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JAMB Mathematics 1984 Question 2

Question 2

Number Bases

If 263 + 441 = 714, what number base has been used?

  1. A.12
  2. B.11
  3. C.10
  4. D.9
  5. E.8.
Show the answer and explanation

Answer: D (9)

Explanation

Units: 3 + 1 = 4. Next column: 6 + 4 = 10 is written as 1 carry 1, so 10 = base + 1 and the base is 9. Check: 2 + 4 + 1 = 7.