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

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
$$( \sim P) \vee Q$$
2
JEE Main 2022 (Online) 29th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus

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
$$(p \wedge(\sim q)) \Rightarrow r$$
3
JEE Main 2022 (Online) 29th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus

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
$$(p \wedge q) \Rightarrow r$$
4
JEE Main 2022 (Online) 28th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus

Let

$$\mathrm{p}$$ : Ramesh listens to music.

$$\mathrm{q}$$ : Ramesh is out of his village.

$$\mathrm{r}$$ : It is Sunday.

$$\mathrm{s}$$ : It is Saturday.

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as

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