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WAEC Further Mathematics 2008 Question 15

Question 15

Sets and Logic

Two statements are represented by p and q as follows: p: He is brilliant. q: He is regular in class. Which of the following symbols represents the statement "he is regular in class but dull"?

  1. A.q ∨ ~p
  2. B.q ∧ ~p
  3. C.~q ∧ ~p
  4. D.~q ∨ ~p
Show the answer and explanation

Answer: B (q ∧ ~p)

Explanation

'Regular in class' is q, 'dull' is not brilliant (~p), and 'but' means 'and' (∧): q ∧ ~p.