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WAEC Mathematics 2017 Question 33

Question 33

Number Bases

In what number base was the addition 1 + nn = 100, where n > 0, done?

  1. A.n − 1
  2. B.n
  3. C.n + 1
  4. D.n + 2
Show the answer and explanation

Answer: C (n + 1)

Explanation

In base b: 1 + nb + n = b², so n(b + 1) = (b − 1)(b + 1) and b = n + 1.