Multiple choice

A number when divided by 225 gives a remainder of 32. What will be the remainder when the same number is divided by 15

  1. 4

  2. 3

  3. 2

  4. 1
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C Correct answer
Explanation

If a number N = 225k + 32, then N = 15(15k) + 15(2) + 2. Dividing by 15, the remainder is 2.

AI explanation

Let the unknown number be represented as 225q + 32. To find the remainder when divided by 15, divide this expression by 15, which gives 15 multiplied by 15q plus 32. Because 15q is an integer, the remainder depends solely on dividing 32 by 15. Dividing 32 by 15 gives a remainder of 2. The result is 2.

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