MHT CET · Maths · Mathematical Reasoning
The statement \(\sim(p \leftrightarrow \sim q)\) is
- A equivalent to \(\mathrm{p} \leftrightarrow \mathrm{q}\)
- B a fallacy
- C a tautology
- D equivalent to \(\sim \mathrm{p} \leftrightarrow \mathrm{q}\)
Answer & Solution
Correct Answer
(A) equivalent to \(\mathrm{p} \leftrightarrow \mathrm{q}\)
Step-by-step Solution
Detailed explanation
The entries in the columns 5 and 6 are identical.
\(\therefore \quad \sim(\mathrm{p} \leftrightarrow \sim q) \equiv p \leftrightarrow q\)
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