For the statements p and q, consider the following compound statements: (a) (q (p → q)) → p (b) ((p q) p) → q Then which of the following statements is correct?

(C) (a) and (b) both are tautologies.

(A) (b) is a tautology but not (a).

(B) (a) and (b) both are not tautologies.

(D) (a) is a tautology but not (b).

Mathematical Reasoning: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Evening shift · Q4341

JEE Main 202124 Feb, Evening shiftMathematicsMediumMathematical Reasoning115× since 2008

For the statements p and q, consider the following compound statements : (a)

( \sim q \wedge (p \to q)) \to \sim p

(b)

((p \vee q) \wedge \sim p) \to q

Then which of the following statements is correct?

JEE Main 2021 · 24 Feb, Evening shift · Q4341

JEE Main 202124 Feb, Evening shiftMathematicsMediumMathematical Reasoning115× since 2008

For the statements p and q, consider the following compound statements : (a)

( \sim q \wedge (p \to q)) \to \sim p

(b)

((p \vee q) \wedge \sim p) \to q

Then which of the following statements is correct?