MHT CET · Maths · Mathematical Reasoning
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
- A T, F, T.
- B \(\mathrm{T}, \mathrm{T}, \mathrm{T}\).
- C F, T, F.
- D \(T, T, F\).
Answer & Solution
Correct Answer
(D) \(T, T, F\).
Step-by-step Solution
Detailed explanation
From the above truth table, \((p \wedge q) \rightarrow(\sim q \vee r)\) is false if, truth value of \(p, q\), r are \(\mathrm{T}, \mathrm{T}, \mathrm{F}\)
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