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WAEC Mathematics 2015 Question 2

Question 2

Number Bases

The sum of 110112, 111112 and 100002 is 10m10n02. Find the values of m and n.

  1. A.m = 0, n = 0
  2. B.m = 1, n = 0
  3. C.m = 0, n = 1
  4. D.m = 1, n = 1
Show the answer and explanation

Answer: C (m = 0, n = 1)

Explanation

In base ten the sum is 27 + 31 + 16 = 74 = 10010102. Matching 10m10n0 gives m = 0 and n = 1.