JAMB Mathematics 1998 Question 1

Question 1

Number Bases

If 10112 + X7 = 2510, solve for X

  1. A.14
  2. B.20
  3. C.24
  4. D.25
Show the answer and explanation

Answer: B (20)

Explanation

1011₂ = 8 + 2 + 1 = 11, so X₇ must equal 25 − 11 = 14 in base ten. 14 = 2 × 7 + 0, which is 20 in base 7.