JEE Main 2022 · 27 Jun · Shift 2 · Mathematics Q20

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MathematicsSingle correct+4 / -1Question 20 of 90

Which of the following statement is a tautology ?

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

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

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

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

Answer and worked solution

Official answer: C

Option C contains $p\vee(\sim p)$ , which is always true, joined by $\vee$ : a tautology. A and D are contradictions or contingent; B contains $p\wedge\sim p$ .

(C)

Topics:Mathematical reasoning

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JEE Main 2022 · 27 Jun · Shift 2, Mathematics question 20