Let p, q, r be three logical statements. Consider the compound statements S₁:((p) q) ((p) r) and S₂:p → (q r) Then, which of the following is NOT true?

(C) If S₂ is False, then S₁ is True

(A) If S₂ is True, then S₁ is True

(B) If S₂ is False, then S₁ is False

(D) If S₁ is False, then S₂ is False

Mathematical Reasoning: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jun, Morning shift · Q4361

JEE Main 202228 Jun, Morning shiftMathematicsEasyMathematical Reasoning115× since 2008

Let p, q, r be three logical statements. Consider the compound statements

{S_1}:(( \sim p) \vee q) \vee (( \sim p) \vee r)

and

{S_2}:p \to (q \vee r)

Then, which of the following is NOT true?

JEE Main 2022 · 28 Jun, Morning shift · Q4361

JEE Main 202228 Jun, Morning shiftMathematicsEasyMathematical Reasoning115× since 2008

Let p, q, r be three logical statements. Consider the compound statements

{S_1}:(( \sim p) \vee q) \vee (( \sim p) \vee r)

and

{S_2}:p \to (q \vee r)

Then, which of the following is NOT true?