Multiple choice

The least number, which when divided by 18, 27, and 36 separately leaves remainder 5, 14, and 23 respectively is

  1. 95

  2. 113

  3. 149

  4. 77

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

Notice the remainders (5, 14, 23) are each 13 less than their divisors (18, 27, 36). So LCM(18, 27, 36) - 13 = 108 - 13 = 95. Checking: 95 ÷ 18 = 5 rem 5, 95 ÷ 27 = 3 rem 14, 95 ÷ 36 = 2 rem 23. All conditions satisfied.