Multiple choice

A number when divided by 238, leaves a remainder 79. What will be the remainder when that number is divided by 17?

  1. 8

  2. 9

  3. 10

  4. 11
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D Correct answer
Explanation

Let the number be N = 238k + 79. We want N mod 17. Since 238 = 17 * 14, 238k is divisible by 17. So N mod 17 = 79 mod 17. 79 = 17 * 4 + 11. Remainder is 11.

AI explanation

Let the unknown number be N, so we can write N as 238k + 79 for some integer k. Because 238 is a multiple of 17, the remainder of N upon division by 17 depends entirely on the remainder of 79 divided by 17. Dividing 79 by 17 yields a quotient of 4 and a remainder of 11.

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