Multiple choice

When 952 divides a number, the remainder left is 124. Find the remainder left if 68 divides the same number.

  1. 14

  2. 26

  3. 40

  4. 56

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D Correct answer
Explanation

Let the number be N = 952q + 124. Since 952 is a multiple of 68 (952 = 68 * 14), we can write N = 68(14q) + 124. Dividing 124 by 68 gives 124 = 68 * 1 + 56. Thus, the remainder is 56.

AI explanation

Let the unknown number be N, which can be written as 952k plus 124. Since 952 is exactly divisible by 68, the remainder of N divided by 68 depends entirely on dividing 124 by 68. Dividing 124 by 68 gives a quotient of 1 and a remainder of 56. The required remainder is 56.

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