WAEC Mathematics 2023 Question 5

Question 5

Number Bases

Express 4137 in base 5.

  1. A.11315
  2. B.13115
  3. C.23115
  4. D.21325
Show the answer and explanation

Answer: B (13115)

Explanation

4137 = 4 × 49 + 1 × 7 + 3 = 206. Dividing 206 repeatedly by 5 gives remainders 1, 1, 3, 1, so 206 = 13115.