WAEC Mathematics 2022 Objective — Question 15
Question 15 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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Consider the statements: p: Stephen is intelligent q: Stephen is good at Mathematics If p⟹q, which of the following is a valid conclusion?
- A. If Stephen is good at Mathematics, then he is intelligent
- B. If Stephen is not good at Mathematics, then he is not intelligentCorrect
- C. If Stephen is not intelligent, then he is not good at Mathematics
- D. If Stephen is not good at Mathematics, then he is intelligent
Explanation
For a conditional p⟹q, the valid (equivalent) conclusion is the contrapositive: ¬q⟹¬p, i.e. 'If Stephen is not good at Mathematics, then he is not intelligent.'
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