GATE | GATE-CS-2014-(Set-3) | Question 65
Consider the following statements:
P: Good mobile phones are not cheap Q: Cheap mobile phones are not good L: P implies Q M: Q implies P N: P is equivalent to Q
Which one of the following about L, M, and N is CORRECT?
(A) Only L is TRUE.
(B) Only M is TRUE.
(C) Only N is TRUE.
(D) L, M and N are TRUE
Let a and b be two proposition a: Good Mobile phones. b: Cheap Mobile Phones. P and Q can be written in logic as P: a-->~b Q: b-->~a. Truth Table a b ~a ~b P Q T T F F F F T F F T T T F T T F T T F F T T T T it clearly shows P and Q are equivalent. so option D is Correct