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Question

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

A

99840

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B

99900

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C

99960

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D

99990

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Solution

The correct option is C

99960


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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