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

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

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.

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

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

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.

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3.  Which of the following element has symbol Ac in Modern Periodic table?

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.

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4. is equal to

Explanation

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

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.

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

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.

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7. Which of the following is correct Spelling? 

Explanation

The correct spelling is "Vivacious".

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

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.

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9. Which of the following acts as capillary tube?

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.

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10. Which catalyst is used in contact process?

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.

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11. Which of the following systems of equations has as solution set?

Explanation

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12.

Explanation

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

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.

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14. Which of the following gases cannot by Lind's Method Liquefaction?

Explanation

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15. Which of the following is renewable energy source?

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.

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16. approximately equals to:

Explanation

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

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17. The solution set for the equation is:

Explanation

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

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.

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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:

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.

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20. In CRO, the brightness of the spot on the screen is controlled by:

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.

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21. Two lines  are 

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.

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22. The infinite geometric seriesis a:

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.

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

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.

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24. Which of the molecules has zero dipole moment?

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.

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

Explanation

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26. Which of the following 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.

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27. Number of diagonals formed in a decagon is:

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.

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28. Let i,j and k be unit vectors then 

Explanation

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29. Select the correct spelling:

Explanation

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

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

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.

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

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.

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32. Absolute zero on the Fahrenheit scale equals to 

Explanation

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33. If a gymnast sitting on stool with his arms stretched 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.

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

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].

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35. Which of the following is more stable than 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.

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

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.

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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 

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.

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

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).

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39. 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:

Explanation

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40. Ifthen 

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41. Which of the following gases is produced by volacanic eruption?

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).

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

Explanation

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

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.

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44. Cathode rays produce  red fluorescence on striking

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.

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

Explanation

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46. What is the closest meaning of idiomatic phrase "Every cloud has a silver lining"

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.

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

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.

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48.

Explanation

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49. Which of the following amino acid is basic?

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.

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50. 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:

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.

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51. Which one do you like?

Explanation

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

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52. Let two complex number and,then 

Explanation

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

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.

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

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.

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

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.

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56. Newton calculated speed of sound at STP equals to:

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.

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57. Resistivity of copper is:

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.

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

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.

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59. Mathematics If , then 

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.

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

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.

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61. Pick the odd one out

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.

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62. Which of the following is the closest meaning of "ARDUOUS"

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".

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

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.

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64. When 6d orbital is complete, the entering electron goes into:

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.

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65. The domain of is:

Explanation

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66. Which of the following functions is/are odd ?

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.

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67. The radius  of the circle is:

Explanation

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68. .

Explanation

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

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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 

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."

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70. 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 .

Explanation

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71. Chromatography in which stationary phase is a solid is called

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.

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72. In transistor, which of the following statements is true ?

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.

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

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.

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74. Which of following process is used to locate the position of double bond in alkene?

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.

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75. 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?

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.

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

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.

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77. By mixing a weak base and a salt of it with a strong acid, it forms a 

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.

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78. How many term of the series :

Explanation

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79. 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:

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.

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80. If and l,m are negative whereas n is positive then which of the following statement is 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.

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81. First mixture of gases filled in G-M tube was 

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.

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

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.

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83. The infinite Geometric series 

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."

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84. Chemistry Number of isotopes of Cadmium is:

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.

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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?

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.

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86. Which of the following has the highest extent of polarizability ?

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.

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87. Which of the following may not be 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.

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88. A charge is situated in the center of cube. The electric flux through each face of cube is:

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.

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89. Significant figures in the final answer of are

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.

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90. Which is not a calacrious material?

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.

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91. 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 

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.

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92. Strongest reducing agent in the electrochemical series is:

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.

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93. If then 

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".

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94. Boiling point of methyl alcohol is:

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.

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95. Equationrepresents to which of following conic section?

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.

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96. What is the ratio of the shaded area to un-shaded area?

Explanation

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97. Sum of the series is:

Explanation

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98. If and then , the general solution is

Explanation

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

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.

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100. For any two complex numbers, , which of the following is true?

Explanation

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

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101. At transition temperature 95.5°C, Sulphur changes its geometry from Rhombic to

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.

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102. When a platinum wire is heated it appears orange red light emitting through the wire at 

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.

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103. The sum of n terms of will be:

Explanation

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104. In the parallelogram ABCD, what is value of x?

Explanation

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105. .

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.

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

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.

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107. 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 

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.

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108. =

Explanation

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109. A function which is to be maximized or minimized is called:

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.

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110. Real part of is:

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.

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111. By the use of catalysts, the energy of activation is:

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".

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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                  

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."

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113. Pick the odd one out

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.

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114. 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:

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.

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115. The existence of a positron was predicted by 

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.

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116. The angle coterminal with is:

Explanation

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117. If the eccentricity of a conic is given by then which of the following conditions of tangency for that conic 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.

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118. Which of following ester has the smell of Raspberry ?

Explanation

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

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

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.

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120. If DC motor is overloaded as a result it allows to draw

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."

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

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.

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122. Which of the following is the closest meaning of "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."

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123. Analogy Fugitive : Fee

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.

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124. 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?

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.

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125. If the displacement of a particle executing SHM is given by  in meters, then the frequency and maximum velocity of the particle are:

Explanation

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126. Eccentricity of Earth is

Explanation

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

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.

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128. .

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.

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

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.

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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? 

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.

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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?.

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.

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132. When a fog droplet falls through air, the net force acting on the droplet becomes

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.

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133. What is the angle that given vector A makes with y-axis?

Explanation

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134. The domain of the function is:

Explanation

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135. Equation in which roots are double the roots of is:

Explanation

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136. In partial fraction resolution then:

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137.

Explanation

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138. 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?

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.

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139. The system: has infinitely many solutions if 

Explanation

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

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%.

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

Explanation

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142. 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:

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.

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143. Which of the following plastic is a thermosetting plastic?

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.

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144. The term independent of x in is:

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.

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145. Let f(x) is differentiable function such that and then 

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.

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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?

Explanation

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

Explanation

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148. Which of the following is the closest meaning of "MALICIOUS"?

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.

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149. A body starts SHM and move from in and then move further from  then:

Explanation

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150. Which is the opposite meaning of the word "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."

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151. For decolorizing vat dyes,  we use

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.

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

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.

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153. Which of the following is the closest meaning of "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.

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154. Which of the following trigonometric function has the graph given below 

Explanation

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155. 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?

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!.

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156. 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?

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.

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157. 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)? 

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.

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158. 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?

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.

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159. The equation of the pair of straight lines passing through the origin and perpendicular to the pair of lines represented by is given by:

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.

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160. Choke is basically a

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."

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161. A balloon of mass 10 kg is raising up with an acceleration of . If the mass of 4 kg is removed from the balloon, its acceleration becomes

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.

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162. Period of is:

Explanation

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163. The antonym of "INDIGENOUS" is:

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.

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164. Which of the following Muslim scientists did contribute in field of Trigonometry?

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.

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

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.

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166. The notation for differentiation of a function was introduced by:

Explanation

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

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167. Let z be a complex number, if and , then z=

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168. Which one do you like?

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169. Which one of the following is meta directing in nature?

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170. Which of the following order of escape velocity of the planets is correct?

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.

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171. Select the closest meaning of "Voracious"  from given options

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.

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172. Which of following scientist did prove the wave nature of light firstly?

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.

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173. Analogy Soot:Grimy

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.

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174. If orders of matrix B and C are and BA=C, then the order of matrix A is:

Explanation

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

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.

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176. 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

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.

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

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.

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178. 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:

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.

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179. 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

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.

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180.

Explanation

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

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.

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

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.

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183.  is equal to:

Explanation

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184. 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:

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.

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185. The area bounded by the x-axis and the curve is:

Explanation

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186. 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:

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.

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187. Select the correct sentence 

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.

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188. When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by  . By suspending 2.0 kg block to the spring and if the block is pulled through  and released the maximum velocity in it in m/s is : (Acceleration due to gravity )

Explanation

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189. 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?

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).

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190. English Select the correct Sentence: 

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."

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

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.

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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:

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.

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193. are used as:

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.

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194. Select the correct sentence.

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."

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195. Physics Epoch is the unit:

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.

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

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.

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197. Tin becomes a super conductor at which of following 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.

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

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.

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

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.

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200. What must be the matrix X, if

Explanation

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If CIGARETTE is coded as GICERAETT, then DIRECTION will be coded as
The meaning of the idiomatic phrase,  "Dance with the...
 Which of the following element has symbol Ac in Modern...
Is equal to
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Intelligence Quotient ...
Which of the following is correct Spelling? 
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Which of the following acts as capillary tube?
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Which of the following systems of equations has as solution set?
Complete sequence with appropriate number ...
Which of the following gases cannot by Lind's Method Liquefaction?
Which of the following is renewable energy source?
Approximately equals to:
The solution set for the equation is:
If a force is acting on moving body with constant...
A 2 m tall cylinder, full of water, has four identical holes at...
In CRO, the brightness of the spot on the screen is controlled by:
Two lines  are 
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The reaction of alkyl halide s with sodium metal in the presence of...
Which of the molecules has zero dipole moment?
The sides of a are , then largest angle is:
Which of the following is a conservative force?
Number of diagonals formed in a decagon is:
Let i,j and k be unit vectors then 
Select the correct spelling:
In Einstein's theory , the deflection of light is  ...
The mass of fuel consumed by a typical moving rocket to overcome the...
Absolute zero on the Fahrenheit scale equals to 
If a gymnast sitting on stool with his arms stretched lowers his arms:
The position of a particle at any time 't' is given by the...
Which of the following is more stable than the atomic orbitals?
Complete the sequence with appropriate number 1,5,17,37,?
Which of the following statements is/are valid about the degree...
If ABCD is a parallelogram in which A(2,3), B (1,4) , C(0,5) , the...
If force is acting on a surface of object perpendicularly in a...
Ifthen 
Which of the following gases is produced by volacanic eruption?
 If  and , then which one of the following is a Bijective...
A lead ball and a feather are dropped in vacuum both at the same time....
Cathode rays produce  red fluorescence on striking
For what value of n,may be A.M between and ?
What is the closest meaning of idiomatic phrase "Every cloud...
When the polynomial is divided by , then remainder is 5....
Which of the following amino acid is basic?
The resistance of an iron wire at 0°C is . The resistance of...
Which one do you like?
Let two complex number and,then 
If is the complex cube root of unity then the value of is:
Is the slope of tangent to which of following conic?
When an electron jumps from seventh orbit to forth orbit a particular...
Newton calculated speed of sound at STP equals to:
Resistivity of copper is:
If yellow light in the Young's double slit experiment is replaced...
Mathematics If , then 
A galvanometer can be used as a voltmeter by connecting a
Pick the odd one out
Which of the following is the closest meaning...
A Carnot engine has an efficiency of 50% when its sink temperature is...
When 6d orbital is complete, the entering electron goes into:
The domain of is:
Which of the following functions is/are odd ?
The radius  of the circle is:
.
If electron  accelerated by potential difference of 54 V. If mass...
If BD and CA are parallel to each other forming ABCD rectangular...
Chromatography in which stationary phase is a solid is called
In transistor, which of the following statements is true ?
In sea, after every 100 feet depth. the diver experiences pressure of...
Which of following process is used to locate the position of double...
The acceleration due to gravity on moon is of that on earth, what...
In Bomb Calorimeter,  the lid is screwed on tightly and oxygen is...
By mixing a weak base and a salt of it with a strong acid, it forms...
How many term of the series :
The magnifying power of telescope is 9. When it is adjusted for...
If and l,m are negative whereas n is positive then which of the...
First mixture of gases filled in G-M tube was 
If the density of a planet Z is increased by sixteen times then the...
The infinite Geometric series 
Chemistry Number of isotopes of Cadmium is:
The electric field between the plates of an isolated air spaced...
Which of the following has the highest extent of polarizability ?
Which of the following may not be general term of an arithmetic...
A charge is situated in the center of cube. The electric flux through...
Significant figures in the final answer of are
Which is not a calacrious material?
Which of the following statements is/are true? ...
Strongest reducing agent in the electrochemical series is:
If then 
Boiling point of methyl alcohol is:
Equationrepresents to which of following conic section?
What is the ratio of the shaded area to un-shaded area?
Sum of the series is:
If and then , the general solution is
Which of the following is reverse biased pn junction?
For any two complex numbers, , which of the following is true?
At transition temperature 95.5°C, Sulphur changes its geometry...
When a platinum wire is heated it appears orange red light emitting...
The sum of n terms of will be:
In the parallelogram ABCD, what is value of x?
.
A resistance R is stretched to four times its length. Its new...
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=
A function which is to be maximized or minimized is called:
Real part of is:
By the use of catalysts, the energy of activation is:
Two positive charges are separated by 3m distance. A positive charge...
Pick the odd one out
Section of right circular cone by a plane not parallel to any...
The existence of a positron was predicted by 
The angle coterminal with is:
If the eccentricity of a conic is given by then which of the...
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If DC motor is overloaded as a result it allows to draw
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Which of the following is the closest meaning of "DOLOROUS"?
Analogy Fugitive : Fee
Two fighter jets A and B have taken flight for air patrolling. ...
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Eccentricity of Earth is
RLC components are connected in series to a source of alternating...
.
In pure capacitive circuit, AC passes through the capacitor. Which of...
A girl leaves from her home. She first walks 30 meters in...
Each member of a sport club plays at least of soccer, rugby or tennis....
When a fog droplet falls through air, the net force acting on the...
What is the angle that given vector A makes with y-axis?
The domain of the function is:
Equation in which roots are double the roots of is:
In partial fraction resolution then:
If a body A is charged with charge q and is touched with a...
The system: has infinitely many solutions if 
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Which one of the following statements does represent the Venn Diagram...
Reading Comprehension: ...
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The term independent of x in is:
Let f(x) is differentiable function such that and then 
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Which of the following  has the  numerical greatest value?
Which of the following is the closest meaning of...
A body starts SHM and move from in and then move further...
Which is the opposite meaning of the word "CANDID" ?
For decolorizing vat dyes,  we use
Number of electrons pass through an electric bulb in one minute if the...
Which of the following is the closest meaning of "FELICITY"?
Which of the following trigonometric function has the graph given...
A company has 10 software engineers and 6 civil engineers. In how many...
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What is the area of shaded region 'A' and 'B' are mid...
If a ball in a bowl from its extreme position leaves to start...
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Choke is basically a
A balloon of mass 10 kg is raising up with an acceleration of ....
Period of is:
The antonym of "INDIGENOUS" is:
Which of the following Muslim scientists did contribute in field of...
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The notation for differentiation of a function was introduced by:
Let z be a complex number, if and , then z=
Which one do you like?
Which one of the following is meta directing in nature?
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Select the closest meaning of "Voracious"  from...
Which of following scientist did prove the wave nature of light...
Analogy Soot:Grimy
If orders of matrix B and C are and BA=C, then the order of...
Dielectric which is introduced between the parallel plate capacitor...
Reading Comprehension: ...
Set of residue classes modulo 4 is an abelian group w.r.t '+',...
If the line joining A(7,3) and B(k,6) is parallel to line joining...
If A is to the south of B and C is to the east of B, in what direction...
According to a military code, SYSTEM is SYSMET and NEARER is AENRER....
If a set A contains 10 entries then no.of distinct functions from A to...
 is equal to:
A particle executing SHM, time to reach half of its amplitude is 1...
The area bounded by the x-axis and the curve is:
If a circle is inscribed in an equilateral triangle with radius r and...
Select the correct sentence 
When a body of mass 1.0 kg is suspended from a certain light spring...
There are 15 boys and 10 girls in a class. If three students...
English Select the correct Sentence: 
If the matrix AB is a zero matrix, then 
The distance of closest approach of an alpha particle fired at...
Are used as:
Select the correct sentence.
Physics Epoch is the unit:
Which of the following acid has the greatest value of pH?
Tin becomes a super conductor at which of following temperature?
What is the closest meaning of the word "PREJUDICE?
Which type of coal is used for domestic purposes?
What must be the matrix X, if
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