Major Competitive Exams

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Q. In a scheduling scenario, if task F is dependent on tasks G and H, which of the following is a correct statement?
  • A. F can start before G and H
  • B. G and H must be completed before F
  • C. F can be completed at any time
  • D. H is independent of F
Q. In a scheduling scenario, if task F must be completed before task G and task H can be done at any time, which of the following is true?
  • A. H must be done before F.
  • B. G can start before F.
  • C. F must be done before H.
  • D. G cannot start until F is done.
Q. In a scheduling scenario, if task J must be completed before task K, and task L can be done at any time, which of the following is true?
  • A. K can start before J.
  • B. L must be completed before J.
  • C. J must be completed before K, but L can be done anytime.
  • D. K must be completed before L.
Q. In a scheduling scenario, if task X must be completed before task Y, and task Y must be completed before task Z, which of the following sequences is valid?
  • A. Z, Y, X
  • B. X, Y, Z
  • C. Y, Z, X
  • D. Z, X, Y
Q. In a scheduling scenario, if task X must be completed before task Y, and task Y must be completed before task Z, which of the following is a valid inference?
  • A. X can start after Y
  • B. Z can start before Y
  • C. Y can start after X
  • D. Z must start after X
Q. In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit next to B, and C must sit between D and E, which of the following arrangements is valid?
  • A. A, C, D, E, B
  • B. B, A, C, E, D
  • C. D, C, E, A, B
  • D. C, D, A, B, E
Q. In a scheduling set involving five tasks A, B, C, D, and E, if task A must be completed before task B, and task C must be completed before task D, which of the following is a valid sequence?
  • A. A, B, C, D, E
  • B. C, D, A, B, E
  • C. B, A, D, C, E
  • D. E, A, C, D, B
Q. In a scheduling set involving four tasks A, B, C, and D, if task A must be completed before task B, and task C cannot start until task D is finished, which of the following sequences is valid?
  • A. A, B, C, D
  • B. D, C, A, B
  • C. B, A, D, C
  • D. C, D, A, B
Q. In a scheduling set, if task E can only start after both tasks A and D are completed, which of the following is a possible order?
  • A. A, D, E, B, C
  • B. D, A, B, C, E
  • C. E, A, D, B, C
  • D. B, C, A, D, E
Q. In a scheduling set, if task E can only start after task D and task D can only start after task C, which of the following is a valid order?
  • A. C, D, E, A
  • B. D, C, E, A
  • C. E, D, C, A
  • D. A, C, D, E
Q. In a scheduling set, if task E must be completed before task D, and task D must be completed before task C, which of the following sequences is valid?
  • A. C, D, E
  • B. E, D, C
  • C. D, C, E
  • D. E, C, D
Q. In a scheduling set, if task G must be completed before task H, and task H must be completed before task I, which of the following sequences is invalid?
  • A. G, H, I
  • B. H, G, I
  • C. G, I, H
  • D. I, H, G
Q. In a scheduling set, if task J can only start after task K is completed, which of the following is a valid conclusion?
  • A. K can start after J
  • B. J can start at any time
  • C. K must be completed before J
  • D. J is independent of K
Q. In a school, the ratio of teachers to students is 1:20. If there are 1000 students, how many teachers are there?
  • A. 50
  • B. 40
  • C. 60
  • D. 30
Q. In a second-order reaction, if the initial concentration is 0.1 M and the rate constant is 0.05 M⁻¹s⁻¹, what is the time taken to reach half the initial concentration? (2020)
  • A. 10 s
  • B. 20 s
  • C. 5 s
  • D. 15 s
Q. In a security drill, 60% of the participants were from the police department. If there were 200 participants, how many were from the police department?
  • A. 100
  • B. 120
  • C. 130
  • D. 150
Q. In a seesaw, if one child exerts a force of 30 N at a distance of 1.5 m from the pivot, what is the torque produced by this child?
  • A. 15 Nm
  • B. 30 Nm
  • C. 45 Nm
  • D. 60 Nm
Q. In a seesaw, if one child exerts a force of 30 N at a distance of 2 m from the pivot, what is the torque exerted by that child?
  • A. 15 Nm
  • B. 30 Nm
  • C. 60 Nm
  • D. 0 Nm
Q. In a seesaw, if one child exerts a torque of 30 N·m on one side, what torque must the other child exert to balance it?
  • A. 15 N·m
  • B. 30 N·m
  • C. 45 N·m
  • D. 60 N·m
Q. In a semiconductor, what happens to the conductivity as temperature increases? (2021)
  • A. Decreases
  • B. Increases
  • C. Remains constant
  • D. Becomes zero
Q. In a semiconductor, what is the term for the energy required to move an electron from the valence band to the conduction band?
  • A. Ionization energy
  • B. Band gap energy
  • C. Thermal energy
  • D. Activation energy
Q. In a sequence defined by a_n = 2^n, what is the 5th term?
  • A. 16
  • B. 8
  • C. 32
  • D. 4
Q. In a sequence defined by a_n = 2^n, what is the value of a_5?
  • A. 32
  • B. 16
  • C. 64
  • D. 8
Q. In a sequence defined by a_n = 3n + 1, what is the value of a_7? (2023)
  • A. 22
  • B. 21
  • C. 20
  • D. 19
Q. In a sequence defined by a_n = 3n + 2, what is the value of a_7? (2023)
  • A. 23
  • B. 20
  • C. 19
  • D. 21
Q. In a sequence defined by a_n = n^2 + n, what is the value of a_5? (2023)
  • A. 30
  • B. 25
  • C. 20
  • D. 15
Q. In a sequence defined by the formula a_n = 3n + 2, what is the value of a_7? (2023)
  • A. 23
  • B. 20
  • C. 19
  • D. 21
Q. In a sequence of numbers where each number is a multiple of 3, which of the following cannot be a member of this sequence?
  • A. 9
  • B. 15
  • C. 22
  • D. 27
Q. In a sequence of numbers where each number is a multiple of 7, which of the following could be the 5th number in the sequence?
  • A. 28
  • B. 35
  • C. 42
  • D. 49
Q. In a sequence of numbers where each number is a multiple of 8, which of the following could be the 5th number in the sequence?
  • A. 32
  • B. 40
  • C. 56
  • D. 72
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