Among the statements : ( {\S} 1):( {\p} \Rightarrow {\q}) ∨((∼ {\p}) ∧ {\q}) is a tautology ( {\S} 2):( {\q} \Rightarrow {\p}) \Rightarrow((∼ {\p}) ∧ {\q}) is a contradiction [6-Apr-2023 shift 2]

Correct Answer is : neigher (S1) and (S2) is True

neigher ( {\S} 1) and ( {\S} 2) is True

both ( {\S} 1) and ( {\S} 2) are True

JEE Mains 6-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 4 of 90

Marks: +1, -0

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

[6-Apr-2023 shift 2]

P	Q	∼p	∼p∧q	p⇒q	(p⇒q)∨(∼p∧q)
T	T	F	F	T	T
T	F	F	F	F	T
F	T	T	T	T	T
F	F	T	F	T	T

P	Q	q⇒p	∼p	(∼p)∧q	(q⇒p)∨(∼p∧q)
T	T	T	F	F	F
T	F	T	F	F	F
F	T	F	T	T	T
F	F	T	T	F	T

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