Multiple choice

A certain number when divided by 51 leaves the remainder 35. What will be the remainder if the same number is divided by 17?

  1. 1

  2. 2

  3. 3

  4. 16
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A Correct answer
Explanation

If N = 51k + 35, then N = 17(3k) + 17(2) + 1. Thus, N = 17(3k + 2) + 1. The remainder when divided by 17 is 1.

AI explanation

Let the number be expressed as 51k + 35. Since 17 is a factor of 51, the term 51k is completely divisible by 17. The only remainder comes from dividing 35 by 17, which results in a quotient of 2 and a remainder of 1. Therefore, the remainder is 1.

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