JEE PYQ: Mathematical Reasoning Question 33
Question 33 - 2019 (12 Apr Shift 1)
If the truth value of the statement $p \to (\sim q \vee r)$ is false (F), then the truth values of the statements $p$, $q$, $r$ are respectively:
(1) T, T, F
(2) T, F, F
(3) T, F, T
(4) F, T, T
Type: MCQ
Show Answer
Answer: (1)
Solution
$p \to (\sim q \vee r)$ is False $\Rightarrow p$ is True and $\sim q \vee r$ is False $\Rightarrow \sim q$ is False and $r$ is False $\Rightarrow p, q, r = T, T, F$.