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The smallest number such that when it is divided by 8 h...

The smallest number such that when it is divided by 8 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is

A.

387

B.

493

C.

502

D.

441

E.

634

Correct answer is C

Possible multiples of 8 and 9 = 72, 144, 216, 288, 360, 432, 576, 648.

3878 has remainder = 3; 3879 has remainder 0.

4938 has remainder 5; 4939 has remainder 7.

5028 has remainder 6; 5029 has remainder 7.

4418 has remainder 1; 4419 has remainder 0.

6348 has remainder 2; 6349 has remainder 4.

Hence 502 is the answer.