Multiple choice

When a positive integer N is divided by 60, the remainder is 49. Find the remainder when N is divided by 15.

  1. 0

  2. 3

  3. 4

  4. 5
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C Correct answer
Explanation

N = 60k + 49. To find the remainder when divided by 15, we write N = 15(4k) + 45 + 4. Thus, N = 15(4k + 3) + 4. The remainder is 4.

AI explanation

Since N leaves a remainder of 49 when divided by 60, we can write N as 60k plus 49. To find the remainder when dividing by 15, we divide the expression by 15. The term 60k is exactly divisible by 15, so we only need to divide 49 by 15. Dividing 49 by 15 gives a quotient of 3 and a remainder of 4.

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