1.
Which one is not correctly matched
Correct Answer
D. Rat-Sow
Explanation
The given options are pairs of animals and their respective names for males and females. However, the pair "Rat-Sow" is not correctly matched because a sow is a female pig, not a female rat.
2.
The switch is ___the door.
Correct Answer
D. By
Explanation
The word "by" is the correct answer because it indicates that the switch is located near or next to the door.
3.
He was sworn ______as the president of the students Unions.
Correct Answer
C. In
Explanation
The correct answer is "in". In this context, "in" is used to indicate the position or status someone takes on. So, the sentence means that he took on the position or status of being the president of the student Unions.
4.
Pick out the correct sentence
Correct Answer
D. There is a shop near my house
Explanation
The correct sentence is "there is a shop near my house." This is because the subject "shop" is singular, so it should be followed by the singular verb "is." Additionally, the use of "a" before "shop" is necessary to indicate that there is one shop near the speaker's house.
5.
Find out the error
Correct Answer
B. Are not going
Explanation
The error in this sentence is the incorrect subject-verb agreement. The subject "one of the students" is singular, so it should be followed by the singular verb "is" instead of the plural verb "are." Therefore, the correct form should be "one of the students is not going on a historical tour."
6.
Which one word is verb
Correct Answer
B. Sympathise
Explanation
The correct answer is "Sympathise" because it is the only word in the given options that functions as a verb. The other words, "Sympathy," "Sympathetic," and "Sympathieser," are nouns or adjectives. To sympathize means to show understanding or compassion towards someone else's feelings or experiences, which is an action typically associated with a verb.
7.
________gentleman came to meet you.
Correct Answer
B. A
Explanation
The correct answer is "a" because "gentleman" is a singular noun and requires the indefinite article "a" before it. The other options ("any," "those," "these") are either incorrect or do not match the singular form of the noun.
8.
Which one is not a correct match
Correct Answer
B. Shipki la-Jammu &Kashmir
Explanation
The correct answer is Shipki la-Jammu & Kashmir. This is because Shipki la is actually located in Himachal Pradesh, not Jammu & Kashmir. The other options are correct matches, with Bom di la located in Arunachal Pradesh, Mana and Niti located in Uttarakhand, and Jelep La located in Sikkim.
9.
The persian translation of MAhabharata, which was done in 16^{th }century is called
Correct Answer
C. Razmanama
Explanation
The Persian translation of the Mahabharata, which was completed in the 16th century, is known as Razmanama.
10.
Which Indian state has been declared as the first Digital state of India
Correct Answer
D. Kerala
Explanation
Kerala has been declared as the first digital state of India because it has made significant advancements in digital infrastructure and connectivity. The state has implemented various initiatives such as the "Kerala Fibre Optic Network" which provides high-speed internet connectivity to every household, and the "e-District" project which aims to deliver government services digitally. Kerala has also been successful in promoting digital literacy and ensuring access to digital services in rural areas. These efforts have positioned Kerala as a leader in digital transformation and have earned it the recognition of being the first digital state in India.
11.
India first semi high speed train is running between
Correct Answer
A. Delhi to agra
Explanation
The correct answer is Delhi to Agra. This is because the question is asking about the route of India's first semi high-speed train, and the train is running between Delhi and Agra.
12.
India first Muslim woman chief minister is
Correct Answer
D. Syeda Anwara Taimur
Explanation
Syeda Anwara Taimur is the correct answer for the first Muslim woman chief minister of India. She served as the Chief Minister of Assam from December 1980 to June 1981. Taimur's appointment was significant as she became the first and only Muslim woman to hold this position in India.
13.
Asia's biggest Telescope inaugurated at
Correct Answer
B. Udaipur
Explanation
The correct answer is Udaipur. This suggests that Udaipur is the location where Asia's biggest telescope was inaugurated.
14.
Parallel lines on Glob is known as
Correct Answer
B. Latitudes
Explanation
Parallel lines on a globe are known as latitudes. Latitudes are imaginary lines that run horizontally around the Earth, parallel to the equator. They are used to measure distances north or south of the equator and are expressed in degrees. These lines help in locating specific points on the Earth's surface and are essential for navigation and mapping purposes.
15.
Which article is related to Right to Education
Correct Answer
C. Article 29
Explanation
Article 29 of the Universal Declaration of Human Rights is related to the Right to Education. This article states that everyone has the right to education, which should be directed to the full development of the human personality and the strengthening of respect for human rights and fundamental freedoms. It emphasizes that education should promote understanding, tolerance, and friendship among all nations, racial or religious groups. Additionally, it states that parents have the right to choose the kind of education that shall be given to their children.
16.
How many sports will be played during Rio Paralympic Games,2016
Correct Answer
D. 23
Explanation
The Rio Paralympic Games in 2016 featured a total of 23 sports.
17.
Who is writer of book Courage and Commitment
Correct Answer
A. Margaret Alva
Explanation
Margaret Alva is the correct answer because she is the writer of the book "Courage and Commitment".
18.
Who is not a recipients of Rajiv Gandhi Khel Ratna Award 2016
Correct Answer
D. Saina Nehval
Explanation
Saina Nehwal is not a recipient of the Rajiv Gandhi Khel Ratna Award 2016.
19.
Who among the following is the author of the book titled 'The White Tiger"?
Correct Answer
D. Aravind Adiga
Explanation
Aravind Adiga is the author of the book titled 'The White Tiger'.
20.
Which of the following firms has introduced Android Skilling Program for India to train two million developers over the next three years?
Correct Answer
C. Google
Explanation
Google has introduced the Android Skilling Program for India to train two million developers over the next three years. This program aims to provide the necessary skills and knowledge to developers in India to create high-quality Android apps. By offering this program, Google is investing in the development of the Indian tech industry and fostering innovation in mobile app development.
21.
Co initial Vectors are
Correct Answer
B. Two or more vectors having the same initial point
Explanation
The correct answer is "Two or more vectors having the same initial point". This means that the vectors start at the same point in space. The initial point is the starting point of the vector, and when multiple vectors have the same initial point, it indicates that they all originate from the same location. This is a common concept in vector analysis, where vectors are often represented as arrows with a starting point and a direction.
22.
Vectors A and B are Co linear
Correct Answer
A. If they are parallel to the same line irrespective of their magnitudes and directions.
Explanation
Vectors A and B are co-linear if they are parallel to the same line, regardless of their magnitudes and directions. This means that both vectors have the same direction or are in opposite directions, but they are still parallel to the same line. The magnitudes of the vectors and their specific directions do not matter as long as they are parallel to the same line.
23.
For dot product of vector which of the following is not correct?
Correct Answer
C. A.A=0
Explanation
The dot product of a vector with itself is equal to the square of its magnitude. Therefore, A.A is equal to the square of the magnitude of vector A, which is always greater than or equal to zero. It cannot be equal to zero unless vector A is the zero vector. Hence, the statement A.A=0 is not correct.
24.
Find out the multiplication of complex number (4+5i) with its conjugate complex number
Correct Answer
B. 41
Explanation
The multiplication of a complex number (a+bi) with its conjugate complex number (a-bi) results in a real number. In this case, the complex number is (4+5i) and its conjugate is (4-5i). When we multiply these two complex numbers, we get (4+5i)(4-5i) = 16 - 20i + 20i - 25i^2 = 16 + 25 = 41. Therefore, the correct answer is 41.
25.
I⁻¹²
Correct Answer
C. 1
Explanation
The given expression is i⁻¹². The exponent -1² means that -1 is squared, which equals 1. Since i represents the imaginary unit, the value of i is the square root of -1. Therefore, i squared is equal to -1. So, the expression i⁻¹² can be simplified to -1. However, the given answer is 1, which is incorrect.
26.
Sum of (-3a+2bi),(4a+6bi) and (7a-4bi) is
Correct Answer
C. 8a+4bi
Explanation
The given question asks for the sum of three complex numbers: (-3a+2bi), (4a+6bi), and (7a-4bi). To find the sum, we add the real parts and the imaginary parts separately. The real parts are -3a, 4a, and 7a, which add up to 8a. The imaginary parts are 2bi, 6bi, and -4bi, which add up to 4bi. Therefore, the sum of the three complex numbers is 8a+4bi.
27.
Find out value of x and yfor (2y-6)+(4x-20)i=0
Correct Answer
B. X=5 y= 3
Explanation
The given equation is a complex number equation in the form (2y-6)+(4x-20)i=0. To solve this equation, we need to equate the real and imaginary parts to zero separately. From the real part, we have 2y-6=0, which gives y=3. From the imaginary part, we have 4x-20=0, which gives x=5. Therefore, the value of x is 5 and the value of y is 3.
28.
Find out the distance between point (2,3) and (4,1)
Correct Answer
A. 2√2
Explanation
The distance between two points in a coordinate plane can be found using the distance formula, which is derived from the Pythagorean theorem. The formula is √((x2-x1)^2 + (y2-y1)^2). In this case, the coordinates of the two points are (2,3) and (4,1). Plugging these values into the formula, we get √((4-2)^2 + (1-3)^2) = √(2^2 + (-2)^2) = √(4 + 4) = √8 = 2√2. Therefore, the correct answer is 2√2.
29.
Find out distance between point(0,cosθ) and (sinθ,0)
Correct Answer
A. 1
Explanation
The given answer, 1, is the correct distance between the points (0, cosθ) and (sinθ, 0). The distance between two points in a two-dimensional coordinate system can be calculated using the distance formula, which is the square root of the sum of the squares of the differences in the x-coordinates and the y-coordinates of the two points. In this case, the x-coordinate difference is sinθ - 0 = sinθ, and the y-coordinate difference is 0 - cosθ = -cosθ. Therefore, the distance is √(sin²θ + cos²θ), which simplifies to 1.
30.
Dy/dx(ax²+bx+c)
Correct Answer
B. 2ax+b
Explanation
The given expression represents the derivative of a quadratic function ax^2 + bx + c with respect to x. To find the derivative, we apply the power rule, which states that the derivative of x^n is nx^(n-1). Applying this rule, the derivative of ax^2 is 2ax, and the derivative of bx is b. Therefore, the correct answer is 2ax + b.
31.
Dy/dx sec⁻¹ x
Correct Answer
A. 1/x(√x²-1)
Explanation
The given expression is dy/dx sec⁻¹ x. To find the derivative of sec⁻¹ x, we can rewrite it as arccos(1/x). Using the chain rule, we differentiate arccos(1/x) as -1/(√x²-1) * d(1/x)/dx. Simplifying further, we get -1/(√x²-1) * (-1/x²), which gives us 1/x(√x²-1). Therefore, the correct answer is 1/x(√x²-1).
32.
∫15x⁴
Correct Answer
C. 3x⁵+c
Explanation
The given integral is ∫15x⁴. When we integrate x⁴, we add 1 to the exponent and divide by the new exponent. Therefore, integrating x⁴ gives us x⁵/5. Since there is a constant term, c, in the answer choices, we include it as +c. Thus, the correct answer is 3x⁵+c, as it matches the result of integrating 15x⁴.
33.
In case of even symmetry of Fourier series
Correct Answer
C. Sine term is zero
Explanation
In the case of even symmetry of a Fourier series, the function being represented is symmetric about the y-axis. This means that the function is unchanged when reflected across the y-axis. In a Fourier series, the sine terms represent the odd components of the function, which are responsible for its asymmetry. Since the function is symmetric in this case, there are no odd components, and therefore the sine terms are zero.
34.
A matrix having all diagonal element is equal and all other element is zero known as
Correct Answer
A. Scalar matrix
Explanation
A scalar matrix is a matrix in which all the diagonal elements are equal and all the other elements are zero. Therefore, a matrix having all diagonal elements equal and all other elements as zero is known as a scalar matrix.
35.
Laplace of sinh at
Correct Answer
D. A/s²-a²
Explanation
The correct answer is a/s²-a² because the Laplace transform of sinh(t) is (e^t - e^(-t))/2, which can be rewritten as (e^t/2) - (e^(-t)/2). Taking the Laplace transform of this expression, we get (1/2)*(1/(s-1/2)) - (1/2)*(1/(s+1/2)), which simplifies to (1/2)*((2s)/(s²-1/4)) = s/(s²-1/4) = a/s²-a².
36.
Which one is not a fundamental unit
Correct Answer
D. Newton
Explanation
The question is asking for the unit that is not considered a fundamental unit. The fundamental units are the basic units of measurement in the International System of Units (SI). The candela, radian, and mole are all fundamental units, representing luminous intensity, plane angle, and amount of substance, respectively. However, the newton is not a fundamental unit. It is derived from the fundamental units of kilogram, meter, and second, representing force. Therefore, the correct answer is newton.
37.
Which one is not a unit of length
Correct Answer
B. Solar day
Explanation
A solar day is not a unit of length, but a unit of time. It represents the time it takes for the Earth to complete one rotation on its axis relative to the Sun. In contrast, a light year, an astronomical unit, and a parsec are all units of length used to measure vast distances in space.
38.
Newton per meter is unit of
Correct Answer
D. Surface tension
Explanation
Newton per meter (N/m) is the unit of surface tension. Surface tension is a property of liquids that arises due to the cohesive forces between the molecules at the surface. It is defined as the force per unit length acting perpendicular to an imaginary line drawn on the surface. The unit N/m represents the force (Newton) required to stretch a line of length 1 meter on the surface. Therefore, the correct answer is surface tension.
39.
Which one is a unit of sound intensity
Correct Answer
B. Bel
Explanation
The bel is a unit of sound intensity. It is a logarithmic unit that measures the ratio of the intensity of a sound wave to a reference level. The bel is named after Alexander Graham Bell and is commonly used in telecommunications and acoustics.
40.
A light wave of 50 Hz is traveling with speed of 200 m/s then it wave length in meter is
Correct Answer
C. 4
Explanation
The wavelength of a wave can be calculated by dividing the speed of the wave by its frequency. In this case, the speed of the wave is given as 200 m/s and the frequency is given as 50 Hz. By dividing these two values, we get a wavelength of 4 meters.
41.
Which one is not correct pair
Correct Answer
C. Proton -ukawa
Explanation
The given question is asking for the incorrect pair among the options provided. The correct answer is "proton - ukawa." This is because while the other pairs correctly match a particle with its corresponding scientist or discoverer (neutron - Chadwick, positron - Anderson, neutrino - Pawli), the pair "proton - ukawa" is incorrect. The proton was actually discovered by Ernest Rutherford, not Ukawa.
42.
A group element with same atomic weight and different atomic number is called
Correct Answer
B. Isobars
Explanation
Isobars are group elements with the same atomic weight but different atomic numbers. This means that although they have the same number of protons and neutrons, they have a different number of protons, resulting in different atomic numbers. Isobars have similar chemical properties but different physical properties due to the difference in atomic numbers.
43.
Which chain reaction use in Atomic Reactor
Correct Answer
A. Controlled
Explanation
In an atomic reactor, a controlled chain reaction is used. This means that the reaction is carefully regulated and maintained at a steady rate. This is achieved by controlling the amount of fuel and the rate at which neutrons are released and absorbed. This allows for a controlled release of energy, which is essential for the safe and controlled operation of the reactor. An uncontrolled chain reaction, on the other hand, would result in a rapid and uncontrollable release of energy, leading to a potential disaster. Therefore, the use of a controlled chain reaction is crucial in atomic reactors.
44.
Optical fiber is based on
Correct Answer
C. Total internal reflection of light
Explanation
Optical fiber is based on total internal reflection of light. This is because when light enters the fiber at an angle greater than the critical angle, it undergoes total internal reflection and continues to propagate through the fiber. This phenomenon allows the light signals to travel long distances without significant loss or distortion. The other options, reflection of light, refraction of light, and dispersion of light, are not the primary mechanisms that enable the functioning of optical fibers.
45.
E=mc^{2 }is known as
Correct Answer
B. Ansteen mass energy relation
Explanation
The correct answer is "Ansteen mass energy relation." This equation, E=mc2, is known as the Ansteen mass energy relation because it represents the equivalence between mass and energy. It states that energy (E) is equal to mass (m) multiplied by the speed of light squared (c2). This equation was proposed by Albert Einstein in his theory of relativity and is one of the most famous equations in physics. It revolutionized our understanding of the relationship between mass and energy.
46.
In which of these is reverse recovery time nearly zero?
Correct Answer
C. Schottky diode
Explanation
Schottky diodes have a nearly zero reverse recovery time. Reverse recovery time refers to the time it takes for a diode to transition from the conducting state to the non-conducting state when the voltage across it is reversed. In Schottky diodes, this transition is very fast because they have a metal-semiconductor junction, which allows for quicker charge removal compared to other types of diodes. This characteristic makes Schottky diodes suitable for high-frequency applications where fast switching is required.
47.
A transistor has a current gain of 0.99 in the CB mode. Its current gain in the CC mode is
Correct Answer
A. 100
Explanation
In the common base (CB) mode, the current gain of the transistor is given as 0.99. The current gain in the common collector (CC) mode is generally higher than in the CB mode. Therefore, the most likely explanation is that the current gain in the CC mode is significantly higher than 0.99, which is represented by the answer 100.
48.
In an n channel JFET, the gate is
Correct Answer
B. P type
Explanation
The gate of an n-channel JFET is p-type. In a JFET, the gate is made up of a p-type material, while the source and drain are made up of n-type materials. The p-type gate forms a reverse-biased pn junction with the n-type channel, creating a depletion region that controls the flow of current through the channel. By applying a voltage to the gate, the width of the depletion region can be adjusted, thereby controlling the conductivity of the channel and the current flowing through the JFET.
49.
The amount of photoelectric emission current depends on
Correct Answer
B. Intensity of incident radiation
Explanation
The amount of photoelectric emission current depends on the intensity of incident radiation. This means that the higher the intensity of the incident radiation, the greater the amount of photoelectric emission current. The frequency of the incident radiation does not have a direct effect on the amount of photoelectric emission current.
50.
Assertion (A): A p-n junction has high resistance in reverse direction.Reason (R): When a reverse bias is applied to p-n junction, the width of depletion layer increases.
Correct Answer
A. Both A and R are true and R is correct explanation of A
Explanation
Both A and R are true and R is the correct explanation of A. When a reverse bias is applied to a p-n junction, the width of the depletion layer increases. This results in a decrease in the number of charge carriers that can pass through the junction, leading to a higher resistance in the reverse direction. Therefore, the increase in the width of the depletion layer is the reason for the high resistance in the reverse direction of a p-n junction.