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Question

Find the least multiple of 11 which when divided by 8, 9, 12, 14 leaves 4 as remainder in each case.

A
1012
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B
1037
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C
1090
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D
None of these
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Solution

The correct option is A 1012
The number is divisible by 11 and can be written in form n(LCM) + 4, LCM of 8, 9, 12, 14 is 504
So the number may be 508 & 1012 but 508 is not divisible by 11 so it is 1012

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