Multiple choice

Find the least number which when divided by 24, 30 and 54 leaves 5 as remainder in each case.

  1. 989

  2. 1085

  3. 1110

  4. 1256

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

Find LCM of 24, 30, 54 = 1080. The required number leaves remainder 5, so number = LCM × k + 5. For k=1: 1085. Check: 1085 ÷ 24 = 45R5, 1085 ÷ 30 = 36R5, 1085 ÷ 54 = 20R5. So 1085 is the least such number.