Question

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 1

Answer: (B)

4714

Number which is exactly divisible by 20, 28, 32 and 35 should be the common multiple of all these.
$20=2^2\times 5$
$28=2^2\times 7\Rightarrow 32=2^5$
35.=5 $\times$ 7
LCM = $2^5\times 5\times 7=1120$
Hence the greatest number that should be subtracted
=5834-1120 = 4714