Question 84

What is the least number which whensubtracted from 3000 is exactly divisible by 7. 11, 13 ?

Solution

Take L.C.M. of 7, 11, 13

L.C.M. (7, 11, 13) = 1001

3000 = 1001 x m + k (where k is remainder)

Put value of m = 2

3000 = 1001 x 2 + k

3000 = 2002 + k

k = 998

So, the least number which when subtracted from 3000 is exactly divisible by 7, 11, 13.

Hence, option D is correct.

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