JAMB Mathematics 2005 Question 2

Question 2

Number Bases

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

  1. A.0
  2. B.1
  3. C.2
  4. D.3
Show the answer and explanation

Answer: C (2)

Explanation

3214 = 57 and 234 = 11 in base ten. 57 = 5 × 11 + 2, so r = 2.