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The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is___________?

Correct answer: D. 995

  • A. 982
  • B. 893
  • C. 1024
  • D. 995

Explanation

Test the congruences for 995: 995 = 16 x 62 + 3, 995 = 18 x 55 + 5, and 995 = 21 x 47 + 8. Hence it leaves the required remainders and is the least listed solution. The likely distractor is 1024, a square number, but 1024 leaves remainder 0 when divided by 16 rather than 3.

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