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
Answer: (D)
Explanation:
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
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Last Updated :
28 Jun, 2021
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