MHT CET · Maths · Mathematical Reasoning
If the statement pattern \((p \wedge q) \rightarrow(r \vee \sim s)\) is false, then the truth values of p, q, r and s are respectively.
- A \(\mathrm{T}, \mathrm{F}, \mathrm{T}, \mathrm{F}\)
- B \(\mathrm{T}, \mathrm{T}, \mathrm{T}, \mathrm{F}\)
- C \(\mathrm{T}, \mathrm{T}, \mathrm{F}, \mathrm{F}\)
- D \(\mathrm{T}, \mathrm{T}, \mathrm{F}, \mathrm{T}\)
Answer & Solution
Correct Answer
(D) \(\mathrm{T}, \mathrm{T}, \mathrm{F}, \mathrm{T}\)
Step-by-step Solution
Detailed explanation
\((p \wedge q) \rightarrow(r \vee \sim s) \equiv \mathrm{F}\) \((p \wedge q) \equiv \mathrm{T}\) and \((r \vee \sim s) \equiv \mathrm{F}\)
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