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JEE Previous Year Question

$The inverse of the proposition (p \land \sim q) \to r is$

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.

A $(\sim r) \to (\sim p) \lor q$
B $(\sim p) \lor q \to (\sim r)$
C $r \to p \land (\sim q)$
D $(\sim p) \lor (\sim q) \to r$

Correct answer: B

Solution

(b) : Inverse is \sim [p \land \sim q] \to \sim r \equiv (\sim p) \lor q \to \sim r

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