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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

View answer & explanation

Correct answer is C

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

$\frac{387}{8}$ has remainder = 3; $\frac{387}{9}$ has remainder 0.

$\frac{493}{8}$ has remainder 5; $\frac{493}{9}$ has remainder 7.

$\frac{502}{8}$ has remainder 6; $\frac{502}{9}$ has remainder 7.

$\frac{441}{8}$ has remainder 1; $\frac{441}{9}$ has remainder 0.

$\frac{634}{8}$ has remainder 2; $\frac{634}{9}$ has remainder 4.

Hence 502 is the answer.

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