This chapter is currently out of syllabus
1
JEE Main 2023 (Online) 8th April Morning Shift
+4
-1
Out of Syllabus

Negation of $$(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$$ is :

A
$$(\sim q) \wedge p$$
B
$$q \wedge(\sim p)$$
C
$$p \vee(\sim q)$$
D
$$(\sim p) \vee q$$
2
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1
Out of Syllabus

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
3
JEE Main 2023 (Online) 6th April Morning Shift
+4
-1
Out of Syllabus

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
$$(P \vee R) \Rightarrow Q$$
4
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1
Out of Syllabus

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
$$(\mathrm{p\wedge q)\to(\sim (p)\to q)}$$
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