Search any question & find its solution
Question:
Answered & Verified by Expert
If \(p \Rightarrow(q \vee r)\) is False, then the truth values of \(p, q, r\) are respectively, (where \(T\) is True and \(F\) is \(F a l s e\) )
Options:
Solution:
1140 Upvotes
Verified Answer
The correct answer is:
\(T, F, F\)
\(\boldsymbol{p} \Rightarrow \boldsymbol{q}\) is false only if \(\mathrm{p}\) is true and \(\mathrm{q}\) is false.
So, \(p \Rightarrow(q \vee r)\) is false only if \(\mathrm{p}\) is true and \((q \vee r)\) is false.
\((q \vee r)\) is false only if \(q\) and \(r\) are false.
Hence, the truth values of \(p, q, r\) are respectively \(T, F, F\)
So, \(p \Rightarrow(q \vee r)\) is false only if \(\mathrm{p}\) is true and \((q \vee r)\) is false.
\((q \vee r)\) is false only if \(q\) and \(r\) are false.
Hence, the truth values of \(p, q, r\) are respectively \(T, F, F\)
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.