Multiple choice

The smallest number which is divided when by 18, 27 and 36, the remainders obtained are 5, 14 and 23 respectively

  1. 93

  2. 94

  3. 95

  4. 96

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

LCM(18,27,36) = 108. Notice remainders: 18-5=13, 27-14=13, 36-23=13. All remainders are 13 less than divisors. So answer = LCM - 13 = 108 - 13 = 95. Checking: 95/18=5R5, 95/27=3R14, 95/36=2R23.