Multiple choice

A number when divided by 56, the remainder is 29. If the number is divided by 8, then the remainder is -

  1. 5

  2. 6

  3. 7

  4. 9
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A Correct answer
Explanation

Any number that leaves remainder 29 when divided by 56 can be written as 56k + 29 for some integer k. When this number is divided by 8, we get 8(7k + 3) + 5, so the remainder is 5. This works because 56 itself is a multiple of 8, so only 29 contributes to the remainder.

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