JAMB Mathematics 1986 Question 1

Question 1

Number Bases

Evaluate (212)3 − (121)3 + (222)3

  1. A.(313)3
  2. B.(1000)3
  3. C.(1020)3
  4. D.(1222)3
Show the answer and explanation

Answer: C ((1020)3)

Explanation

In base ten: 212₃ = 23, 121₃ = 16 and 222₃ = 26, so the value is 23 − 16 + 26 = 33. 33 = 27 + 6 = 1020₃.