JEE Main 2014 · 6 Apr · Shift 1 · Mathematics Q90

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MathematicsSingle correct+4 / -1Question 90 of 90

The statement $\sim(p\leftrightarrow\sim q)$ is :

a tautology

a fallacy

equivalent to

p\leftrightarrow q

equivalent to

\sim p\leftrightarrow q

Answer and worked solution

Official answer: C

$p\leftrightarrow\sim q$ is true exactly when $p$ and $q$ differ. Its negation is true exactly when they agree, so $\sim(p\leftrightarrow\sim q)\equiv p\leftrightarrow q$ .

Topics:Mathematical reasoning

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JEE Main 2014 · 6 Apr · Shift 1, Mathematics question 90