Find the greatest number of five digits, which is exactly divisible by 7, 10,1

Question

Find the greatest number of five digits, which is exactly divisible by 7, 10,14, 15, 21 and 28.

Options:

A . 99840

B . 99900

C . 99960

D . 99990

Answer: Option C
:
C
The number should be exactly divisible by 14(7,2),15 (3, 5), 21 (3, 7), 28 (4, 7).
Hence, it is enough to check the divisibility for 3, 4, 5 and 7.

Only (c) is divisible by all.

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