Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow(\sim q \vee r)$ is…

Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow(\sim q \vee r)$ is $F$. Then the truth values of $p, q, r$ are respectively
  1. T, F, T.
  2. $\mathrm{T}, \mathrm{T}, \mathrm{T}$.
  3. F, T, F.
  4. $T, T, F$.

Solution


From the above truth table, $(p \wedge q) \rightarrow(\sim q \vee r)$ is false if, truth value of $p, q$, r are $\mathrm{T}, \mathrm{T}, \mathrm{F}$

Asked in: MHT CET 2024 (09 May Shift 1)

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