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The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

Correct answer: C. 23

  • A. 3
  • B. 13
  • C. 23
  • D. 33

Explanation

The required sum must be divisible by LCM(5, 6, 4, 3) = 60. Since 2497 = 60 x 41 + 37, the least addition is 60 - 37 = 23, giving 2520, which is divisible by all four numbers. The likely mistake is choosing 3 by checking divisibility by 5 alone rather than by their common multiple.

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