Multiple choice

A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is

  1. 1

  2. 3

  3. 9

  4. 8
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C Correct answer
Explanation

Let the number be N = 361k + 47. We want N mod 19. Since 361 = 19 * 19, 361k is divisible by 19. Thus, N mod 19 = 47 mod 19. 47 = 19 * 2 + 9. The remainder is 9.

AI explanation

Let the number be represented as 361k + 47. Because 19 is a factor of 361, the term 361k is completely divisible by 19. When dividing 47 by 19, the quotient is 2 and the remainder is 9. Thus, the remainder obtained is 9.

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