Among the two statements (S1): (p \Rightarrow q) ∧(p ∧(∼ q)) is a contradiction and (S 2):(p ∧ q) ∨((∼ p) ∧ q) ∨(p ∧(∼ q)) ∨((∼ p) ∧(∼ q)) is a tautology [12-Apr-2023 shift 1]

Correct Answer is : both are true

JEE Mains 12-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 6 of 90

Marks: +1, -0

Among the two statements
(S1): (p⇒q)∧(p∧(∼q)) is a contradiction and
(S2):(p∧q)∨((∼p)∧q)∨(p∧(∼q))∨((∼p)∧(∼q)) is a tautology

[12-Apr-2023 shift 1]

p	q	p∧q	(p∧∼q)	(p∧∼q)	(∼p)∧(∼p)	S2
T	T	T	F	F	F	T
T	F	F	F	T	F	T
F	T	F	T	F	F	T
F	F	F	F	F	T	T

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