Multiple choice

A number when divided by 765 leaves a remainder 42. What will be the remainder if the number is divided by 17?

  1. 8

  2. 10

  3. 12

  4. 14
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A Correct answer
Explanation

If a number N = 765q + 42, then N = (17 * 45 * q) + (17 * 2 + 8). Since 765 is a multiple of 17, the remainder when dividing N by 17 is simply the remainder when dividing 42 by 17, which is 8.

AI explanation

Let the number be N, so we can write N as 765k plus 42. Since 765 is perfectly divisible by 17, the remainder entirely depends on 42. Dividing 42 by 17 gives a quotient of 2 and a remainder of 8. The remainder is 8.

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