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WAEC Mathematics 2023 Objective — Question 19

Question 19 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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Arrange the following numbers in ascending order of magnitude: 110₂, 31₈, 42₅.

  • A. 110₂, 31₈, 42₅
  • B. 110₂, 42₅, 31₈Correct
  • C. 31₈, 42₅, 110₂
  • D. 42₅, 31₈, 110₂

Explanation

Converting to base 10: 110₂=6, 31₈=25, 42₅=22. In ascending order: 110₂(6) < 42₅(22) < 31₈(25).

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