JEE-Mains 2014 (30/30)

Logic Level 2

The statement ∼ ( p ↔ ∼ q ) \sim (p \leftrightarrow \sim q) is:

a tautology a fallacy equivalent to ∼ p ↔ q \sim p \leftrightarrow q equivalent to p ↔ q p \leftrightarrow q

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Jake Lai
Jun 20, 2015

It is known that ¬ ( p ↔ q ) = p ↔ ¬ q \neg (p \leftrightarrow q) = p \leftrightarrow \neg q . Substituting q q for ¬ q \neg q we get

p ↔ q p \leftrightarrow q

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you please tell from where can i learn to solve these type of problems.

Abhijeet Verma - 5 years, 11 months ago

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This comes under Mathematical Reasoning

Vinayak Verma - 5 years, 9 months ago

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yeah, scarcely given in ncert !

Abhijeet Verma - 5 years, 9 months ago

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