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Question

The least number which when decreased by 7 is exactly divisible by 12, 16, 18, 21 and 28 is

A
1,012
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B
1,008
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C
1,015
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D
1,022
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Solution

The correct option is C 1,015
|212,16,18,21,––––––––––––––28
|76,8,9,21,––––––––––14
|36,8,9,3,2––––––––––
|22,8,3,1,2––––––––––
|1,4,3,1,1–––––––––
LCM=2×7×3×2×4×3=1008
Required number =1008+7=1015.

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