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NECO Mathematics 2025 Objective — Question 25

Question 25 of 60 from the National Examinations Council (NECO) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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Consider the statements: p: Bayo is a footballer, q: Bayo scored a goal. Which option interprets 'Bayo is a mechanic if and only if Bayo did not score a goal'?

  • A. ~p<=>~qCorrect
  • B. ~p=>q
  • C. p=>q

Explanation

'Bayo is a mechanic' can only be true if 'Bayo is a footballer' is not true, giving the biconditional ~p<=>~q.

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