Q92
The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is ?
A.
1120
B.
4714
AnswerC.
5200
D.
5600
Answer: Option B
Solution
Answer: Option B
Solution:
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