Multiple choice

On dividing a certain number by 342, we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

  1. 15

  2. 11

  3. 17

  4. 13
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B Correct answer
Explanation

Let the number be N = 342q + 47. We want the remainder when N is divided by 18. Since 342 is a multiple of 18 (342 = 18 * 19), N = 18(19q) + 47. Dividing 47 by 18 gives 18 * 2 + 11, so the remainder is 11.

AI explanation

Since 18 is a direct factor of the divisor 342, we can use the same remainder. Dividing the original remainder 47 by 18 gives a quotient of 2 with a new remainder of 11. Therefore, when the number is divided by 18, the remainder is 11.

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