WAEC Mathematics 2023 Objective — Question 5
Question 5 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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Express 413₇ in base 5.
- A. 1131₅
- B. 1311₅Correct
- C. 2311₅
- D. 2132₅
Explanation
413₇ = 4×7²+1×7+3 = 206₁₀. Converting 206 to base 5: 206=5(41)+1, 41=5(8)+1, 8=5(1)+3, 1=5(0)+1, giving 1311₅.
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