JEE PYQ: Mathematical Reasoning Question 14
Question 14 - 2020 (03 Sep Shift 2)
Let $p$, $q$, $r$ be three statements such that the truth value of $(p \wedge q) \to (\sim q \vee r)$ is F. Then the truth values of $p$, $q$, $r$ are respectively:
(1) T, F, T
(2) T, T, T
(3) F, T, F
(4) T, T, F
Type: MCQ
Show Answer
Answer: (4)
Solution
$(p \wedge q) \to (\sim q \vee r)$ is false, then $\sim p$, $\sim q$ and $r$ all must be false. $\Rightarrow p$ is true, $q$ is true and $r$ is false.