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The smallest number which when divided by 25, 40 and 60 leaves remainder 8 in each case.

(1) 600

(2) 592

(3) 612

(4) 608

1 Answer

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Best answer

Correct option is (4) 608

Prime factorisation of the given numbers

25 = 5 x 5

40 = 2 x 2 x 2 x 5

60 = 2 x 2 x 3 x 5

L.C.M of 25, 40 and 60 = 2 x 2 x 2 x 3 x 5 x 5 = 600

The required number is 8 more than the L.C.M, i.e., 600 + 8 = 608

Therefore, the least number which when divided by 25, 40 and 60 leaves remainder 8 in each case is 608.

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