passwella.
Menu

WAEC Mathematics 2017 Question 42

Question 42

Logic

Consider the statments: p: it is hot. q: it is raining. Which of the following symbols correctly represents the statement "It is raining if and only if it is cold"?

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

Answer: D (q ⇔ ~p)

Explanation

'It is raining' is q and 'it is cold' is 'not hot', ~p, so the statement is q ⇔ ~p.