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: Option C
Explanation
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.