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MCQ Practice

Mathematics MCQs

If errors of 5% and 3% are made in measuring the sides of a rectangle, what is the percentage error in the area?

  • A. 8.35%
  • B. 7.15%
  • C. 8.15%
  • D. 6.25%
Explanation:
Total error ≈ 5 + 3 + (5×3)/100 = 8.15%.

In how many ways can 3 consonants and 2 vowels be selected from a word?

  • A. 25
  • B. 13
  • C. 40
  • D. 30
Explanation:
Combination selection gives 30.

In how many ways can 5 boys and 3 girls sit in a row such that all boys sit together?

  • A. 4800
  • B. 5760
  • C. 2880
  • D. 15000
Explanation:
Treat boys as one unit → 4!×5! = 2880.

In how many ways can 5 men and 2 women be selected from 7 people?

  • A. 63
  • B. 90
  • C. 126
  • D. 45
Explanation:
Total ways = 2⁷ − 1 combinations adjusted → 63.

In how many ways can the letters of the word “OPTICAL” be arranged so that vowels are together?

  • A. 120
  • B. 720
  • C. 4320
  • D. 2160
Explanation:
Treat vowels as one unit → 4!×3! = 720.

In how many ways can the letters of the word “MATHEMATICS” be arranged?

  • A. 10080
  • B. 4989600
  • C. 120960
  • D. None of these
Explanation:
Total permutations = 11!/(2!2!2!) = 120960.

How many ways can 6 players be arranged?

  • A. 120
  • B. 240
  • C. 360
  • D. 720
Explanation:
6! = 720.

How many ways can 4 books be arranged?

  • A. 9
  • B. 12
  • C. 24
  • D. 18
Explanation:
4! = 24.

Find HCF of two numbers if last divisor is 41 and next is ____.

  • A. 700,400
  • B. 820,360
  • C. 800,500
  • D. 820,369
Explanation:
Euclid’s method leads to these values.

A pond of 20m × 10m × 5m is dug. Volume of soil removed is ____.

  • A. 100 cu.m
  • B. 1000 cu.m
  • C. 10000 cu.m
  • D. 2000 cu.m
Explanation:
Volume = 20×10×5 = 1000 cu.m.