JEE Previous Year Question

If the truth value of the statement
(P (~R)) ((~R) Q) is F, then the truth value of which of the following is F?

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

  1. AP Q ~ R
  2. BR Q ~ P
  3. C~(PQ) ~R
  4. D~(RQ) ~P

Correct answer: D

Solution

(d)
X Y is a false
when X is true and Y is false
So,PT,QF,RF
(a) PQ~R is T (b) RQ~P is T
(c) ~(PQ)~R is T (d) ~(RQ)~P is F

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