Multiple choice

On dividing a certain number by 357, the remainder is 39. On dividing the same number by 17, what will be the remainder?

  1. 5

  2. 3

  3. 7

  4. 6
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A Correct answer
Explanation

Let the number be N = 357k + 39. Since 357 = 17 × 21, 357k is divisible by 17. So remainder when N is divided by 17 equals remainder when 39 is divided by 17. 39 ÷ 17 = 2 with remainder 5. Options 3, 6, and 7 are incorrect remainders.

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