Q. The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is ?
✅ Correct Answer: (B)
4714
Explanation: LCM of (20, 28, 32, 35)
4 × 5 × 7 × 8 = 1120
LCM = (20, 28, 32, 35) = 1120
∴ 1120 divided by 20, 28, 32, 35 completely
∴ Let x be subtracted from 5834
∴ 5834 - x = 1120
⇒ x = 5834 - 1120 = 4714
Explanation by: Brijesh Goswami
LCM of (20, 28, 32, 35)
4 × 5 × 7 × 8 = 1120
LCM = (20, 28, 32, 35) = 1120
∴ 1120 divided by 20, 28, 32, 35 completely
∴ Let x be subtracted from 5834
∴ 5834 - x = 1120
⇒ x = 5834 - 1120 = 4714
4 × 5 × 7 × 8 = 1120
LCM = (20, 28, 32, 35) = 1120
∴ 1120 divided by 20, 28, 32, 35 completely
∴ Let x be subtracted from 5834
∴ 5834 - x = 1120
⇒ x = 5834 - 1120 = 4714