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The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is :

5407Medium 2 replies 1,083 views
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CCommunity
This question was asked some where in previous year papers of ssc, and correct answer was 10080
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CCommunity
LCM of $3, 4, 5, 6, 7, 8 = 840$

Since, the remainder $760$ is more than half of the divisor $840$.

The nearest number $= 10000 + (840 – 760) = 10080$