GATE|GATE-CS-2014 paper-03|Question 1

 

GATE|GATE-CS-2014 paper-03|Question 1

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,N is correct?

(A) Only L is TRUE

(B) Only M is TRUE

(C) Only N is TRUE

(D) L,M,N are TRUE

Answer(D)

g:mobile is good

c:mobile is cheap

P: Good mobile phones are not cheap≌ g->c≌(∼g∨∼c)

Q:Cheap mobile phones are not good ≌c->g≌(∼c∨∼g)

Both P and Q are equivalent which means P and Q imply each other.

Option D is correct.