MHT CET · Maths · Mathematical Reasoning
If the statement \(p \vee \sim(q \wedge r)\) is false; then the truth values of \(p, q\) and \(r\) are respectively
- A \(\mathrm{F}, \mathrm{T}, \mathrm{F}\)
- B \(T, F, F\)
- C \(\mathrm{F}, \mathrm{T}, \mathrm{T}\)
- D \(F, F, T\)
Answer & Solution
Correct Answer
(C) \(\mathrm{F}, \mathrm{T}, \mathrm{T}\)
Step-by-step Solution
Detailed explanation
\(\therefore\) From above table, \(p \vee \sim(q \wedge r)\) is false, if \(p=F\), \(\mathrm{q}=\mathrm{T}, \mathrm{r}=\mathrm{T}\)
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