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The smallest number such that when it is divided by 8 has a remainder of 6…

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.