Multiple choice

When a number is divided by 119, the remainder is 24. What will the remainder be if the same number is divided by 17?

  1. 6

  2. 7

  3. 5

  4. 8

  5. None of these
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B Correct answer
Explanation

If a number N = 119q + 24, then N = (17 * 7)q + (17 + 7). Thus N = 17(7q + 1) + 7. The remainder when divided by 17 is 7.

AI explanation

Let the number be N, which can be expressed as N = 119k + 24 for some integer k. Factoring the divisor, we know 119 is a multiple of 17, allowing us to rewrite the equation as N = 17(7k) + 17 + 7. This simplifies to 17(7k + 1) + 7, meaning dividing N by 17 leaves a remainder of 7.

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