Multiple choice general knowledge math & puzzles

When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is 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

Let the number be N. When divided by 36, remainder is 19, so N = 36k + 19 for some integer k. N = 36k + 19 = 12(3k) + 12 + 7 = 12(3k+1) + 7. When N is divided by 12, the remainder is 7. (192 would mean N > 36, which is incorrect for a remainder).