JAMB Mathematics 2006 Question 20

Question 20

Number Bases

If (k2)6 × 36 = 35(k4)5, what is the value of k?

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

Answer: D (2)

Explanation

In base ten: (6k + 2) × 3 = 3 × (5k + 4), so 18k + 6 = 15k + 12 and k = 2.