The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is ?

Brijesh Goswami • 9.45K Points
Tutor III Math

Q. 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
(C) 5200
(D) 5600

Correct Answer - Option(B)

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

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