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State PCS PYQPrelims 2022

BPSC – Combined Competitive Examination · Question 86

How many numbers between 100 and 500 are divisible by 4, 5 and 6?

  1. 6
  2. 7
  3. 8
  4. 5
  5. None of the above / More than one of the above
Show answer & explanation

Answer: (B) 7

Explanation

LCM(4, 5, 6) = 60; multiples of 60 between 100 and 500 are seven.

  • (A) Incorrect

    Wrong: there are 7 multiples of 60.

  • (B) Correct

    Correct: multiples of LCM 60: 120, 180, 240, 300, 360, 420, 480 = 7.

  • (C) Incorrect

    Wrong: too many.

  • (D) Incorrect

    Wrong: too few.

  • (E) Incorrect

    Wrong: only one of the options A–D is correct.