Multiple choice

When a number is divided by 119, the remainder remains 15. When the same number is divided by 17, What will be the remainder?

  1. 12

  2. 13

  3. 15

  4. 14
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When N divided by 119 gives remainder 15, we write N = 119k + 15. Since 119 = 17 × 7, we can write N = 17(7k) + 15. When divided by 17, the term 17(7k) gives remainder 0, so the final remainder is 15 mod 17 = 15. Answer is 15.

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