JAMB Mathematics 1978 Question 50

Question 50

Fractions, Decimals and Approximation

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

  1. A.387
  2. B.493
  3. C.502
  4. D.441
  5. E.634.
Show the answer and explanation

Answer: C (502)

Explanation

Such a number is 2 less than a multiple of 72 (70, 142, …, 502). Checking the options, only 502 = 8 × 62 + 6 = 9 × 55 + 7 works.