This chapter is currently out of syllabus
1
JEE Main 2023 (Online) 24th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Let p and q be two statements. Then $$ \sim \left( {p \wedge (p \Rightarrow \, \sim q)} \right)$$ is equivalent to

A
$$\left( { \sim p} \right) \vee q$$
B
$$p \vee \left( {p \wedge ( \sim q)} \right)$$
C
$$p \vee \left( {p \wedge q} \right)$$
D
$$p \vee \left( {\left( { \sim p} \right) \wedge q} \right)$$
2
JEE Main 2023 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The compound statement $$\left( { \sim (P \wedge Q)} \right) \vee \left( {( \sim P) \wedge Q} \right) \Rightarrow \left( {( \sim P) \wedge ( \sim Q)} \right)$$ is equivalent to

A
$$(( \sim P) \vee Q) \wedge ( \sim Q)$$
B
$$( \sim Q) \vee P$$
C
$$(( \sim P) \vee Q) \wedge (( \sim Q) \vee P)$$
D
$$( \sim P) \vee Q$$
3
JEE Main 2022 (Online) 29th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The statement $$(p \Rightarrow q) \vee(p \Rightarrow r)$$ is NOT equivalent to

A
$$(p \wedge(\sim r)) \Rightarrow q$$
B
$$(\sim q) \Rightarrow((\sim r) \vee p)$$
C
$$p \Rightarrow(q \vee r)$$
D
$$(p \wedge(\sim q)) \Rightarrow r$$
4
JEE Main 2022 (Online) 29th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The statement $$(p \wedge q) \Rightarrow(p \wedge r)$$ is equivalent to :

A
$$q \Rightarrow(p \wedge r)$$
B
$$p\Rightarrow(\mathrm{p} \wedge \mathrm{r})$$
C
$$(\mathrm{p} \wedge \mathrm{r}) \Rightarrow(\mathrm{p} \wedge \mathrm{q})$$
D
$$(p \wedge q) \Rightarrow r$$
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