JEE PYQ: Mathematical Reasoning Question 10
Question 10 - 2021 (26 Feb Shift 2)
Let $F_1(A, B, C) = (A \wedge \sim B) \vee [\sim C \wedge (A \vee B)] \vee \sim A$ and $F_2(A, B) = (A \vee B) \vee (B \leftrightarrow \sim A)$ be two logical expressions. Then:
(1) $F_1$ is not a tautology but $F_2$ is a tautology
(2) $F_1$ is a tautology but $F_2$ is not a tautology
(3) $F_1$ and $F_2$ both are tautologies
(4) Both $F_1$ and $F_2$ are not tautologies
Type: MCQ
Show Answer
Answer: (1)
Solution
Truth table verification shows $F_1$ is not a tautology and $F_2$ is a tautology.
BETA
