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WAEC Mathematics 2000 Question 4

Question 4

Number Bases

Find the missing number in the addition of the following numbers, in base seven.
4321 + 1234 + **** = 12341

  1. A.3453
  2. B.5556
  3. C.6016
  4. D.13453
Show the answer and explanation

Answer: A (3453)

Explanation

In base ten: 123417 = 3263, 43217 = 1534, 12347 = 466. The missing number is 3263 − 2000 = 1263 = 34537.