MHT CET · Maths · Mathematical Reasoning
The propositions \((p \Rightarrow \sim p) \wedge(\sim p \Rightarrow p)\) is a
- A tautology and contradiction
- B neither tautology nor contradiction
- C contradiction
- D tautology
Answer & Solution
Correct Answer
(C) contradiction
Step-by-step Solution
Detailed explanation
| \(p\) | \(\sim p\) | \(p \Rightarrow \sim p\) | \(\sim p \Rightarrow p\) | \((p \Rightarrow \sim p) \wedge(\sim p \Rightarrow p)\) |
| \(T\) | \(F\) | \(F\) | \(T\) | \(F\) |
| \(F\) | \(T\) | \(T\) | \(F\) | \(F\) |
contradiction.
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