COMEDK · Maths · 17. Mathematical Reasoning
If \(p \rightarrow(\sim q \vee r)\) is false, then the truth values of \(p, q\) and \(r\) are
- A T, T, F
- B T, F, T
- C \(\mathrm{F}, \mathrm{T}, \mathrm{T}\)
- D \(\mathrm{F}, \mathrm{F}, \mathrm{T}\)
Answer & Solution
Correct Answer
(A) T, T, F
Step-by-step Solution
Detailed explanation
Given that, \(p \rightarrow(\sim q \vee r)\) is false. \(\Rightarrow(\sim q \vee r)\) is false and \(p\) is true. \(\Rightarrow q\) is true, \(r\) is false and \(p\) is true.
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