Multiple choice

A number when divided by 342 gives a remainder 47 When the same number is divided by 19 what would be the remainder?

  1. 3

  2. 5

  3. 9

  4. None of these
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C Correct answer
Explanation

Let the number be N = 342k + 47. We want N mod 19. Since 342 = 19 * 18, 342k is divisible by 19. Thus, N mod 19 = 47 mod 19. 47 = 19 * 2 + 9, so the remainder is 9.

AI explanation

Using the division algorithm, the number can be written as 342 multiplied by a quotient plus 47. Because 342 is a multiple of 19, dividing the first part by 19 leaves no remainder. Divide 47 by 19 to get a quotient of 2 and a remainder of 9. Therefore, the final remainder is 9.

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