The greatest number which when subtracted from 5834 gives a number...

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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

Answer: Option B

Solution (By Examveda Team)

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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The greatest number which when subtracted from 5834 gives a number...

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

Solution (By Examveda Team)

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