Railway Recruitment Board Mathematics — Question 1688

Question

A number when divided by 342 leaves a remainder of 47. When the same number is divided by 19, what is the remainder?

  1. 3
  2. 9
  3. 5
  4. 7

Correct answer

B — 9

Explanation (English)

342 = 19 × 18, so the number = 342k + 47 = 19(18k) + 47. Remainder on dividing by 19 = 47 mod 19 = 47 − 38 = 9.

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