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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