Multiple choice

A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16?

  1. 2

  2. 4

  3. 6

  4. 8
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C Correct answer
Explanation

When a number N divided by 192 gives remainder 54, we can write N = 192k + 54. Since 192 is exactly divisible by 16 (192 = 16 × 12), the term 192k contributes 0 remainder when divided by 16. Therefore, the final remainder is simply 54 mod 16. 54 = 16 × 3 + 6, so the remainder is 6.

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