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Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?

Correct answer: B. 515

  • A. 420
  • B. 515
  • C. 435
  • D. 518

Explanation

The conditions can be written as n + 10 divisible by 35, 25 and 15, because the remainders are 10 less than their divisors. Their least common multiple is 525, so n = 525k - 10; with k = 1, the least positive value is 515. The likely mistake is option a, which satisfies the first condition but fails the other remainder conditions.

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