Major Competitive Exams

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Q. If the moment of inertia of a body is doubled, what will happen to its angular momentum if the angular velocity remains constant?
  • A. Doubles
  • B. Halves
  • C. Remains the same
  • D. Quadruples
Q. If the moment of inertia of a body is increased, what happens to its angular acceleration for a constant torque?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. If the mortality rate of a disease is 5% and 2000 people are diagnosed, how many deaths are expected? (2023)
  • A. 50
  • B. 75
  • C. 100
  • D. 125
Q. If the natural frequency of a damped oscillator is 5 rad/s and the damping ratio is 0.2, what is the damped frequency?
  • A. 4.8 rad/s
  • B. 5 rad/s
  • C. 5.2 rad/s
  • D. 5.5 rad/s
Q. If the nth term of a harmonic progression is given by 1/(1/n + 1/a), what does 'a' represent?
  • A. The first term
  • B. The last term
  • C. The common difference
  • D. The sum of the terms
Q. If the nth term of a harmonic progression is given by 1/(1/n + 1/m), what does this represent?
  • A. The average of n and m
  • B. The product of n and m
  • C. The sum of n and m
  • D. The difference of n and m
Q. If the nth term of a harmonic progression is given by 1/n, what is the first term?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If the nth term of a sequence is given by a_n = 5n - 3, what is the value of a_7? (2023)
  • A. 32
  • B. 34
  • C. 36
  • D. 38
Q. If the nth term of a sequence is given by a_n = n^2 + n, what is a_4?
  • A. 20
  • B. 24
  • C. 16
  • D. 18
Q. If the nth term of a sequence is given by n^2 + n, what is the 4th term? (2023)
  • A. 20
  • B. 24
  • C. 30
  • D. 32
Q. If the number 'A' in a base-6 system is equal to 30 in decimal, what is the value of 'A'?
  • A. 50
  • B. 42
  • C. 34
  • D. 30
Q. If the number 'XYZ' in base-5 equals 100 in decimal, what is the value of 'X'?
  • A. 2
  • B. 3
  • C. 4
  • D. 1
Q. If the number 1011 in binary is converted to decimal, what is its value?
  • A. 11
  • B. 10
  • C. 12
  • D. 13
Q. If the number 1011 in binary is converted to decimal, what is the result?
  • A. 11
  • B. 10
  • C. 12
  • D. 13
Q. If the number 1A in hexadecimal is converted to decimal, what is the result?
  • A. 26
  • B. 27
  • C. 28
  • D. 29
Q. If the number 36 is expressed in terms of its prime factors, which of the following is correct?
  • A. 2^2 * 3^2
  • B. 2^3 * 3^1
  • C. 3^2 * 4^1
  • D. 6^2
Q. If the numbers 8, 3, 5, 12, and 7 are given, what is the median? (2022)
  • A. 5
  • B. 7
  • C. 8
  • D. 12
Q. If the numbers are 8, 8, 6, 5, 5, 5, 7, 9, what is the mode?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. If the object distance is equal to the focal length of a convex lens, what is the nature of the image formed?
  • A. Real and inverted
  • B. Virtual and upright
  • C. At infinity
  • D. No image formed
Q. If the object distance is equal to the focal length of a convex lens, what type of image is formed?
  • A. Real and inverted
  • B. Virtual and upright
  • C. At infinity
  • D. No image formed
Q. If the odds in favor of an event are 3:2, what is the probability of the event occurring?
  • A. 0.6
  • B. 0.4
  • C. 0.5
  • D. 0.3
Q. If the order of finishing in a marathon is A, B, C, D, and E, and B finishes before D but after A, who finishes second?
  • A. A
  • B. B
  • C. C
  • D. D
Q. If the order of finishing in a marathon is A, B, C, D, and E, and it is known that A finished before C but after B, and D finished after E, who finished third?
  • A. A
  • B. B
  • C. C
  • D. D
Q. If the order of finishing in a marathon is as follows: John finishes before Mike, but after Sarah. Tom finishes after Mike. Who finishes first?
  • A. John
  • B. Mike
  • C. Sarah
  • D. Tom
Q. If the order of finishing in a marathon is as follows: John, Mike, Sarah, and Tom, who finished second? (2023)
  • A. John
  • B. Mike
  • C. Sarah
  • D. Tom
Q. If the order of finishing in a marathon is as follows: Runner A finishes before Runner B, Runner C finishes after Runner A but before Runner D, and Runner E finishes last. Who finishes third?
  • A. A
  • B. B
  • C. C
  • D. D
Q. If the osmotic pressure of a solution is 3.0 atm at 25 °C, what is the molarity of the solution? (R = 0.0821 L atm/(K mol))
  • A. 0.12 M
  • B. 0.15 M
  • C. 0.18 M
  • D. 0.20 M
Q. If the osmotic pressure of a solution is 3.0 atm, what is the molarity of the solution? (R = 0.0821 L atm/(K mol), T = 298 K)
  • A. 0.12 M
  • B. 0.15 M
  • C. 0.10 M
  • D. 0.20 M
Q. If the pair of lines represented by ax^2 + 2hxy + by^2 = 0 are perpendicular, then:
  • A. a + b = 0
  • B. a - b = 0
  • C. h = 0
  • D. a = b
Q. If the pair of lines represented by the equation ax^2 + 2hxy + by^2 = 0 are perpendicular, then:
  • A. a + b = 0
  • B. a - b = 0
  • C. h = 0
  • D. a = b
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