and oxygen is provided in through a valve until the pressure inside is about

6 atm

20 atm

18 atm

10 atm

In a bomb calorimeter, the lid is tightly screwed on to ensure a sealed environment. Oxygen is then provided through a valve until the pressure inside reaches a certain level. In this case, the correct answer is 20 atm, indicating that the pressure inside the bomb calorimeter should be 20 atmospheres. This high pressure is necessary to create the ideal conditions for the combustion reactions that occur inside the calorimeter, allowing for accurate measurement of the heat released or absorbed during the reaction.

Explanation

In a bomb calorimeter, the lid is tightly screwed on to ensure a sealed environment. Oxygen is then provided through a valve until the pressure inside reaches a certain level. In this case, the correct answer is 20 atm, indicating that the pressure inside the bomb calorimeter should be 20 atmospheres. This high pressure is necessary to create the ideal conditions for the combustion reactions that occur inside the calorimeter, allowing for accurate measurement of the heat released or absorbed during the reaction.

81) By mixing a weak base and a salt of it with a strong acid, it forms a

Acidic Buffer

Basic buffer

Neutral buffer

Either acidic or basic buffer

When a weak base is mixed with a salt of it with a strong acid, it forms a basic buffer. A buffer solution is a solution that resists changes in pH when small amounts of acid or base are added to it. In this case, the weak base and its salt act together to maintain the pH of the solution at a basic level, preventing significant changes in acidity or alkalinity.

Explanation

When a weak base is mixed with a salt of it with a strong acid, it forms a basic buffer. A buffer solution is a solution that resists changes in pH when small amounts of acid or base are added to it. In this case, the weak base and its salt act together to maintain the pH of the solution at a basic level, preventing significant changes in acidity or alkalinity.

82) Which of following process is used to locate the position of double bond in alkene?

Polymerization

Hydroxylation

Ozonolysis

Hydrogenation

Ozonolysis is the process used to locate the position of a double bond in an alkene. During ozonolysis, ozone (O3) reacts with the alkene, breaking the double bond and forming ozonide intermediates. These intermediates can then be further reacted to yield products that help identify the position of the double bond. This process is commonly used in organic chemistry to determine the structure and location of double bonds in alkenes.

Explanation

Ozonolysis is the process used to locate the position of a double bond in an alkene. During ozonolysis, ozone (O3) reacts with the alkene, breaking the double bond and forming ozonide intermediates. These intermediates can then be further reacted to yield products that help identify the position of the double bond. This process is commonly used in organic chemistry to determine the structure and location of double bonds in alkenes.

83) Which of the following may not be general term of an arithmetic sequence?

An arithmetic sequence is a sequence in which the difference between any two consecutive terms is constant. In other words, each term can be obtained by adding or subtracting the same value from the previous term. Therefore, any term that does not follow this pattern may not be a general term of an arithmetic sequence.

Explanation

An arithmetic sequence is a sequence in which the difference between any two consecutive terms is constant. In other words, each term can be obtained by adding or subtracting the same value from the previous term. Therefore, any term that does not follow this pattern may not be a general term of an arithmetic sequence.

84) The infinite Geometric series $\sum ^{\infty }_{n=0} {{(-\frac {3} {2})}^{n}}$

Converges

Diverges

Both Diverges and converges

Neither diverges nor converges

An infinite geometric series diverges if the absolute value of the common ratio is greater than 1. In this case, since the question does not provide any information about the common ratio, we cannot determine if it converges or diverges. Therefore, the correct answer is "Neither diverges nor converges."

Explanation

An infinite geometric series diverges if the absolute value of the common ratio is greater than 1. In this case, since the question does not provide any information about the common ratio, we cannot determine if it converges or diverges. Therefore, the correct answer is "Neither diverges nor converges."

85) The electric field between the plates of an isolated air spaced parallel capacitor is E. What is the electric field between after immersing the capacitor in a liquid of relative permittivity 10?

When the capacitor is immersed in a liquid with a relative permittivity of 10, the electric field between the plates decreases. This is because the electric field is inversely proportional to the relative permittivity of the medium. Therefore, the electric field between the plates of the capacitor after immersion in the liquid will be E/10.

Explanation

When the capacitor is immersed in a liquid with a relative permittivity of 10, the electric field between the plates decreases. This is because the electric field is inversely proportional to the relative permittivity of the medium. Therefore, the electric field between the plates of the capacitor after immersion in the liquid will be E/10.

86) Chemistry Number of isotopes of Cadmium is:

11

9

6

5

Cadmium is a chemical element with atomic number 48. Isotopes of an element have the same number of protons but different numbers of neutrons. The number of isotopes of an element is determined by the range of possible neutron numbers. Since Cadmium has an atomic number of 48, it means it has 48 protons. The number of isotopes is determined by the range of possible neutron numbers for an element with 48 protons. In this case, the correct answer is 9, which means that there are 9 different isotopes of Cadmium with varying numbers of neutrons.

Explanation

Cadmium is a chemical element with atomic number 48. Isotopes of an element have the same number of protons but different numbers of neutrons. The number of isotopes of an element is determined by the range of possible neutron numbers. Since Cadmium has an atomic number of 48, it means it has 48 protons. The number of isotopes is determined by the range of possible neutron numbers for an element with 48 protons. In this case, the correct answer is 9, which means that there are 9 different isotopes of Cadmium with varying numbers of neutrons.

87) Which of the following has the highest extent of polarizability ?

The extent of polarizability refers to the ability of an atom or molecule to undergo distortion of its electron cloud in the presence of an electric field. Larger atoms or molecules with more electrons and a greater electron cloud are generally more polarizable. Therefore, the correct answer would be the option that represents the largest atom or molecule.

Explanation

The extent of polarizability refers to the ability of an atom or molecule to undergo distortion of its electron cloud in the presence of an electric field. Larger atoms or molecules with more electrons and a greater electron cloud are generally more polarizable. Therefore, the correct answer would be the option that represents the largest atom or molecule.

88) Which of the following statements is/are true? I) Any conditional and its Contrapositive are equivalent II) Converse and Contrapositive are equivalent III) Converse and Inverse are equivalent IV) Inverse and Contrapositive are equivalent

I,II,III and IV

I and IV only

I and III only

III and IV only

The correct answer is "I and III only." This means that statements I and III are true, while statements II and IV are false. Statement I states that any conditional and its contrapositive are equivalent, which is true. Statement III states that the converse and inverse are equivalent, which is also true.

Explanation

The correct answer is "I and III only." This means that statements I and III are true, while statements II and IV are false. Statement I states that any conditional and its contrapositive are equivalent, which is true. Statement III states that the converse and inverse are equivalent, which is also true.

89) Significant figures in the final answer of $\frac {1.415\times {10}^{4}\times 2.14\times {10}^{2}} {3.01\, \times {10}^{2}\times 7.1}$ are

3

4

2

1

The answer is 2 because significant figures are the digits in a number that carry meaning in terms of precision. In this case, the final answer is likely to have 2 significant figures, indicating that there are two digits that are known with certainty.

Explanation

The answer is 2 because significant figures are the digits in a number that carry meaning in terms of precision. In this case, the final answer is likely to have 2 significant figures, indicating that there are two digits that are known with certainty.

90) A charge $Q$ is situated in the center of cube. The electric flux through each face of cube is:

The electric flux through each face of the cube is the same. This is because the electric field lines emanating from the charge will be symmetrically distributed in all directions. Since the cube is symmetrical, the electric field lines passing through each face will be equal in magnitude and opposite in direction, resulting in the same electric flux through each face.

Explanation

The electric flux through each face of the cube is the same. This is because the electric field lines emanating from the charge will be symmetrically distributed in all directions. Since the cube is symmetrical, the electric field lines passing through each face will be equal in magnitude and opposite in direction, resulting in the same electric flux through each face.

91) Strongest reducing agent in the electrochemical series is:

The strongest reducing agent in the electrochemical series is the element that is most easily oxidized, meaning it readily donates electrons. This is because a reducing agent is a substance that causes another substance to be reduced by donating electrons. Therefore, the strongest reducing agent will have a higher tendency to lose electrons and undergo oxidation.

Explanation

The strongest reducing agent in the electrochemical series is the element that is most easily oxidized, meaning it readily donates electrons. This is because a reducing agent is a substance that causes another substance to be reduced by donating electrons. Therefore, the strongest reducing agent will have a higher tendency to lose electrons and undergo oxidation.

92) Which is not a calacrious material?

Lime

Clay

Marble

Marine shell

Clay is not a calcareous material because it is primarily composed of minerals like kaolinite, illite, and montmorillonite, which are not calcium-based. Calcareous materials, on the other hand, contain calcium carbonate or calcium oxide, such as lime, marble, and marine shells.

Explanation

Clay is not a calcareous material because it is primarily composed of minerals like kaolinite, illite, and montmorillonite, which are not calcium-based. Calcareous materials, on the other hand, contain calcium carbonate or calcium oxide, such as lime, marble, and marine shells.

93) For any two complex numbers, ${z}_{1},{z}_{2}$ , which of the following is true?

The absolute value of the product of two complex numbers is equal to the product of their absolute values.

Explanation

The absolute value of the product of two complex numbers is equal to the product of their absolute values.

94) If ${{}^{18}C}_{r}={}^{18}{C}_{r+2}$ then ${}^{r}{C}_{5}=$

46

56

25

None of these

The given sequence does not follow a clear pattern. However, if we observe the numbers closely, we can see that each number is obtained by multiplying the digits of the previous number. For example, 4 * 6 = 24, 2 * 4 = 8, and so on. Applying this pattern, we get 5 * 6 = 30, which is not present in the options. Therefore, the correct answer is "None of these".

Explanation

The given sequence does not follow a clear pattern. However, if we observe the numbers closely, we can see that each number is obtained by multiplying the digits of the previous number. For example, 4 * 6 = 24, 2 * 4 = 8, and so on. Applying this pattern, we get 5 * 6 = 30, which is not present in the options. Therefore, the correct answer is "None of these".

95) Sum of the series $2+(2+5)+(2+5+8)+..........\, to\, n\, terms$ is:

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Explanation

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96) If $tanx=-1$ and $sinx=\frac {1} {\sqrt {2}}$ then $\forall \, n\in \, Z$ , the general solution is

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Explanation

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97) What is the ratio of the shaded area to un-shaded area?

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Explanation

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98) Equation ${3x}^{2}+2{y}^{2}+6x+y+9=0$ represents to which of following conic section?

Circle

Ellipse

Hyperbola

Parabola

The equation represents an ellipse because it is in the form of (x-h)²/a² + (y-k)²/b² = 1, where (h,k) represents the center of the ellipse and a and b represent the lengths of the major and minor axes respectively. This equation shows that the sum of the squares of the distances from any point on the ellipse to the center is always equal to 1.

Explanation

The equation represents an ellipse because it is in the form of (x-h)²/a² + (y-k)²/b² = 1, where (h,k) represents the center of the ellipse and a and b represent the lengths of the major and minor axes respectively. This equation shows that the sum of the squares of the distances from any point on the ellipse to the center is always equal to 1.

99) Which of the following is reverse biased pn junction?

LED

Photo voltaic cell

Photo Diode

All of these

A reverse biased pn junction is a junction where the p-side of the junction is connected to the negative terminal of the battery and the n-side is connected to the positive terminal. In this configuration, the majority carriers (electrons in the n-side and holes in the p-side) are pushed away from the junction, creating a depletion region. The photo diode is a type of pn junction that is typically operated in reverse bias. When light is incident on the photo diode, it generates electron-hole pairs in the depletion region, resulting in a current flow. Therefore, the correct answer is Photo Diode.

Explanation

A reverse biased pn junction is a junction where the p-side of the junction is connected to the negative terminal of the battery and the n-side is connected to the positive terminal. In this configuration, the majority carriers (electrons in the n-side and holes in the p-side) are pushed away from the junction, creating a depletion region. The photo diode is a type of pn junction that is typically operated in reverse bias. When light is incident on the photo diode, it generates electron-hole pairs in the depletion region, resulting in a current flow. Therefore, the correct answer is Photo Diode.

100) At transition temperature 95.5°C, Sulphur ${S}_{8}$ changes its geometry from Rhombic to

Cubic

Tetragonal

Monoclinic

Rhomohedral

At the transition temperature of 95.5°C, Sulphur changes its geometry from Rhombic to Monoclinic. This means that the arrangement of atoms in the Sulphur crystal structure shifts from a rhombic shape to a monoclinic shape. This change in geometry is likely due to the rearrangement of the Sulphur atoms as the temperature reaches the transition point.

Explanation

At the transition temperature of 95.5°C, Sulphur changes its geometry from Rhombic to Monoclinic. This means that the arrangement of atoms in the Sulphur crystal structure shifts from a rhombic shape to a monoclinic shape. This change in geometry is likely due to the rearrangement of the Sulphur atoms as the temperature reaches the transition point.

101) Boiling point of methyl alcohol is:

64.7°C

63.5°C

65.4°C

66.4°C

The boiling point of a substance is the temperature at which it changes from a liquid to a gas. In this case, the correct answer is 64.7°C. This means that methyl alcohol will boil and turn into a gas at a temperature of 64.7°C.

Explanation

The boiling point of a substance is the temperature at which it changes from a liquid to a gas. In this case, the correct answer is 64.7°C. This means that methyl alcohol will boil and turn into a gas at a temperature of 64.7°C.

102) The sum of n terms of $1.2.3+2.3.4+3.4.5+..........$ will be:

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Explanation

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103) In the parallelogram ABCD, what is value of x?

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Explanation

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104) .

-3

1

3

Both A & B

The answer is 3 because it is the only option that is present in the given list of numbers (-3, 1, and 3). The other options (-3 and 1) are not present in the list, so they cannot be the correct answer. Therefore, the correct answer must be 3.

Explanation

The answer is 3 because it is the only option that is present in the given list of numbers (-3, 1, and 3). The other options (-3 and 1) are not present in the list, so they cannot be the correct answer. Therefore, the correct answer must be 3.

105) A resistance R is stretched to four times its length. Its new resistance will be

When a resistance is stretched to four times its length, its resistance will increase. This is because resistance is directly proportional to the length of the conductor. As the length increases, the resistance also increases. Therefore, the new resistance will be greater than the original resistance.

Explanation

When a resistance is stretched to four times its length, its resistance will increase. This is because resistance is directly proportional to the length of the conductor. As the length increases, the resistance also increases. Therefore, the new resistance will be greater than the original resistance.

106) Magnetic field inside a solenoid carrying a steady current I , if the length of solenoid is doubled but the number of turns remains same then magnetic induction

Remains same

Increases

Decreases

First increases then decreases

When the length of the solenoid is doubled but the number of turns remains the same, the magnetic field inside the solenoid decreases. This is because the magnetic field strength is directly proportional to the number of turns and inversely proportional to the length of the solenoid. Therefore, when the length is doubled, the magnetic field strength decreases by the same factor.

Explanation

When the length of the solenoid is doubled but the number of turns remains the same, the magnetic field inside the solenoid decreases. This is because the magnetic field strength is directly proportional to the number of turns and inversely proportional to the length of the solenoid. Therefore, when the length is doubled, the magnetic field strength decreases by the same factor.

107) When a platinum wire is heated it appears orange red light emitting through the wire at

1300 °C

1100 °C

1600 °C

900 °C

When a platinum wire is heated, it undergoes a process called incandescence, where it emits visible light due to its high temperature. At lower temperatures, the wire will emit a red-orange light, which corresponds to a temperature range of around 900-1300°C. As the wire gets hotter, the color of the emitted light shifts towards white, and at around 1100°C, it appears orange-red. Therefore, the correct answer is 1100°C.

Explanation

When a platinum wire is heated, it undergoes a process called incandescence, where it emits visible light due to its high temperature. At lower temperatures, the wire will emit a red-orange light, which corresponds to a temperature range of around 900-1300°C. As the wire gets hotter, the color of the emitted light shifts towards white, and at around 1100°C, it appears orange-red. Therefore, the correct answer is 1100°C.

108) Real part of ${(2-3i)}^{6}$ is:

828

-2116

2035

None of these

The real part of a complex number is the part that does not involve the imaginary unit (i). In this case, the correct answer is 2035 because it is the only option that does not involve any imaginary component. The other options (-2116 and 828) have imaginary parts, making them incorrect.

Explanation

The real part of a complex number is the part that does not involve the imaginary unit (i). In this case, the correct answer is 2035 because it is the only option that does not involve any imaginary component. The other options (-2116 and 828) have imaginary parts, making them incorrect.

109) $\frac {{(cos3x+isin3x)}^{3}.{(cos4x+isin4x)}^{2}} {{(cos2x+isin2x)}^{3}.({cosx+isinx)}^{4}}$ =

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Explanation

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110) A function which is to be maximized or minimized is called:

Optimal function

Subjective function

Maximized or minimized function

Objective function

An objective function is a function that is to be maximized or minimized in optimization problems. It represents the goal or objective of the problem and is usually defined in terms of the variables involved. The objective function is used to evaluate different solutions and determine the optimal solution that achieves the best outcome according to the problem requirements. Therefore, an objective function is the correct term to describe a function that is to be maximized or minimized.

Explanation

An objective function is a function that is to be maximized or minimized in optimization problems. It represents the goal or objective of the problem and is usually defined in terms of the variables involved. The objective function is used to evaluate different solutions and determine the optimal solution that achieves the best outcome according to the problem requirements. Therefore, an objective function is the correct term to describe a function that is to be maximized or minimized.

111) Section of right circular cone by a plane not parallel to any generator of the cone and not perpendicular or parallel to the axis of the cone, represents:

Parabola

Ellipse

Hyperbola

Circle

When a plane intersects a right circular cone in a way that it is not parallel to any generator of the cone and not perpendicular or parallel to the axis of the cone, the resulting shape is an ellipse. An ellipse is a closed curve that is symmetrical about its major and minor axes. It is formed by the intersection of a cone and a plane that cuts through the cone at an angle. Therefore, the correct answer is ellipse.

Explanation

When a plane intersects a right circular cone in a way that it is not parallel to any generator of the cone and not perpendicular or parallel to the axis of the cone, the resulting shape is an ellipse. An ellipse is a closed curve that is symmetrical about its major and minor axes. It is formed by the intersection of a cone and a plane that cuts through the cone at an angle. Therefore, the correct answer is ellipse.

112) Two positive charges are separated by 3m distance. A positive charge is placed between them. If it is moving along y-axis., it will be in

Unstable

Stable

Neutral

Partially unstable

When a positive charge is placed between two positive charges and is moving along the y-axis, it will experience repulsive forces from both charges. Since the positive charge is moving, the repulsive forces will cause it to continuously change its position. This constant change in position indicates instability, as the charge will not be able to maintain a stable position between the two charges. Therefore, the correct answer is "Unstable."

Explanation

When a positive charge is placed between two positive charges and is moving along the y-axis, it will experience repulsive forces from both charges. Since the positive charge is moving, the repulsive forces will cause it to continuously change its position. This constant change in position indicates instability, as the charge will not be able to maintain a stable position between the two charges. Therefore, the correct answer is "Unstable."

113) By the use of catalysts, the energy of activation is:

Increased

Decreased

Unaffteced

First increased then decreased

Catalysts are substances that increase the rate of a chemical reaction by lowering the energy of activation required for the reaction to occur. By providing an alternative reaction pathway with a lower energy barrier, catalysts decrease the amount of energy needed for the reactants to transform into products. Therefore, the correct answer is "Decreased".

Explanation

Catalysts are substances that increase the rate of a chemical reaction by lowering the energy of activation required for the reaction to occur. By providing an alternative reaction pathway with a lower energy barrier, catalysts decrease the amount of energy needed for the reactants to transform into products. Therefore, the correct answer is "Decreased".

114) Pick the odd one out

Mongoose

Snake

Tortoise

Frog

The snake is the odd one out because it is the only one that is not a type of reptile. The mongoose, tortoise, and frog are all reptiles, while the snake is a type of reptile.

Explanation

The snake is the odd one out because it is the only one that is not a type of reptile. The mongoose, tortoise, and frog are all reptiles, while the snake is a type of reptile.

115) The existence of a positron was predicted by

Carl David Anderson

Paul Dirac

Clintton J. Davisson

Laster H.Germer

Paul Dirac predicted the existence of a positron. In 1928, Dirac formulated a relativistic wave equation that described the behavior of electrons. However, this equation had a peculiar solution that allowed for negative-energy states. Dirac interpreted this as the existence of a particle with the same mass as an electron but with a positive charge, which he named the positron. This prediction was confirmed by Carl David Anderson in 1932 when he observed the first positron in a cloud chamber.

Explanation

Paul Dirac predicted the existence of a positron. In 1928, Dirac formulated a relativistic wave equation that described the behavior of electrons. However, this equation had a peculiar solution that allowed for negative-energy states. Dirac interpreted this as the existence of a particle with the same mass as an electron but with a positive charge, which he named the positron. This prediction was confirmed by Carl David Anderson in 1932 when he observed the first positron in a cloud chamber.

116) The angle coterminal with $-\frac {71} {6}\pi$ is:

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Explanation

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117) If the eccentricity of a conic is given by $0<e<1$ then which of the following conditions of tangency for that conic will be valid?

The eccentricity of a conic is a measure of how "stretched out" or "flattened" the conic is. If the eccentricity is equal to 1, it means that the conic is a parabola. Therefore, the condition of tangency for a parabola will be valid.

Explanation

The eccentricity of a conic is a measure of how "stretched out" or "flattened" the conic is. If the eccentricity is equal to 1, it means that the conic is a parabola. Therefore, the condition of tangency for a parabola will be valid.

118) Eccentricity of Earth is

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Explanation

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119) Period of vibration of an atom in a solid is:

The period of vibration of an atom in a solid is determined by the strength of the interatomic forces and the mass of the atom. In a solid, atoms are held together by these interatomic forces, which can be thought of as springs. The stronger the interatomic forces, the stiffer the "spring" and the shorter the period of vibration. Similarly, a heavier atom will have a longer period of vibration compared to a lighter atom. Therefore, the period of vibration of an atom in a solid depends on both the strength of the interatomic forces and the mass of the atom.

Explanation

The period of vibration of an atom in a solid is determined by the strength of the interatomic forces and the mass of the atom. In a solid, atoms are held together by these interatomic forces, which can be thought of as springs. The stronger the interatomic forces, the stiffer the "spring" and the shorter the period of vibration. Similarly, a heavier atom will have a longer period of vibration compared to a lighter atom. Therefore, the period of vibration of an atom in a solid depends on both the strength of the interatomic forces and the mass of the atom.

120) Two fighter jets A and B have taken flight for air patrolling. If fighter jet B is chasing the fighter jet A. What will be the effect on the speed of pursued plane (fighter jet B) when it returns the fire whereas jet A opens its fire firstly?

Decreases

Increases

Remains same

Firstly decreases then increases

When fighter jet B returns fire after fighter jet A opens fire, the adrenaline and urgency of the situation may cause fighter jet B to increase its speed. This increase in speed is likely a result of the pursuit intensifying and fighter jet B trying to catch up to fighter jet A.

Explanation

When fighter jet B returns fire after fighter jet A opens fire, the adrenaline and urgency of the situation may cause fighter jet B to increase its speed. This increase in speed is likely a result of the pursuit intensifying and fighter jet B trying to catch up to fighter jet A.

121) If the displacement of a particle executing SHM is given by $y(t)=\, 0.30\, sin(220t+0.64)$ in meters, then the frequency and maximum velocity of the particle are:

35 Hz , 66 m/s

45 Hz , 66 m/s

58 Hz , 132 m/s

35 Hz , 132 m/s

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Explanation

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122) If DC motor is overloaded as a result it allows to draw

Less current but increases the back emf

Less current and decreases the back emf

High current but decreases the back emf

High current and increases the back emf

When a DC motor is overloaded, it experiences a higher current flow due to the increased load. However, this excessive current causes an increase in the armature reaction, which in turn weakens the magnetic field produced by the armature. As a result, the back electromotive force (emf) generated by the motor decreases. Therefore, the correct answer is "high current but decreases the back emf."

Explanation

When a DC motor is overloaded, it experiences a higher current flow due to the increased load. However, this excessive current causes an increase in the armature reaction, which in turn weakens the magnetic field produced by the armature. As a result, the back electromotive force (emf) generated by the motor decreases. Therefore, the correct answer is "high current but decreases the back emf."

123) A magnet drops down a long vertical copper tube. As it falls down the tube its velocity

Increases

Decreases

Remains constant

First increase then decreases

As the magnet falls down the copper tube, its velocity remains constant. This is because copper is a non-magnetic material, so it does not affect the magnet's motion. The force of gravity acting on the magnet is the only force acting on it, causing it to accelerate downwards at a constant rate. Therefore, the velocity of the magnet does not change as it falls down the tube.

Explanation

As the magnet falls down the copper tube, its velocity remains constant. This is because copper is a non-magnetic material, so it does not affect the magnet's motion. The force of gravity acting on the magnet is the only force acting on it, causing it to accelerate downwards at a constant rate. Therefore, the velocity of the magnet does not change as it falls down the tube.

124) Which of following ester has the smell of Raspberry ?

Octyl accetate

Isobutyl formate

Benzylaccetate

Ethyl butyrate

Isobutyl formate is the ester that has the smell of Raspberry.

Explanation

Isobutyl formate is the ester that has the smell of Raspberry.

125) Analogy Fugitive : Fee

Parasite : Foster

Braggart : Boast

Sage: Stifle

Bystander: Procure

The analogy in the given question is based on the relationship between two words. A fugitive is someone who is running away or escaping, and a fee is the payment or charge for a service. Similarly, a braggart is someone who boasts or brags excessively. Therefore, the correct answer is "Braggart : Boast" because both words represent someone who engages in a particular action excessively.

Explanation

The analogy in the given question is based on the relationship between two words. A fugitive is someone who is running away or escaping, and a fee is the payment or charge for a service. Similarly, a braggart is someone who boasts or brags excessively. Therefore, the correct answer is "Braggart : Boast" because both words represent someone who engages in a particular action excessively.

126) Which of the following is the closest meaning of "DOLOROUS"?

Lugubrious

Jocund

Mirthful

Blithe

The word "dolorous" refers to something that is sorrowful or mournful. The closest meaning to this is "lugubrious," which also means extremely sad or mournful. "Jocund" means cheerful, "mirthful" means joyful, and "blithe" means carefree, so they are not the closest meanings to "dolorous."

Explanation

The word "dolorous" refers to something that is sorrowful or mournful. The closest meaning to this is "lugubrious," which also means extremely sad or mournful. "Jocund" means cheerful, "mirthful" means joyful, and "blithe" means carefree, so they are not the closest meanings to "dolorous."

127) .

-2

3

2

None of these

The correct answer is 2 because it is the only positive number among the given options. The other numbers (-2 and 3) are negative and positive respectively, but 2 is the only positive number, making it the correct answer.

Explanation

The correct answer is 2 because it is the only positive number among the given options. The other numbers (-2 and 3) are negative and positive respectively, but 2 is the only positive number, making it the correct answer.

128) In pure capacitive circuit, AC passes through the capacitor. Which of the following statement is true?

Vector length of potential is less than that of current

Vector length of potential is greater than that of current

Vector length of potential and current are equal

Vector length of potential and current depend on the angular frequency

In a pure capacitive circuit, the voltage across the capacitor leads the current flowing through it by 90 degrees. This means that the vector length of the potential (voltage) is greater than that of the current. This is because the potential difference across the capacitor is determined by the integral of the current over time, and it takes time for the current to build up and reach its maximum value. Therefore, the potential (voltage) has a larger magnitude than the current.

Explanation

In a pure capacitive circuit, the voltage across the capacitor leads the current flowing through it by 90 degrees. This means that the vector length of the potential (voltage) is greater than that of the current. This is because the potential difference across the capacitor is determined by the integral of the current over time, and it takes time for the current to build up and reach its maximum value. Therefore, the potential (voltage) has a larger magnitude than the current.

129) RLC components are connected in series to a source of alternating voltage, which of the following statement will be true?

The impedance and current are minimum of the circuit at resonance frequency

The impedance of circuit is maximum but the current is minimum at resonance frequency

The impedance and current are maximum of the circuit at resonance frequency

Magnitude of impedance and current depend upon the source voltage applied to circuit

At resonance frequency, the impedance of the circuit is maximum because the reactive components cancel each other out. This means that the circuit offers maximum opposition to the flow of current. On the other hand, the current is minimum because the impedance is at its maximum, limiting the flow of current through the circuit.

Explanation

At resonance frequency, the impedance of the circuit is maximum because the reactive components cancel each other out. This means that the circuit offers maximum opposition to the flow of current. On the other hand, the current is minimum because the impedance is at its maximum, limiting the flow of current through the circuit.

130) A girl leaves from her home. She first walks 30 meters in North–west direction and then 30 meters in South–west direction. Next, she walks 30 meters in South-east direction. Finally, she turns towards her house. In which direction is she moving?

North–East

North–West

South East

South - West

The girl initially walks in a North-west direction for 30 meters, then changes direction and walks in a South-west direction for 30 meters. After that, she walks in a South-east direction for 30 meters. Finally, she turns towards her house, which means she is moving in the opposite direction of her initial movement. Since she initially moved in a North-west direction, the opposite direction would be South-east. Therefore, the girl is moving in the North-East direction.

Explanation

The girl initially walks in a North-west direction for 30 meters, then changes direction and walks in a South-west direction for 30 meters. After that, she walks in a South-east direction for 30 meters. Finally, she turns towards her house, which means she is moving in the opposite direction of her initial movement. Since she initially moved in a North-west direction, the opposite direction would be South-east. Therefore, the girl is moving in the North-East direction.

131) Each member of a sport club plays at least of soccer, rugby or tennis. The following information is known: 43 members play tennis, 11 play tennis and soccer, 6 play soccer and rugby, 84 play rugby or tennis, 68 play soccer or rugby and 4 play all three sports. How many members are there in sports club?.

216

89

97

120

Let's solve this problem using a Venn diagram. Let's represent the three sports as circles: tennis, soccer, and rugby. We know that 43 members play tennis, so we write 43 in the tennis circle. We also know that 11 members play both tennis and soccer, so we write 11 in the intersection between the tennis and soccer circles. Similarly, we know that 6 members play soccer and rugby, so we write 6 in the intersection between the soccer and rugby circles. We also know that 84 members play rugby or tennis, so we write 84 in the union of the rugby and tennis circles. Finally, we know that 4 members play all three sports, so we subtract 4 from the sum of the numbers in the circles. Adding up the numbers in the circles, we get 43 + 11 + 6 + 84 - 4 = 140. Therefore, there are 140 members in the sports club. However, the question asks for the number of members in the sports club, not the total number of members who play at least one sport. Since we know that there are 68 members who play soccer or rugby, we subtract this number from the total to get the number of members who play tennis. Therefore, the number of members who play tennis is 140 - 68 = 72. Finally, we add up the numbers in the circles to get the total number of members in the sports club, which is 72 + 68 = 140. Therefore, the correct answer is 97.

Explanation

Let's solve this problem using a Venn diagram. Let's represent the three sports as circles: tennis, soccer, and rugby. We know that 43 members play tennis, so we write 43 in the tennis circle. We also know that 11 members play both tennis and soccer, so we write 11 in the intersection between the tennis and soccer circles. Similarly, we know that 6 members play soccer and rugby, so we write 6 in the intersection between the soccer and rugby circles. We also know that 84 members play rugby or tennis, so we write 84 in the union of the rugby and tennis circles. Finally, we know that 4 members play all three sports, so we subtract 4 from the sum of the numbers in the circles. Adding up the numbers in the circles, we get 43 + 11 + 6 + 84 - 4 = 140. Therefore, there are 140 members in the sports club. However, the question asks for the number of members in the sports club, not the total number of members who play at least one sport. Since we know that there are 68 members who play soccer or rugby, we subtract this number from the total to get the number of members who play tennis. Therefore, the number of members who play tennis is 140 - 68 = 72. Finally, we add up the numbers in the circles to get the total number of members in the sports club, which is 72 + 68 = 140. Therefore, the correct answer is 97.

132) The domain of the function $f(x)=\sqrt {\frac {(x-2)(x+5)} {x-4}}$ is:

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Explanation

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133) What is the angle that given vector A makes with y-axis $A=2i+\sqrt {12}j$ ?

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Explanation

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134) When a fog droplet falls through air, the net force acting on the droplet becomes

Maximum

Zero

9.8 newtons

Equal to drag force

When a fog droplet falls through air, the net force acting on the droplet becomes zero. This is because the droplet reaches a terminal velocity, where the gravitational force pulling it downwards is balanced by the upward drag force exerted by the air. At this point, the droplet stops accelerating and falls at a constant velocity, resulting in a net force of zero.

Explanation

When a fog droplet falls through air, the net force acting on the droplet becomes zero. This is because the droplet reaches a terminal velocity, where the gravitational force pulling it downwards is balanced by the upward drag force exerted by the air. At this point, the droplet stops accelerating and falls at a constant velocity, resulting in a net force of zero.

135) The system: $x+4y+\lambda z=2$ $2x+y-2z=11$ $3x+2y-2z=16$ has infinitely many solutions if

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Explanation

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136) Equation in which roots are double the roots of ${x}^{2}+3x+2=0$ is:

None of these

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Explanation

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137) In partial fraction resolution $\frac {2x+p} {(x-1)(x+2)(x+3)}=\frac {1} {4(x-1)}+\frac {q} {x+2}+\frac {5} {4(x+3)}$ then:

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Explanation

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138) ${sec}^{2}mA+{cosec}^{2}mA={sec}^{2}mA{cosec}^{2}mA,\, where\, \forall n\in N$

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Explanation

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139) If a body A is charged with charge q and is touched with a neutral body B and then neutral body C. then what will be charge on body C after contact?

When body A, which has a charge q, is touched with a neutral body B, some of the charge from body A will transfer to body B, leaving body A with a reduced charge. Then, when body B is touched with neutral body C, some of the charge from body B will transfer to body C. Therefore, the charge on body C after contact will depend on the amount of charge transferred from body A to body B and from body B to body C. The exact charge on body C cannot be determined without knowing the specific charges and the amount of charge transferred in each step.

Explanation

When body A, which has a charge q, is touched with a neutral body B, some of the charge from body A will transfer to body B, leaving body A with a reduced charge. Then, when body B is touched with neutral body C, some of the charge from body B will transfer to body C. Therefore, the charge on body C after contact will depend on the amount of charge transferred from body A to body B and from body B to body C. The exact charge on body C cannot be determined without knowing the specific charges and the amount of charge transferred in each step.

140) The %age w/w of NaCl , when 2.0 gm of NaCl is dissolved in 20 g of water

10%

9.09%

10.5%

10.09%

To find the weight by weight percentage of NaCl in the solution, we divide the weight of NaCl by the total weight of the solution and multiply by 100. In this case, the weight of NaCl is 2.0 g and the total weight of the solution is 20 g (2.0 g NaCl + 20 g water). Dividing 2.0 g by 20 g and multiplying by 100 gives us 10%. Therefore, the correct answer is 10%.

Explanation

To find the weight by weight percentage of NaCl in the solution, we divide the weight of NaCl by the total weight of the solution and multiply by 100. In this case, the weight of NaCl is 2.0 g and the total weight of the solution is 20 g (2.0 g NaCl + 20 g water). Dividing 2.0 g by 20 g and multiplying by 100 gives us 10%. Therefore, the correct answer is 10%.

141) Which one of the following statements does represent the Venn Diagram given below:

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Explanation

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142) The term independent of x in ${{(x}^{2}-\frac {1} {x})}^{9}$ is:

49

-1

84

None of these

The term independent of x in the given expression is 49. This means that no matter what value x takes, the term 49 will remain the same. The other options (-1, 84, and None of these) are not independent of x as they either have x in them or do not have a fixed value.

Explanation

The term independent of x in the given expression is 49. This means that no matter what value x takes, the term 49 will remain the same. The other options (-1, 84, and None of these) are not independent of x as they either have x in them or do not have a fixed value.

143) Let f(x) is differentiable function such that $f(x+y)=f(x)+f(y),\forall x,y\in R$ and $f(2)=5$ then $f'(0)=$

5

3.5

2.5

None of these

The correct answer is 2.5. This can be determined by taking the derivative of the given function f(x) and evaluating it at x = 1. By using the power rule of differentiation, the derivative of x^2 is 2x. Evaluating this at x = 1 gives us a derivative of 2. Therefore, the answer is 2.5.

Explanation

The correct answer is 2.5. This can be determined by taking the derivative of the given function f(x) and evaluating it at x = 1. By using the power rule of differentiation, the derivative of x^2 is 2x. Evaluating this at x = 1 gives us a derivative of 2. Therefore, the answer is 2.5.

144) Which of the following plastic is a thermosetting plastic?

PVC

Polystyrene

Polyethylene

Bakellite

Bakelite is a thermosetting plastic because it undergoes a chemical reaction during its formation that permanently sets its shape and structure. Once it is molded and cooled, it cannot be melted or reshaped again. This property makes Bakelite ideal for applications that require heat resistance and durability, such as electrical insulators and automotive parts.

Explanation

Bakelite is a thermosetting plastic because it undergoes a chemical reaction during its formation that permanently sets its shape and structure. Once it is molded and cooled, it cannot be melted or reshaped again. This property makes Bakelite ideal for applications that require heat resistance and durability, such as electrical insulators and automotive parts.

145) Reading Comprehension: Direction to solve: Laws of nature are not commands but statements of acts. The use of the word "law" in this context is rather unfortunate. It would be better to speak of uniformities in nature. This would do away with the elementary fallacy that a law implies a law giver. If a piece of matter does not obey a law of nature it is punished. On the contrary, we say that the law has been incorrectly started. The laws of nature based on observation are:

Conclusion about the nature of the universe

True and unfalsifiable.

Figments of the observer imagination.

Subject to change in the light of new facts

The correct answer is "subject to change in the light of new facts." This is because the passage states that the use of the word "law" in the context of laws of nature is unfortunate and it would be better to speak of uniformities in nature. This suggests that the laws of nature are not fixed and can be subject to change based on new facts or observations.

Explanation

The correct answer is "subject to change in the light of new facts." This is because the passage states that the use of the word "law" in the context of laws of nature is unfortunate and it would be better to speak of uniformities in nature. This suggests that the laws of nature are not fixed and can be subject to change based on new facts or observations.

146) Ali wants to go to the university. He starts from his home which is in the East and comes to a crossing. The road to the left ends in a theater, straight ahead is the hospital. In which direction is the university?

East

West

North

South

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Explanation

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147) Which of the following has the numerical greatest value?

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Explanation

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148) A body starts SHM and move from $x=0\, to\, x=\frac {{x}_{o}} {2}$ in ${t}_{1}$ and then move further from $x=\frac {{x}_{o}} {2}\, to\, {x}_{o}$ then:

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Explanation

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149) Number of electrons pass through an electric bulb in one minute if the 300 mA current is passing through it, is:

The number of electrons passing through an electric bulb can be calculated using the formula:

Number of electrons = (Current * time) / (Charge of an electron)

Given that the current passing through the bulb is 300 mA, we need to convert it to Amperes by dividing it by 1000. Assuming the time is one minute, we can substitute these values into the formula to calculate the number of electrons passing through the bulb in one minute.

Explanation

The number of electrons passing through an electric bulb can be calculated using the formula:

Number of electrons = (Current * time) / (Charge of an electron)

Given that the current passing through the bulb is 300 mA, we need to convert it to Amperes by dividing it by 1000. Assuming the time is one minute, we can substitute these values into the formula to calculate the number of electrons passing through the bulb in one minute.

150) For decolorizing vat dyes, we use

Formaldehyde

Acetaldehyde

Crotonaldehyde

Benzaldehyde

Formaldehyde is used for decolorizing vat dyes. It is a strong reducing agent that helps in removing the color from the dyes. Other aldehydes like acetaldehyde, crotonaldehyde, and benzaldehyde do not have the same decolorizing properties as formaldehyde. Therefore, formaldehyde is the correct choice for this purpose.

Explanation

Formaldehyde is used for decolorizing vat dyes. It is a strong reducing agent that helps in removing the color from the dyes. Other aldehydes like acetaldehyde, crotonaldehyde, and benzaldehyde do not have the same decolorizing properties as formaldehyde. Therefore, formaldehyde is the correct choice for this purpose.

151) Which is the opposite meaning of the word "CANDID" ?

Ingenuous

Guileful

Evasive

Contentious

The opposite meaning of the word "CANDID" is "Ingenuous." "Candid" means being open, honest, and sincere, while "Ingenuous" means being deceitful, cunning, or sly. Therefore, "Ingenuous" is the opposite of "Candid."

Explanation

The opposite meaning of the word "CANDID" is "Ingenuous." "Candid" means being open, honest, and sincere, while "Ingenuous" means being deceitful, cunning, or sly. Therefore, "Ingenuous" is the opposite of "Candid."

152) Which of the following is the closest meaning of "FELICITY"?

Anguish

Rapture

Agony

Affliction

Rapture is the closest meaning of "FELICITY" because it refers to a feeling of intense joy, happiness, or ecstasy. Felicity also represents a state of bliss or delight, which aligns with the concept of rapture. Anguish, agony, and affliction, on the other hand, all denote feelings of pain, suffering, or distress, which are opposite in meaning to felicity.

Explanation

Rapture is the closest meaning of "FELICITY" because it refers to a feeling of intense joy, happiness, or ecstasy. Felicity also represents a state of bliss or delight, which aligns with the concept of rapture. Anguish, agony, and affliction, on the other hand, all denote feelings of pain, suffering, or distress, which are opposite in meaning to felicity.

153) Which of the following is the closest meaning of "MALICIOUS"?

Benevolent

Rancorous

Compassionate

Altruistic

The word "malicious" refers to having or showing a desire to harm someone or something. The closest meaning to this is "rancorous," which means bitter and resentful.

Explanation

The word "malicious" refers to having or showing a desire to harm someone or something. The closest meaning to this is "rancorous," which means bitter and resentful.

154) A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated around a round table so that no two of the civil engineers will sit together?

The total number of engineers is 16. We can fix one software engineer at the starting point of the table. Then, there are 9 software engineers and 6 civil engineers left to be seated. The civil engineers must be placed in between the software engineers to ensure that no two civil engineers sit together. The 9 software engineers can be arranged in (9-1)! = 8! ways. The 6 civil engineers can be arranged in 6! ways. Therefore, the total number of ways they can be seated is 8! * 6!.

Explanation

The total number of engineers is 16. We can fix one software engineer at the starting point of the table. Then, there are 9 software engineers and 6 civil engineers left to be seated. The civil engineers must be placed in between the software engineers to ensure that no two civil engineers sit together. The 9 software engineers can be arranged in (9-1)! = 8! ways. The 6 civil engineers can be arranged in 6! ways. Therefore, the total number of ways they can be seated is 8! * 6!.

155) Which of the following trigonometric function has the graph given below

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Explanation

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156) What is the area of shaded region 'A' and 'B' are mid points of the sides whose length is 10 cm. (Both triangles are equilateral)?

The area of the shaded region can be found by subtracting the area of triangle A from the area of triangle B. Since both triangles are equilateral, the area of each triangle can be calculated using the formula (sqrt(3)/4) * side^2, where side is the length of the triangle's side. Therefore, the area of triangle A is (sqrt(3)/4) * 10^2 = 25sqrt(3) cm^2, and the area of triangle B is also 25sqrt(3) cm^2. Subtracting these two areas gives us 0 cm^2 for the shaded region.

Explanation

The area of the shaded region can be found by subtracting the area of triangle A from the area of triangle B. Since both triangles are equilateral, the area of each triangle can be calculated using the formula (sqrt(3)/4) * side^2, where side is the length of the triangle's side. Therefore, the area of triangle A is (sqrt(3)/4) * 10^2 = 25sqrt(3) cm^2, and the area of triangle B is also 25sqrt(3) cm^2. Subtracting these two areas gives us 0 cm^2 for the shaded region.

157) If a ball in a bowl from its extreme position leaves to start oscillating with SHM (Simple harmonic motion). Which of the following statements is/are valid?

Ball is in stable equilibrium at extreme position

Ball is in stable equilibrium at mean position

Acceleration of ball is always in the direction opposite to force applied

Both A & C

The correct answer is "ball is in stable equilibrium at mean position." In simple harmonic motion, the mean position is the equilibrium position where the net force on the ball is zero. At this position, the ball is at rest and will remain in this position unless acted upon by an external force. The ball is not in stable equilibrium at the extreme position because there is a net force acting on it, causing it to move back towards the mean position. The acceleration of the ball is always in the direction opposite to the force applied, which is true for objects undergoing simple harmonic motion. Therefore, the statement "Both A & C" is not valid.

Explanation

The correct answer is "ball is in stable equilibrium at mean position." In simple harmonic motion, the mean position is the equilibrium position where the net force on the ball is zero. At this position, the ball is at rest and will remain in this position unless acted upon by an external force. The ball is not in stable equilibrium at the extreme position because there is a net force acting on it, causing it to move back towards the mean position. The acceleration of the ball is always in the direction opposite to the force applied, which is true for objects undergoing simple harmonic motion. Therefore, the statement "Both A & C" is not valid.

158) In a suspension bridge, there is a stretch in the ropes by the load of the bridge. Which of the following moduli involves in it?

Young's modulus only

Young's modulus and Bulk modulus

Bulk modulus only

Modulus of rigidity

In a suspension bridge, the stretch in the ropes is caused by the load of the bridge. This stretch can be explained by Young's modulus, which measures the elasticity of a material when subjected to tensile or compressive forces. Young's modulus determines how much a material will stretch or compress under a given load. Therefore, in the case of a suspension bridge, Young's modulus is the only modulus involved in the stretch of the ropes.

Explanation

In a suspension bridge, the stretch in the ropes is caused by the load of the bridge. This stretch can be explained by Young's modulus, which measures the elasticity of a material when subjected to tensile or compressive forces. Young's modulus determines how much a material will stretch or compress under a given load. Therefore, in the case of a suspension bridge, Young's modulus is the only modulus involved in the stretch of the ropes.

159) The equation of the pair of straight lines passing through the origin and perpendicular to the pair of lines represented by ${ax}^{2}+2hxy+b{y}^{2}=0$ is given by:

The given equation represents a pair of straight lines. To find the equation of lines that are perpendicular to this pair and pass through the origin, we need to find the slope of the given lines. The slope of a line perpendicular to a given line is the negative reciprocal of its slope. By finding the slope of the given lines and taking its negative reciprocal, we can determine the slope of the perpendicular lines. Since the lines pass through the origin, their equation can be written in the form y = mx, where m is the slope. Therefore, the equation of the pair of straight lines passing through the origin and perpendicular to the given lines is y = -1/mx.

Explanation

The given equation represents a pair of straight lines. To find the equation of lines that are perpendicular to this pair and pass through the origin, we need to find the slope of the given lines. The slope of a line perpendicular to a given line is the negative reciprocal of its slope. By finding the slope of the given lines and taking its negative reciprocal, we can determine the slope of the perpendicular lines. Since the lines pass through the origin, their equation can be written in the form y = mx, where m is the slope. Therefore, the equation of the pair of straight lines passing through the origin and perpendicular to the given lines is y = -1/mx.

160) A balloon of mass 10 kg is raising up with an acceleration of $20\, m{s}^{-2}$ . If the mass of 4 kg is removed from the balloon, its acceleration becomes

When a mass of 4 kg is removed from the balloon, its total mass decreases from 10 kg to 6 kg. According to Newton's second law of motion, the acceleration of an object is inversely proportional to its mass. Therefore, when the mass of the balloon decreases, its acceleration increases. Hence, the acceleration of the balloon increases when 4 kg is removed from it.

Explanation

When a mass of 4 kg is removed from the balloon, its total mass decreases from 10 kg to 6 kg. According to Newton's second law of motion, the acceleration of an object is inversely proportional to its mass. Therefore, when the mass of the balloon decreases, its acceleration increases. Hence, the acceleration of the balloon increases when 4 kg is removed from it.

161) Choke is basically a

RLC series circuit

LR parallel circuit

LR series circuit

Inductive circuit

The correct answer is LR series circuit. In an LR series circuit, the components connected are an inductor (L) and a resistor (R) connected in series. In this circuit, the inductor opposes the change in current, causing a delay in the flow of current. This delay leads to a phase shift between the voltage and current waveforms. Hence, the LR series circuit is the most suitable explanation for the term "choke."

Explanation

The correct answer is LR series circuit. In an LR series circuit, the components connected are an inductor (L) and a resistor (R) connected in series. In this circuit, the inductor opposes the change in current, causing a delay in the flow of current. This delay leads to a phase shift between the voltage and current waveforms. Hence, the LR series circuit is the most suitable explanation for the term "choke."

162) Period of $f(x)=sin(3x+2)+cos(\frac {x} {5}+4)$ is:

None of these

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Explanation

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163) The antonym of "INDIGENOUS" is:

Native

Primordial

Aboriginal

Expatriate

The antonym of "INDIGENOUS" is "Expatriate" because indigenous refers to something or someone that is native to a particular place or region, while an expatriate is someone who has chosen to live outside their native country. Therefore, these two words represent opposite concepts.

Explanation

The antonym of "INDIGENOUS" is "Expatriate" because indigenous refers to something or someone that is native to a particular place or region, while an expatriate is someone who has chosen to live outside their native country. Therefore, these two words represent opposite concepts.

164) Let z be a complex number, if $\theta ={60}^{\circ }$ and $n=\frac {3} {2}$ , then z=

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Explanation

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165) Which one do you like?

10

7

12

None of these

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Explanation

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166) Which of the following Muslim scientists did contribute in field of Trigonometry?

Muhammad Ibn Musa Al-Khwarizmi

Muhammad Ibn Jabir Al-Battani

Abu Yusuf Yaqub Ibn Ishaq Al-Kindi,

None of these

Muhammad Ibn Jabir Al-Battani contributed to the field of Trigonometry. He was a Muslim scientist who made significant advancements in the study of mathematics and astronomy during the 9th century. Al-Battani's work included developing accurate trigonometric tables and formulas, which were used for calculating the positions of celestial bodies. His contributions were influential in the development of trigonometry as a mathematical discipline.

Explanation

Muhammad Ibn Jabir Al-Battani contributed to the field of Trigonometry. He was a Muslim scientist who made significant advancements in the study of mathematics and astronomy during the 9th century. Al-Battani's work included developing accurate trigonometric tables and formulas, which were used for calculating the positions of celestial bodies. His contributions were influential in the development of trigonometry as a mathematical discipline.

167) The notation $f'(x)$ for differentiation of a function was introduced by:

Leibniz

Lagrange

Newton

Cauchy

The notation for differentiation of a function was introduced by Lagrange.

Explanation

The notation for differentiation of a function was introduced by Lagrange.

168) A gale (i.e. very strong wind) blows over a house. The force due to the gale on the roof is:

In the downward direction

In the upward direction

Zero

Horizontal

The force due to the gale on the roof is in the upward direction because the gale is blowing over the house. The wind exerts a pressure on the roof, creating a force that pushes against the roof in an upward direction. This force is responsible for counteracting the downward force of gravity, preventing the roof from being blown off.

Explanation

The force due to the gale on the roof is in the upward direction because the gale is blowing over the house. The wind exerts a pressure on the roof, creating a force that pushes against the roof in an upward direction. This force is responsible for counteracting the downward force of gravity, preventing the roof from being blown off.

169) Which of the following order of escape velocity $v$ of the planets is correct?

The order of escape velocity of the planets is determined by their mass and radius. The escape velocity is the minimum velocity required for an object to escape the gravitational pull of a planet. As the mass and radius of a planet increase, the escape velocity also increases. Therefore, the correct order of escape velocity of the planets from highest to lowest is Jupiter, Earth, Mars, Moon.

Explanation

The order of escape velocity of the planets is determined by their mass and radius. The escape velocity is the minimum velocity required for an object to escape the gravitational pull of a planet. As the mass and radius of a planet increase, the escape velocity also increases. Therefore, the correct order of escape velocity of the planets from highest to lowest is Jupiter, Earth, Mars, Moon.

170) Which one of the following is meta directing in nature?

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Explanation

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171) Which of following scientist did prove the wave nature of light firstly?

Huygen

Thomas Young

Louis de-Broglie

Clinton J. Davisson and Laster H. Germer

Thomas Young is credited with providing the first experimental evidence for the wave nature of light. In his famous double-slit experiment, Young demonstrated that light can exhibit interference patterns, similar to waves. This experiment was crucial in establishing the wave theory of light and laid the foundation for the understanding of light as both a particle and a wave.

Explanation

Thomas Young is credited with providing the first experimental evidence for the wave nature of light. In his famous double-slit experiment, Young demonstrated that light can exhibit interference patterns, similar to waves. This experiment was crucial in establishing the wave theory of light and laid the foundation for the understanding of light as both a particle and a wave.

172) Select the closest meaning of "Voracious" from given options

Ravenous

Voluble

Violent

Rambunctious

The word "voracious" means having a very eager or insatiable appetite, especially for food. "Ravenous" is the closest synonym to "voracious" as it also means extremely hungry or having a great desire for food. Therefore, "ravenous" is the correct answer.

Explanation

The word "voracious" means having a very eager or insatiable appetite, especially for food. "Ravenous" is the closest synonym to "voracious" as it also means extremely hungry or having a great desire for food. Therefore, "ravenous" is the correct answer.

173) Set of residue classes modulo 4 is an abelian group w.r.t '+', then inverse of 3 is:

-3

3

1

0

The inverse of an element in a group is the element that, when combined with the original element using the group operation, gives the identity element. In this case, the group operation is addition modulo 4. We need to find the element that, when added to 3 modulo 4, gives the identity element, which is 0. Adding 3 and 1 modulo 4 gives 0, so the inverse of 3 is 1.

Explanation

The inverse of an element in a group is the element that, when combined with the original element using the group operation, gives the identity element. In this case, the group operation is addition modulo 4. We need to find the element that, when added to 3 modulo 4, gives the identity element, which is 0. Adding 3 and 1 modulo 4 gives 0, so the inverse of 3 is 1.

174) If orders of matrix B and C are $3\times 2$ and BA=C, then the order of matrix A is:

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Explanation

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175) If the line joining A(7,3) and B(k,6) is parallel to line joining C(-4,5) and D(-6,4) then the value of 'k' is:

11

-11

7

5

If the line joining A(7,3) and B(k,6) is parallel to the line joining C(-4,5) and D(-6,4), it means that the slopes of these two lines are equal. The slope of the line passing through A(7,3) and B(k,6) can be calculated using the formula (y2 - y1) / (x2 - x1). The slope of the line passing through C(-4,5) and D(-6,4) is also calculated in the same way. By equating these two slopes, we can solve for k. In this case, the value of k turns out to be -11.

Explanation

If the line joining A(7,3) and B(k,6) is parallel to the line joining C(-4,5) and D(-6,4), it means that the slopes of these two lines are equal. The slope of the line passing through A(7,3) and B(k,6) can be calculated using the formula (y2 - y1) / (x2 - x1). The slope of the line passing through C(-4,5) and D(-6,4) is also calculated in the same way. By equating these two slopes, we can solve for k. In this case, the value of k turns out to be -11.

176) Dielectric which is introduced between the parallel plate capacitor are in nature.

Polar

Non polar

Both Polar and non polar

Neither polar nor non-polar

The dielectric introduced between the parallel plate capacitor can be either polar or non-polar depending on the material used. Some dielectric materials, like water or certain types of plastics, have polar molecules which means they have a positive and negative end. Other dielectric materials, like glass or ceramics, have non-polar molecules which means they have a neutral charge distribution. Therefore, the dielectric can be both polar and non-polar depending on the material used.

Explanation

The dielectric introduced between the parallel plate capacitor can be either polar or non-polar depending on the material used. Some dielectric materials, like water or certain types of plastics, have polar molecules which means they have a positive and negative end. Other dielectric materials, like glass or ceramics, have non-polar molecules which means they have a neutral charge distribution. Therefore, the dielectric can be both polar and non-polar depending on the material used.

177) Analogy Soot:Grimy

Frost:Transparent

Sunshine:Fruitless

Rain:Sodden

Pall:Gaudy

The analogy in the given options is that each pair consists of a word and its corresponding adjective that describes it. Soot is often associated with being grimy, frost is often associated with being transparent, sunshine is often associated with being fruitless, and pall is often associated with being gaudy. Similarly, rain is often associated with being sodden, meaning it is soaked or saturated with water.

Explanation

The analogy in the given options is that each pair consists of a word and its corresponding adjective that describes it. Soot is often associated with being grimy, frost is often associated with being transparent, sunshine is often associated with being fruitless, and pall is often associated with being gaudy. Similarly, rain is often associated with being sodden, meaning it is soaked or saturated with water.

178) Reading Comprehension: Direction to solve: I felt the wall of the tunnel shiver. The master alarm squealed through my earphones. Almost simultaneously, Jack yelled down to me that there was a warning light on. Fleeting but spectacular sights snapped into ans out of view, the snow, the shower of debris, the moon, looming close and big, the dazzling sunshine for once unfiltered by layers of air. The last twelve hours before re-entry were particular bone-chilling. During this period, I had to go up in to command module. Even after the fiery re-entry splashing down in 81º water in south pacific, we could still see our frosty breath inside the command module. The word 'Command Module' used twice in the given passage indicates perhaps that it deals with

An alarming journey

A commanding situation

A journey into outer space

A frightful battle.

The word "Command Module" is mentioned twice in the passage, indicating that it is a significant element in the context. The passage talks about the speaker's experience in a tunnel, the master alarm sounding, and a warning light. It also mentions sights such as snow, debris, the moon, and sunshine. These details suggest that the passage is describing a journey into outer space, where the speaker is in a command module and experiences various events and conditions related to space travel.

Explanation

The word "Command Module" is mentioned twice in the passage, indicating that it is a significant element in the context. The passage talks about the speaker's experience in a tunnel, the master alarm sounding, and a warning light. It also mentions sights such as snow, debris, the moon, and sunshine. These details suggest that the passage is describing a journey into outer space, where the speaker is in a command module and experiences various events and conditions related to space travel.

179) $\sum ^{22}_{i=3} {i}=$

210

253

250

230

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Explanation

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180) According to a military code, SYSTEM is SYSMET and NEARER is AENRER. What is the code for FRACTION?

CARFNOIT

CARFTION

FRACNOIT

CARFNOIT

The code for FRACTION is CARFNOIT. In the given military code, each letter in the original word is reversed and then the entire word is reversed. Applying this pattern to FRACTION, we reverse each letter to get NOITCARF and then reverse the entire word to get CARFNOIT.

Explanation

The code for FRACTION is CARFNOIT. In the given military code, each letter in the original word is reversed and then the entire word is reversed. Applying this pattern to FRACTION, we reverse each letter to get NOITCARF and then reverse the entire word to get CARFNOIT.

181) If A is to the south of B and C is to the east of B, in what direction is A with respect to C

North east

North west

South east

South west

A is to the south of B and C is to the east of B. Therefore, A is located in the south direction from B, and C is located in the east direction from B. Combining these directions, we can conclude that A is in the south-west direction with respect to C.

Explanation

A is to the south of B and C is to the east of B. Therefore, A is located in the south direction from B, and C is located in the east direction from B. Combining these directions, we can conclude that A is in the south-west direction with respect to C.

182) If a set A contains 10 entries then no.of distinct functions from A to A is:

The number of distinct functions from set A to set A can be calculated using the formula n^m, where n is the number of elements in set A and m is also the number of elements in set A. In this case, since set A contains 10 entries, the number of distinct functions from A to A would be 10^10.

Explanation

The number of distinct functions from set A to set A can be calculated using the formula n^m, where n is the number of elements in set A and m is also the number of elements in set A. In this case, since set A contains 10 entries, the number of distinct functions from A to A would be 10^10.

183) If a circle is inscribed in an equilateral triangle with radius r and a circle which is circumscribe to same equilateral triangle with radius R then the ratio of areas of circumscribed to inscribe circle is:

The ratio of the areas of the circumscribed circle to the inscribed circle can be found by taking the ratio of their radii squared. In this case, the radius of the inscribed circle is r, so its area is πr^2. The radius of the circumscribed circle is R, so its area is πR^2. Therefore, the ratio of the areas is (πR^2)/(πr^2), which simplifies to R^2/r^2.

Explanation

The ratio of the areas of the circumscribed circle to the inscribed circle can be found by taking the ratio of their radii squared. In this case, the radius of the inscribed circle is r, so its area is πr^2. The radius of the circumscribed circle is R, so its area is πR^2. Therefore, the ratio of the areas is (πR^2)/(πr^2), which simplifies to R^2/r^2.

184) ${sec}^{-1}(\frac {1} {2})+{cosec}^{-1}(\frac {1} {2})$ is equal to:

None of these

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Explanation

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185) The area bounded by the x-axis and the curve $y=4x-{x}^{2}$ is:

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Explanation

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186) A particle executing SHM, time to reach half of its amplitude is 1 sec. The time period of particle executing simple harmonic motion will be:

6 sec

8 sec

12 sec

3 sec

The time to reach half of the amplitude in simple harmonic motion is equal to one-fourth of the time period. Therefore, if it takes 1 second to reach half of the amplitude, the time period must be 4 times that, which is 4 seconds. Therefore, none of the given options are correct.

Explanation

The time to reach half of the amplitude in simple harmonic motion is equal to one-fourth of the time period. Therefore, if it takes 1 second to reach half of the amplitude, the time period must be 4 times that, which is 4 seconds. Therefore, none of the given options are correct.

187) Select the correct sentence

Three parts of the business are left for me to do

Three parts of the business have left for me to do

Three parts of business is left for me to do

Three parts of business be left for me to do

The correct sentence is "Three parts of business is left for me to do." This sentence is grammatically correct because it uses the singular form "is" to agree with the singular subject "Three parts of business." Additionally, the phrase "left for me to do" is correctly used to indicate that the speaker still has three parts of the business to complete.

Explanation

The correct sentence is "Three parts of business is left for me to do." This sentence is grammatically correct because it uses the singular form "is" to agree with the singular subject "Three parts of business." Additionally, the phrase "left for me to do" is correctly used to indicate that the speaker still has three parts of the business to complete.

188) There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?

To calculate the probability, we need to find the total number of ways to select 3 students out of the total 25 students in the class. This can be calculated using combinations, denoted as 25C3.

Next, we need to find the number of ways to select 1 girl out of the 10 girls and 2 boys out of the 15 boys. This can be calculated as 10C1 * 15C2.

Finally, the probability is calculated by dividing the number of favorable outcomes (10C1 * 15C2) by the total number of possible outcomes (25C3).

Therefore, the probability of selecting 1 girl and 2 boys is (10C1 * 15C2) / (25C3).

Explanation

To calculate the probability, we need to find the total number of ways to select 3 students out of the total 25 students in the class. This can be calculated using combinations, denoted as 25C3.

Next, we need to find the number of ways to select 1 girl out of the 10 girls and 2 boys out of the 15 boys. This can be calculated as 10C1 * 15C2.

Finally, the probability is calculated by dividing the number of favorable outcomes (10C1 * 15C2) by the total number of possible outcomes (25C3).

Therefore, the probability of selecting 1 girl and 2 boys is (10C1 * 15C2) / (25C3).

189) When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by $5\, cm$ . By suspending 2.0 kg block to the spring and if the block is pulled through $10\, cm$ and released the maximum velocity in it in m/s is : (Acceleration due to gravity $10\, m{s}^{-2}$ )

0.5

1

2

4

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Explanation

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190) English Select the correct Sentence:

Either he or I is visiting the fair

Either he or I are visiting the fair

Either he or I has been visiting the fair

The correct sentence is "Either he or I has been visiting the fair." This is because when using "either...or" in a sentence, the verb should agree with the subject closest to it. In this case, the subject closest to the verb "has been visiting" is "I," so the correct verb form is "has been visiting."

Explanation

The correct sentence is "Either he or I has been visiting the fair." This is because when using "either...or" in a sentence, the verb should agree with the subject closest to it. In this case, the subject closest to the verb "has been visiting" is "I," so the correct verb form is "has been visiting."

191) If the matrix AB is a zero matrix, then

A=O or B=O

A=O and B=O

It is not necessary that either A=O or B=O or both are zero

All of these

If the matrix AB is a zero matrix, it means that all the elements in the matrix AB are zero. However, this does not imply that either matrix A or matrix B or both are zero matrices. It is possible that the product of non-zero matrices can result in a zero matrix. Therefore, it is not necessary that either A=O or B=O or both are zero matrices.

Explanation

If the matrix AB is a zero matrix, it means that all the elements in the matrix AB are zero. However, this does not imply that either matrix A or matrix B or both are zero matrices. It is possible that the product of non-zero matrices can result in a zero matrix. Therefore, it is not necessary that either A=O or B=O or both are zero matrices.

192) The distance of closest approach of an alpha particle fired at nucleus with momentum 'p' is 'd'. The distance of closest approach when the alpha particle is fired at same nucleus with momentum 3p will be:

The distance of closest approach when the alpha particle is fired at the same nucleus with momentum 3p will be smaller than d. This is because the momentum of the alpha particle is directly proportional to its velocity. As the momentum increases, the velocity of the alpha particle also increases. Therefore, the alpha particle will have a higher velocity when fired with 3p momentum compared to when fired with p momentum. As a result, it will have a shorter distance of closest approach, indicating a stronger repulsive force between the alpha particle and the nucleus.

Explanation

The distance of closest approach when the alpha particle is fired at the same nucleus with momentum 3p will be smaller than d. This is because the momentum of the alpha particle is directly proportional to its velocity. As the momentum increases, the velocity of the alpha particle also increases. Therefore, the alpha particle will have a higher velocity when fired with 3p momentum compared to when fired with p momentum. As a result, it will have a shorter distance of closest approach, indicating a stronger repulsive force between the alpha particle and the nucleus.

193) $Ca{Cl}_{2}\, and\, {P}_{2}{O}_{5}$ are used as:

Bleaching agents

Residue agent

Drying agents

Dehydrating agent

Drying agents are substances that are used to remove moisture or water from a material or environment. They are commonly used in various industries and applications where the presence of moisture can cause damage or affect the desired outcome. Drying agents typically have high affinity for water molecules and can absorb or adsorb them, effectively reducing the moisture content. This helps in preventing corrosion, preserving the quality of products, and facilitating certain chemical reactions that require dry conditions.

Explanation

Drying agents are substances that are used to remove moisture or water from a material or environment. They are commonly used in various industries and applications where the presence of moisture can cause damage or affect the desired outcome. Drying agents typically have high affinity for water molecules and can absorb or adsorb them, effectively reducing the moisture content. This helps in preventing corrosion, preserving the quality of products, and facilitating certain chemical reactions that require dry conditions.

194) Physics Epoch is the unit:

Length

Time

Luminous Intensity

Mass

Epoch is a unit used to measure time. In physics, time is a fundamental quantity that helps us understand the motion and behavior of objects. It allows us to measure the duration of events and compare the intervals between them. The concept of epoch is often used in fields such as astronomy and geology to mark specific points in time, such as the beginning of a particular era or the occurrence of a significant event. Therefore, it is accurate to say that epoch is a unit of time.

Explanation

Epoch is a unit used to measure time. In physics, time is a fundamental quantity that helps us understand the motion and behavior of objects. It allows us to measure the duration of events and compare the intervals between them. The concept of epoch is often used in fields such as astronomy and geology to mark specific points in time, such as the beginning of a particular era or the occurrence of a significant event. Therefore, it is accurate to say that epoch is a unit of time.

195) Tin becomes a super conductor at which of following temperature?

7.2 K

3.72 K

4.2 K

1.18 K

Tin becomes a superconductor at a temperature of 1.18 K. Superconductivity is a phenomenon in which certain materials exhibit zero electrical resistance when cooled below a critical temperature. In the case of tin, this critical temperature is 1.18 K, making it a superconductor at that temperature.

Explanation

Tin becomes a superconductor at a temperature of 1.18 K. Superconductivity is a phenomenon in which certain materials exhibit zero electrical resistance when cooled below a critical temperature. In the case of tin, this critical temperature is 1.18 K, making it a superconductor at that temperature.

196) Which of the following acid has the greatest value of pH?

Vinegar

Gastric Juice

Lemon

Milk

Milk has the greatest value of pH among the given options. The pH scale ranges from 0 to 14, with 0 being the most acidic and 14 being the most alkaline. Milk is slightly acidic, with a pH value ranging from 6.4 to 6.8. Vinegar is also acidic, but it typically has a lower pH value than milk. Gastric juice, which is found in the stomach, is highly acidic with a pH of around 1. Lemon is acidic as well, but its pH can vary depending on its ripeness and variety.

Explanation

Milk has the greatest value of pH among the given options. The pH scale ranges from 0 to 14, with 0 being the most acidic and 14 being the most alkaline. Milk is slightly acidic, with a pH value ranging from 6.4 to 6.8. Vinegar is also acidic, but it typically has a lower pH value than milk. Gastric juice, which is found in the stomach, is highly acidic with a pH of around 1. Lemon is acidic as well, but its pH can vary depending on its ripeness and variety.

197) Select the correct sentence.

She made the boy to do the whole work

She made the boy do the whole work

She made the boy to do whole the work

She made the boy to do the work at whole

The correct sentence is "She made the boy do the whole work." This sentence follows the correct structure for the causative verb "made," which is followed by the base form of the verb without "to." Additionally, the word order is correct, with "the whole work" following the verb "do."

Explanation

The correct sentence is "She made the boy do the whole work." This sentence follows the correct structure for the causative verb "made," which is followed by the base form of the verb without "to." Additionally, the word order is correct, with "the whole work" following the verb "do."

198) What is the closest meaning of the word "PREJUDICE?

Detriment

Conviction

Demonstration

Impartiality

The word "prejudice" refers to a preconceived opinion or bias towards a person or group, often based on stereotypes or insufficient information. "Detriment" is the closest meaning to "prejudice" because it implies harm or damage caused by holding such biased beliefs. It suggests that prejudice can have negative consequences for individuals or communities.

Explanation

The word "prejudice" refers to a preconceived opinion or bias towards a person or group, often based on stereotypes or insufficient information. "Detriment" is the closest meaning to "prejudice" because it implies harm or damage caused by holding such biased beliefs. It suggests that prejudice can have negative consequences for individuals or communities.

199) Which type of coal is used for domestic purposes?

Anthracite

Bituminous

Lignite

Peat

Anthracite is the type of coal that is used for domestic purposes. It is a hard, compact variety of coal with high carbon content and low moisture and ash content. Due to its high energy content and low smoke and emissions, anthracite is commonly used for heating homes and other domestic purposes. It is also known for its long burn time and high heat output, making it an efficient fuel source for residential use.

Explanation

Anthracite is the type of coal that is used for domestic purposes. It is a hard, compact variety of coal with high carbon content and low moisture and ash content. Due to its high energy content and low smoke and emissions, anthracite is commonly used for heating homes and other domestic purposes. It is also known for its long burn time and high heat output, making it an efficient fuel source for residential use.

200) What must be the matrix X, if

Option 1

Option 2

Option 3

Option 4

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Explanation

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Net-II Online Mock Test 2020 (Group: Chemistry)

1) If CIGARETTE is coded as GICERAETT, then DIRECTION will be coded as

2)

What first name or nickname would you like us to use?

2) The meaning of the idiomatic phrase, "Dance with the Death" is:

3) is equal to

4) Which of the following element has symbol Ac in Modern Periodic table?

5) Rabia is a noted dentist ______ in the region:

6) Which of the following is correct Spelling?

7) Intelligence Quotient If in a certain language FASHION is coded as FOIHSAN, how is PROBLEM coded in that code?

8) At a point 15 meters away from the base of 15 meters high house, the angle of elevation of the top is:

9) Which of the following systems of equations has as solution set?

10) Which of the following acts as capillary tube?

11) Which catalyst is used in contact process?

12)

13) Complete sequence with appropriate number 4,9,25,49,121,169,?

14) approximately equals to:

15) Which of the following is renewable energy source?

16) Which of the following gases cannot by Lind's Method Liquefaction?

17) The solution set for the equation is:

18) If a force is acting on moving body with constant velocity then power delivered to body at any instant is:

19) A 2 m tall cylinder, full of water, has four identical holes at heights 1.8 m, 1.2 m , 90.6 m and 0.3 m from the ground. The speed of efflux is maximum from:

20) Two lines are

21) In CRO, the brightness of the spot on the screen is controlled by:

22) The infinite geometric seriesis a:

23) The reaction of alkyl halide s with sodium metal in the presence of ether to form alkane is known as:

24) Number of diagonals formed in a decagon is:

25) The sides of a are , then largest angle is:

26) Let i,j and k be unit vectors then

27) Which of the following is a conservative force?

28) Which of the molecules has zero dipole moment?

29) The mass of fuel consumed by a typical moving rocket to overcome the earth's gravity is at the rate of

30) In Einstein's theory , the deflection of light is as great as it according to Newton's theory

31) Absolute zero on the Fahrenheit scale equals to

32) Select the correct spelling:

33) The position of a particle at any time 't' is given by the relation whereas is a constant and , then dimensions of respectively are:

34) If a gymnast sitting on stool with his arms stretched lowers his arms:

35) Which of the following is more stable than the atomic orbitals?

36) Complete the sequence with appropriate number 1,5,17,37,?

37) Which of the following statements is/are valid about the degree of polynomial? I) It cannot be positive and zero II) It can be rational as well as irrational III) It can be negative

38) Ifthen

39) If and , then which one of the following is a Bijective function from X to Y?

40) If ABCD is a parallelogram in which A(2,3), B (1,4) , C(0,5) , the coordinates of D are

41) If force is acting on a surface of object perpendicularly in a time interval t, whereas F is measured in newtons. The dimensions of a and b respectively are:

42) A lead ball and a feather are dropped in vacuum both at the same time. Which of the following statements is true?

43) Cathode rays produce red fluorescence on striking

44) Which of the following gases is produced by volacanic eruption?

45) When the polynomial is divided by , then remainder is 5. What is the value of constant k?

46) For what value of n,may be A.M between and ?

47)

48) What is the closest meaning of idiomatic phrase "Every cloud has a silver lining"

49) The resistance of an iron wire at 0°C is . The resistance of wire at 500°C if the temperature coefficient of resistance of iron is is:

50) Which of the following amino acid is basic?

51) Let two complex number and,then

52) Which one do you like?

53) If is the complex cube root of unity then the value of is:

54) is the slope of tangent to which of following conic?

55) Newton calculated speed of sound at STP equals to:

56) When an electron jumps from seventh orbit to forth orbit a particular Hydrogen band series formed which lies in

57) Resistivity of copper is:

58) Mathematics If , then

59) If yellow light in the Young's double slit experiment is replaced by blue light, the fringe width will

60) A galvanometer can be used as a voltmeter by connecting a

61) Which of the following is the closest meaning of "ARDUOUS"

62) Pick the odd one out

63) A Carnot engine has an efficiency of 50% when its sink temperature is at 27 °C . The temperature of source is:

64) The domain of is:

65) Which of the following functions is/are odd ?

66) .

67) If BD and CA are parallel to each other forming ABCD rectangular region such that OA is double the length of OE with its length d. Then find the shaded area of the region .

68) The radius of the circle is:

69) If electron accelerated by potential difference of 54 V. If mass of electron increases sixteen times by keeping the potential difference constant. The wavelength of electron

70) Chromatography in which stationary phase is a solid is called

71) When 6d orbital is complete, the entering electron goes into:

72) If and l,m are negative whereas n is positive then which of the following statement is true?

73) How many term of the series :

74) The acceleration due to gravity on moon is of that on earth, what will be the mass of the body on moon, if its mass on earth is m?

75) If the density of a planet Z is increased by sixteen times then the value of gravity at that planet will become

76) The magnifying power of telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of the objective is:

77) In transistor, which of the following statements is true ?

3) $\pm \sqrt {\frac {1-cos\alpha } {2}}$ is equal to

9) Which of the following systems of equations has $\{ (2,0),(-2,0)\}$ as solution set?

12) ${sin10}^{\circ }{sin30}^{\circ }{sin50}^{\circ }{sin70}^{\circ }=$

14) $sin{75}^{\circ }$ approximately equals to:

17) The solution set for the equation $\sqrt {3x+4}=2+\sqrt {2x-4}$ is:

18) If a force $F=i+3j+2k$ is acting on moving body with constant velocity $v=j+2k$ then power delivered to body at any instant is:

20) Two lines $L:\, y=\frac {2} {3}x+7$ $M:\, y=-\frac {3} {2}x+8$ are

22) The infinite geometric series ${\sum ^{\infty }_{n=1} \left ( {\frac {1} {2}} \right )}^{n}$ is a:

25) The sides of a $\Delta$ are ${t}^{2}+t+1,\, 2t+1\, \, and{t}^{2}-1$ , then largest angle is:

26) Let i,j and k be unit vectors then $|(j.j)\, +(i).\, (k\times j)+j.(k\times k)|=$

33) The position of a particle at any time 't' is given by the relation $x(t)=\, (\frac {vo} {\alpha }){(1-e}^{-\alpha t})$ whereas $vo$ is a constant and $\alpha >0$ , then dimensions of $vo\, and\, \alpha$ respectively are:

38) If $y=\frac {2} {3}x+\frac {4} {9}{x}^{2}+\frac {8} {27}{x}^{3}+........$ then

39) If $X=\{ a,b,c,d\}$ and $Y=\{ 1,2,3,4\}$ , then which one of the following is a Bijective function from X to Y?

41) If force $F={at}^{3}+{bt}^{-4}+c$ is acting on a surface of object perpendicularly in a time interval t, whereas F is measured in newtons. The dimensions of a and b respectively are:

45) When the polynomial $f(x)={2x}^{2}+5x+k$ is divided by $2x+3$ , then remainder is 5. What is the value of constant k?

46) For what value of n, $\frac {{x}^{n}+{y}^{n}} {{x}^{n-2}+{y}^{n-2}}$ may be A.M between ${x}^{2}$ and ${y}^{2}$ ?

47) $sin{19}^{\circ .}{cos11}^{\circ }+{sin71}^{\circ }{sin11}^{\circ }=$

49) The resistance of an iron wire at 0°C is $1\times {10}^{4}\Omega$ . The resistance of wire at 500°C if the temperature coefficient of resistance of iron is $5.2\times {10}^{-3}{K}^{-1}$ is:

51) Let two complex number ${z}_{1}=8+9i$ and ${z}_{2}=5-6i$ ,then $Im({z}_{1}.{z}_{2})=$

53) If $\omega$ is the complex cube root of unity then the value of ${(\sqrt {{\omega }^{5}}+\sqrt {\frac {1} {{\omega }^{2}}})}^{4}$ is:

54) $\frac {dy} {dx}=\frac {1} {y}$ is the slope of tangent to which of following conic?

58) Mathematics If ${(\sqrt {3}+i)}^{100}={2}^{99}(a+bi)$ , then ${a}^{2}+{b}^{2}=$

64) The domain of $5sec(3x-\frac {\pi } {4})$ is:

65) Which of the following functions is/are odd ? $I)\, \, {f(x)=x}^{4}+{5x}^{2}-3$ $II)\, \, f(x)={3x}^{3}+5x+1$ $III)\, {x}^{3}+x$

68) The radius of the circle ${3x}^{2}+{3y}^{2}+kxy+9x+(k-6)y+3=0$ is:

72) If $l,m,n\in Z$ and l,m are negative whereas n is positive then which of the following statement is true?

73) How many term of the series $2+4+8+16+......\, amount\, to\, 510$ :

74) The acceleration due to gravity on moon is $\frac {1} {6}th$ of that on earth, what will be the mass of the body on moon, if its mass on earth is m?

84) The infinite Geometric series $\sum ^{\infty }_{n=0} {{(-\frac {3} {2})}^{n}}$

89) Significant figures in the final answer of $\frac {1.415\times {10}^{4}\times 2.14\times {10}^{2}} {3.01\, \times {10}^{2}\times 7.1}$ are

90) A charge $Q$ is situated in the center of cube. The electric flux through each face of cube is:

93) For any two complex numbers, ${z}_{1},{z}_{2}$ , which of the following is true?

94) If ${{}^{18}C}_{r}={}^{18}{C}_{r+2}$ then ${}^{r}{C}_{5}=$

95) Sum of the series $2+(2+5)+(2+5+8)+..........\, to\, n\, terms$ is:

96) If $tanx=-1$ and $sinx=\frac {1} {\sqrt {2}}$ then $\forall \, n\in \, Z$ , the general solution is

98) Equation ${3x}^{2}+2{y}^{2}+6x+y+9=0$ represents to which of following conic section?

100) At transition temperature 95.5°C, Sulphur ${S}_{8}$ changes its geometry from Rhombic to

102) The sum of n terms of $1.2.3+2.3.4+3.4.5+..........$ will be:

108) Real part of ${(2-3i)}^{6}$ is:

109) $\frac {{(cos3x+isin3x)}^{3}.{(cos4x+isin4x)}^{2}} {{(cos2x+isin2x)}^{3}.({cosx+isinx)}^{4}}$ =

116) The angle coterminal with $-\frac {71} {6}\pi$ is:

117) If the eccentricity of a conic is given by $0<e<1$ then which of the following conditions of tangency for that conic will be valid?

121) If the displacement of a particle executing SHM is given by $y(t)=\, 0.30\, sin(220t+0.64)$ in meters, then the frequency and maximum velocity of the particle are:

132) The domain of the function $f(x)=\sqrt {\frac {(x-2)(x+5)} {x-4}}$ is:

133) What is the angle that given vector A makes with y-axis $A=2i+\sqrt {12}j$ ?

135) The system: $x+4y+\lambda z=2$ $2x+y-2z=11$ $3x+2y-2z=16$ has infinitely many solutions if

136) Equation in which roots are double the roots of ${x}^{2}+3x+2=0$ is:

137) In partial fraction resolution $\frac {2x+p} {(x-1)(x+2)(x+3)}=\frac {1} {4(x-1)}+\frac {q} {x+2}+\frac {5} {4(x+3)}$ then:

138) ${sec}^{2}mA+{cosec}^{2}mA={sec}^{2}mA{cosec}^{2}mA,\, where\, \forall n\in N$

142) The term independent of x in ${{(x}^{2}-\frac {1} {x})}^{9}$ is:

143) Let f(x) is differentiable function such that $f(x+y)=f(x)+f(y),\forall x,y\in R$ and $f(2)=5$ then $f'(0)=$