This chapter is currently out of syllabus
1
JEE Main 2022 (Online) 27th July Evening Shift
+4
-1
Out of Syllabus

If the truth value of the statement $$(P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q)$$ is F, then the truth value of which of the following is $$\mathrm{F}$$ ?

A
$$\mathrm{P} \vee \mathrm{Q} \rightarrow \,\sim \mathrm{R}$$
B
$$\mathrm{R} \vee \mathrm{Q} \rightarrow \,\sim \mathrm{P}$$
C
$$\sim(\mathrm{P} \vee \mathrm{Q}) \rightarrow \sim \mathrm{R}$$
D
$$\sim(\mathrm{R} \vee \mathrm{Q}) \rightarrow \,\sim \mathrm{P}$$
2
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1
Out of Syllabus

$$(p \wedge r) \Leftrightarrow(p \wedge(\sim q))$$ is equivalent to $$(\sim p)$$ when $$r$$ is

A
$$p$$
B
$$\sim p$$
C
$$q$$
D
$$\sim q$$
3
JEE Main 2022 (Online) 26th July Evening Shift
+4
-1
Out of Syllabus

Negation of the Boolean expression $$p \Leftrightarrow(q \Rightarrow p)$$ is

A
$$(\sim p) \wedge q$$
B
$$p \wedge(\sim q)$$
C
$$(\sim p) \vee(\sim q)$$
D
$$(\sim p) \wedge(\sim q)$$
4
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1
Out of Syllabus

The statement $$(\sim(\mathrm{p} \Leftrightarrow \,\sim \mathrm{q})) \wedge \mathrm{q}$$ is :

A
a tautology
B
equivalent to $$(p \Rightarrow q) \wedge q$$
equivalent to $$(p \Rightarrow q) \wedge p$$