Mathematical Reasoning: Consider the two statements : (S1) : (pto q)vee(sim qto p) is a… | JEE Main 2021

JEE Main 2021 (Online) 26th August Evening ShiftQuestion 1

Consider the two statements : (S1) : $(p\to q)\vee(\sim q\to p)$ is a tautology. (S2) : $(p\wedge\sim q)\wedge(\sim p\vee q)$ is a fallacy. Then :

Mathematical Reasoning

only (S1) is true.only (S2) is true.both (S1) and (S2) are false.both (S1) and (S2) are true.✓ Correct answer

Solution

$S1$: $(\sim p\vee q)\vee(q\vee p)$ is always true. $S2$: $p\wedge\sim q$ and $\sim p\vee q$ are negations of each other, so the conjunction is always false (fallacy). Both true.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2021 (Online) 26th August Evening Shift)

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