JAMB Mathematics 2004 Question 2

Question 2

Number Bases

Find p, if 4516 − p7 = 3056.

  1. A.6117
  2. B.1427
  3. C.1167
  4. D.627
Show the answer and explanation

Answer: C (1167)

Explanation

4516 = 175 and 3056 = 113 in base ten, so p = 62. In base seven, 62 = 1 × 49 + 1 × 7 + 6 = 1167.