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

Question

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

Examsnet · Accepted Answer

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

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

JEE Main Math Class 12 Mathematical Reasoning Part 2 Questions