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
• E. 2316

Answer 1

The correct option is B 4714

Number divisible by 20, 28, 32 and 35 is L.C.M. of these numbers
$20=4\times 528=4\times 732=5\times 4\times 235=4\times 7$
L.C.M.$=4\times 5\times 7\times 8=1120$
Required number $=5834-1120=4714$