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WAEC Mathematics 2019 Objective — Question 23

Question 23 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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23. If 2ᵃ = √64 and b/a = 3, evaluate a²+b².

  • A. 250
  • B. 160
  • C. 90Correct
  • D. 48

Explanation

2ᵃ=√64=2³ ⇒ a=3. Then b/a=3 ⇒ b=3×3=9. So a²+b² = 3²+9² = 9+81 = 90.

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