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Meghalaya Police Service Preliminary Examination 2022 - Multiple Subjects — question paper

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Meghalaya Police Service Preliminary Examination 2022 - Multiple Subjects

Paper #3169 · 17-12-2022 · Multiple subjects · 514 reviewed questions · Showing 401–440 of 514

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  1. In computer fundamentals, a computer program is best described as:
    1. A sequence of instructions that directs a computer to perform a task
    2. A device that stores data and files
    3. A device that executes instructions
    4. A set of physical components inside a computer
  2. Convert the binary number 111₂ to base 8.
    1. 6
    2. 7
    3. 8
    4. 5
  3. Convert (22)₈ to decimal.
    1. 28
    2. 18
    3. 81
    4. 82
  4. Which of the following is not a standard way to express an algorithm?
    1. Pseudocode
    2. Syntax rules
    3. A flowchart
    4. A program written in a programming language
  5. What is the radix (base) of the binary number system?
    1. 2
    2. 8
    3. 10
    4. 1
  6. When an algorithm is implemented in a programming language, the resulting code is called a:
    1. Program
    2. Flowchart
    3. Pseudocode
    4. Syntax rules
  7. Write decimal 10 in binary.
    1. 1001
    2. 1100
    3. 1010
    4. 1110
  8. Convert binary 10101₂ to decimal.
    1. 21
    2. 12
    3. 22
    4. 31
  9. In the standard computer convention, one byte contains:
    1. 8 bits
    2. 16 bits
    3. 4 bits
    4. 2 bits
  10. The three basic control structures used to express algorithms are:
    1. Sequence, selection, and repetition
    2. Input, output, and storage
    3. Start, process, and stop
    4. Declaration, assignment, and compilation
  11. Why is (ℝ, ×), the real numbers under usual multiplication, not a group?
    1. Multiplication is not a binary operation
    2. Multiplication is not associative
    3. Identity element does not exist
    4. Zero does not have inverse
  12. In the multiplicative group G = {1, −1, i, −i}, what is the inverse of −i?
    1. 1
    2. -1
    3. -i
    4. i
  13. If f(2)=4 and f'(2)=4, then lim as x→2 of [x f(2)-2f(x)]/(x-2) is
    1. 2
    2. -2
    3. -4
    4. 4
  14. Using the natural logarithm, evaluate lim as x→1 of (x−1)/ln x.
    1. 0
    2. -1
    3. 1
    4. Does not exist
  15. For real x, the infinite series 1 + x/1! + x²/2! + x³/3! + ⋯ converges:
    1. Converges only for x>0
    2. Converges only for x<0
    3. Converges only for x<1
    4. Converges for all values of x
  16. The section of the sphere x²+y²+z²-4x+6y-7z=13 by the plane 3x-2y+z=0 is
    1. A great circle
    2. A small circle
    3. A point
    4. None of these
  17. For positive integers n, define aₙ = (−1)ⁿ(n−1)/n. Which statement describes the sequence {aₙ}?
    1. Converges to 1
    2. Is oscillatory
    3. Converges to 0
    4. None of these
  18. Classify the alternating harmonic series 1 − 1/2 + 1/3 − 1/4 + ⋯:
    1. Is absolutely convergent
    2. Is divergent
    3. Is conditionally convergent
    4. None of these
  19. For positive integers n, evaluate lim as n→∞ of (1³ + 2³ + ⋯ + n³)/n⁴.
    1. −1/4
    2. 1/4
    3. 0
    4. Does not exist
  20. Find the acute angle between the planes 4x−4y+7z=5 and 2x+y+2z=7.
    1. 30°
    2. 45°
    3. 60°
    4. cos⁻¹(2/3)
  21. The area bounded by y=x and y=x² is
    1. 1 sq unit
    2. 1/6 sq unit
    3. 1/3 sq unit
    4. 1/2 sq unit
  22. If G is a finite group of prime order, then
    1. G is cyclic
    2. G is abelian but not cyclic
    3. G is non-abelian
    4. G is non-cyclic
  23. Let G be a cyclic group of order 8 generated by a. What is the order ord(a) of a?
    1. 8
    2. 4
    3. 2
    4. 1
  24. For nonzero real constants a and b, the equation a²(y²+z²)=b²x² represents which surface?
    1. A double right circular cone with axis along the x-axis
    2. A right circular cylinder with axis along the x-axis
    3. A sphere centered at the origin
    4. A circular paraboloid with axis along the x-axis
  25. Two thin converging lenses of power 5D and 4D are placed coaxially at a distance of 10 cm apart. The power of the combination is -
    1. -7D
    2. +7D
    3. -9D
    4. +9D
  26. Which of the following pairs of physical quantities are dimensionally identical?
    1. Linear momentum and Angular momentum
    2. Stress and Strain
    3. Surface Tension and Spring Constant
    4. Velocity gradient and Velocity
  27. A light inextensible string passing over a smooth pulley is attached to two blocks of masses M₁ and M₂ vertically. If the net acceleration of the system is g/8, then the ratio of the masses M₁ : M₂ is
    1. 9 : 7
    2. 5 : 3
    3. 4 : 3
    4. 8 : 1
  28. A cricket ball projected with a horizontal velocity of 10 ms⁻¹ from the top of a building and a stone just dropped from the same point take t₁ and t₂ seconds respectively to reach the ground. Assuming negligible air resistance, which of the following is true?
    1. t₁ < t₂
    2. t₁ > t₂
    3. t₁ = t₂
    4. 10t₁ = t₂
  29. A solid sphere and a thin spherical shell having the same mass and radius are rotating with the same angular velocity about their diameters. What is the ratio of their rotational kinetic energies?
    1. 3 : 4
    2. 3 : 5
    3. 3 : 2
    4. 1 : 1
  30. The escape velocity from the surface of the earth is approximately equal to
    1. 11.2 m/s
    2. 11.2 km/s
    3. 11.2 km/hour
    4. 11.2 km/min
  31. According to mass energy relation the energy equivalent to the rest mass of an electron is
    1. 0.51 eV
    2. 0.51 KeV
    3. 0.51 MeV
    4. 0.51 GeV
  32. The motion of a particle executing simple harmonic motion is represented by 3a + 12x = 0, where a and x represent the corresponding acceleration and the displacement of the particle respectively. What is the time period of the simple harmonic motion in sec?
    1. 3.14
    2. 6.28
    3. 31.4
    4. 62.8
  33. Given the mass, angular frequency and the amplitude of a particle executing SHM to be m, ω and A respectively, what is the maximum kinetic energy of the moving particle?
    1. 2mωA²
    2. 2mω²A²
    3. mω²A²
    4. mω²A²/2
  34. The focal lengths of the objective and the eyelens in an astronomical telescope are fₒ and fₑ respectively. If the telescope is adjusted for normal focusing, it's magnifying power is
    1. -(fₒ/fₑ)
    2. (fₒfₑ)
    3. (fₒ/2fₑ)
    4. (fₒ+fₑ)
  35. Which of the following power of convex lenses will be most suitable for a simple microscope?
    1. +10 D
    2. +8 D
    3. +5 D
    4. +2 D
  36. In a single slit diffraction pattern, the width of the central maxima and the width of the secondary maxima are in the ratio of
    1. 1 : 1
    2. 2 : 1
    3. 1 : 2
    4. 3 : 2
  37. The width of the central maximum of the single slit diffraction pattern is related to the slit width d in the following way -
    1. w is directly proportional to d
    2. w is inversely proportional to d
    3. w is directly proportional to d²
    4. w is inversely proportional to d²
  38. The ratio of the widths of the 1st and the 2nd secondary maxima in a single slit diffraction pattern is
    1. 1 : 2
    2. 2 : 1
    3. 4 : 1
    4. 1 : 1
  39. If μ and φₚ represent the refractive index of a transparent medium and the polarizing angle with respect to air respectively, then according to Brewster's Law
    1. μ = tan φₚ
    2. μ = 1/tan φₚ
    3. μ = tan² φₚ
    4. μ = cos φₚ
  40. In a Young's double slit experiment the maximum and the minimum intensities are found to be in the ratio 36 : 1. What will be the ratio of the amplitudes?
    1. 6 : 1
    2. 1 : 6
    3. 7 : 5
    4. 4 : 7

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