Multiple choice general knowledge math & puzzles

When a number is divided by 36, it gives the remainder as 19. What would be the remainder if it's divided by 12?

  1. 10

  2. 7

  3. 192

  4. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When a number is divided by 36 and leaves remainder 19, we can write: Number = 36k + 19 for some integer k. Since 36 = 12 × 3, when we divide by 12, we get: Number = 12(3k) + 12 + 7 = 12(3k+1) + 7. Thus the remainder is 7. Option C (192) is incorrect as it's greater than the divisor 12.

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