This chapter is currently out of syllabus
1
JEE Main 2023 (Online) 6th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Among the statements

(S1) : $$(p \Rightarrow q) \vee((\sim p) \wedge q)$$ is a tautology

(S2) : $$(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$$ is a contradiction

A
neither (S1) and (S2) is True
B
only (S2) is True
C
both $$(\mathrm{S} 1)$$ and $$(\mathrm{S} 2)$$ are True
D
only (S1) is True
2
JEE Main 2023 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Statement $$\mathrm{(P \Rightarrow Q) \wedge(R \Rightarrow Q)}$$ is logically equivalent to :

A
$$(P \Rightarrow R) \wedge(Q \Rightarrow R)$$
B
$$(P \Rightarrow R) \vee(Q \Rightarrow R)$$
C
$$(P \wedge R) \Rightarrow Q$$
D
$$(P \vee R) \Rightarrow Q$$
3
JEE Main 2023 (Online) 1st February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Which of the following statements is a tautology?

A
$$\mathrm{p\vee(p\wedge q)}$$
B
$$(\mathrm{p\wedge(p\to q))\to\,\sim q}$$
C
$$\mathrm{p\to (p\wedge (p\to q))}$$
D
$$(\mathrm{p\wedge q)\to(\sim (p)\to q)}$$
4
JEE Main 2023 (Online) 1st February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The negation of the expression $$q \vee \left( {( \sim \,q) \wedge p} \right)$$ is equivalent to

A
$$( \sim \,p) \wedge ( \sim \,q)$$
B
$$( \sim \,p) \vee q$$
C
$$p \wedge ( \sim \,q)$$
D
$$( \sim \,p) \vee ( \sim \,q)$$
JEE Main Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12