Mathematical Reasoning: The statement (pwedge(pto q)wedge(qto r))to r is : | JEE Main 2021 | Yukti Vault

Yukti Vault

JEE Main 2021 (Online) 27th August Morning ShiftQuestion 1

The statement $(p\wedge(p\to q)\wedge(q\to r))\to r$ is :

Mathematical Reasoning

a tautology✓ Correct answera fallacyequivalent to $p\to\sim r$equivalent to $q\to\sim r$

Solution

$p\wedge(p\to q)\wedge(q\to r)$ gives $p,q,r$ all true, so the implication to $r$ always holds: a tautology.

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