JEE PYQ: Mathematical Reasoning Question 39
Question 39 - 2019 (11 Jan Shift 1)
If $q$ is false and $p \wedge q \leftrightarrow r$ is true, then which one of the following statements is a tautology?
(1) $(p \vee r) \to (p \wedge r)$
(2) $(p \wedge r) \to (p \vee r)$
(3) $p \wedge r$
(4) $p \vee r$
Type: MCQ
Show Answer
Answer: (2)
Solution
$q$ is false and $(p \wedge q) \leftrightarrow r$ is true. As $(p \wedge q)$ is false, hence $r$ is false. $(p \wedge r) \to (p \vee r)$: since $(p \wedge r)$ is false, $F \to$ anything is T. Hence it is a tautology.
BETA
