Multiple choice

Let x be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but x is divisible by 11. The sum of the digit of x is ..........

  1. 5

  2. 6

  3. 9

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

LCM of 8, 9, 12, 14, 36 is 504. Numbers leaving remainder 4 are of form 504k + 4. The values are 508, 1012, 1516, 2020... Checking divisibility by 11: 508 = 11 × 46 + 2 (not divisible), 1012 = 11 × 92 + 0 (divisible). So x = 1012. Sum of digits = 1 + 0 + 1 + 2 = 4.

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