Major Competitive Exams

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Q. In a set of 150 people, 90 like reading fiction, 60 like reading non-fiction, and 30 like both. How many people like only non-fiction?
  • A. 30
  • B. 60
  • C. 90
  • D. 120
Q. In a set of 150 students, 90 study English, 70 study History, and 30 study both. How many students study only History?
  • A. 40
  • B. 30
  • C. 50
  • D. 60
Q. In a set of 200 people, 120 like dogs, 80 like cats, and 50 like both. How many people like only dogs?
  • A. 70
  • B. 50
  • C. 80
  • D. 100
Q. In a set of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?
  • A. 30
  • B. 50
  • C. 80
  • D. 20
Q. In a set of data: 10, 20, 20, 30, 30, 30, 40, 50, 50, 50, 50. What is the mode?
  • A. 20
  • B. 30
  • C. 40
  • D. 50
Q. In a set of data: 5, 6, 7, 7, 8, 8, 8, 9, 10, 10, what is the mode?
  • A. 5
  • B. 7
  • C. 8
  • D. 10
Q. In a set of data: 8, 9, 10, 10, 10, 11, 12, 12, 12, 12. What is the mode?
  • A. 8
  • B. 10
  • C. 11
  • D. 12
Q. In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution?
  • A. The distribution is symmetric.
  • B. The distribution is positively skewed.
  • C. The distribution is negatively skewed.
  • D. The distribution is uniform.
Q. In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution of the numbers?
  • A. The distribution is symmetric.
  • B. The distribution is skewed to the right.
  • C. The distribution is skewed to the left.
  • D. The distribution is uniform.
Q. In a set of numbers, if the median is greater than the mean, what can be inferred about the distribution of the numbers?
  • A. The numbers are evenly distributed.
  • B. The distribution is skewed to the left.
  • C. The distribution is skewed to the right.
  • D. The numbers are all equal.
Q. In a set of numbers, if the number 30 is a multiple of a certain number 'X', which of the following could be 'X'?
  • A. 5
  • B. 7
  • C. 10
  • D. 12
Q. In a set of numbers: 10, 20, 30, 40, 50, what is the median? (2023)
  • A. 20
  • B. 30
  • C. 40
  • D. 50
Q. In a set of numbers: 5, 5, 6, 7, 8, 8, 8, 9, what is the mode?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. In a set of numbers: 5, 6, 7, 5, 8, 5, 9, 6, what is the mode?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. In a set of tasks A, B, C, D, and E, if A must be done before B and C, and C must be done before D, which of the following is a possible order?
  • A. B, A, C, D, E
  • B. A, C, B, D, E
  • C. C, A, B, D, E
  • D. A, B, D, C, E
Q. In a set of tasks where A must be completed before B, and C must be completed before A, which of the following sequences is valid?
  • A. C, A, B
  • B. A, C, B
  • C. B, A, C
  • D. C, B, A
Q. In a set of tasks where A must be completed before C, and C must be completed before D, which of the following sequences is invalid?
  • A. A, C, D
  • B. C, A, D
  • C. A, D, C
  • D. D, C, A
Q. In a set of tasks where A must be completed before D, and D must be completed before E, which of the following is a valid order?
  • A. E, D, A
  • B. A, D, E
  • C. D, A, E
  • D. A, E, D
Q. In a set of tasks where A must precede B and C must follow B, which of the following is a correct order?
  • A. B, A, C
  • B. A, C, B
  • C. A, B, C
  • D. C, B, A
Q. In a set of tasks where task J must be completed before task K and task L can be done at any time, which of the following is a valid sequence?
  • A. K, J, L
  • B. J, K, L
  • C. L, J, K
  • D. J, L, K
Q. In a set of tasks where task J must precede task K and task L can occur at any time, which of the following sequences is valid?
  • A. K, J, L
  • B. J, L, K
  • C. L, K, J
  • D. J, K, L
Q. In a set of tasks where task Q must be completed before task R, and task S can be done at any time, which of the following is a valid conclusion?
  • A. R can start before Q.
  • B. S must be completed before Q.
  • C. Q must be completed before R, but S can be done anytime.
  • D. R must be completed before S.
Q. In a shear stress-strain relationship, what does the slope of the linear portion represent?
  • A. Young's modulus
  • B. Shear modulus
  • C. Bulk modulus
  • D. Tensile strength
Q. In a simple cubic lattice, how many atoms are effectively present in one unit cell? (2019)
  • A. 1
  • B. 2
  • C. 4
  • D. 8
Q. In a simple cubic lattice, how many atoms are present in one unit cell? (2019)
  • A. 1
  • B. 2
  • C. 4
  • D. 8
Q. In a simple harmonic motion, if the amplitude is halved, how does the total energy change?
  • A. Remains the same
  • B. Halves
  • C. Doubles
  • D. Quadruples
Q. In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?
  • A. It decreases
  • B. It remains the same
  • C. It increases
  • D. It becomes zero
Q. In a simple harmonic motion, if the displacement is given by x(t) = A cos(ωt + φ), what is the phase constant φ?
  • A. 0
  • B. π/2
  • C. π
  • D. Depends on initial conditions
Q. In a simple harmonic motion, if the mass is increased while keeping the spring constant constant, what happens to the period?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Doubles
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