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Question

Quantitative Aptitude Question on Number Systems

What greatest number can be subtracted from 10000, so that the remainder may be divisible by 32, 36, 48

A

1,360

B

8,640

C

9,136

D

9,316

Answer

9,136

Explanation

Solution

LCM of 32, 36, 48 and 54 = 864
Required greatest number = 10,000 - 864
Therefore, Required greatest number = 9136
The correct answer is (C): 9,136