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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 $\Rightarrow p, q, r = T, T, F$.


Learning Progress: Step 33 of 42 in this series