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Police & Uniformed Services Mathematics MCQs with Answers

85 practice MCQs on Mathematics for Police & Uniformed Services tests. Think of your answer first, then open "Show answer and explanation". These are practice questions, not official examination papers.

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Q11. Find the roots of x^2 - 11x + 28 = 0.

  1. 7 and 5
  2. 7 and 4
  3. 8 and 4
  4. -7 and -4
Show answer and explanation

Correct answer: B. 7 and 4

The equation factors as (x-7)(x-4) = 0.

Q12. A number 100 is increased by 10%. What is the new number?

  1. 120
  2. 90
  3. 100
  4. 110
Show answer and explanation

Correct answer: D. 110

100 x (100+10)/100 = 110.

Q13. What is the circumference of a circle of radius 21 cm? (use pi = 22/7)

  1. 153
  2. 132
  3. 1386
  4. 66
Show answer and explanation

Correct answer: B. 132

Circumference = 2 pi r = 132.

Q14. What is the average of 46, 17, 46, 33, 23?

  1. 35
  2. 33
  3. 32
  4. 34
Show answer and explanation

Correct answer: B. 33

Sum = 165; average = 165/5 = 33.

Q15. What is the sum of interior angles of a polygon with 12 sides?

  1. 1800 degrees
  2. 1980 degrees
  3. 2160 degrees
  4. 1890 degrees
Show answer and explanation

Correct answer: A. 1800 degrees

Sum = (n-2) x 180 = 1800.

Q16. Find the area of a rectangle with length 11 cm and breadth 6 cm (in sq cm).

  1. 77
  2. 60
  3. 34
  4. 66
Show answer and explanation

Correct answer: D. 66

Area = l x b = 66.

Q17. What is the square root of 169?

  1. 14
  2. 13
  3. 12
  4. 15
Show answer and explanation

Correct answer: B. 13

13 x 13 = 169, so the root is 13.

Q18. Find the area of a triangle with base 14 cm and height 7 cm (in sq cm).

  1. 98
  2. 21
  3. 56
  4. 49
Show answer and explanation

Correct answer: D. 49

Area = 1/2 x base x height = 49.

Q19. What is 42 x 12?

  1. 554
  2. 474
  3. 464
  4. 504
Show answer and explanation

Correct answer: D. 504

42 x 12 = 504.

Q20. What is 60% of 400?

  1. 235
  2. 250
  3. 480
  4. 240
Show answer and explanation

Correct answer: D. 240

60% of 400 = 60/100 x 400 = 240.

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