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1
JEE Main 2023 (Online) 10th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The statement $$\sim[p \vee(\sim(p \wedge q))]$$ is equivalent to :

A
$$(\sim(p \wedge q)) \wedge q$$
B
$$\sim(p \vee q)$$
C
$$(p \wedge q) \wedge(\sim p)$$
D
$$\sim(p \wedge q)$$
2
JEE Main 2023 (Online) 10th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The negation of the statement $$(p \vee q) \wedge (q \vee ( \sim r))$$ is :

A
$$(( \sim p) \vee r)) \wedge ( \sim q)$$
B
$$(p \vee r) \wedge ( \sim q)$$
C
$$(( \sim p) \vee ( \sim q)) \vee ( \sim r)$$
D
$$(( \sim p) \vee ( \sim q)) \wedge ( \sim r)$$
3
JEE Main 2023 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The negation of $$(p \wedge(\sim q)) \vee(\sim p)$$ is equivalent to :

A
$$p \wedge q$$
B
$$p \wedge(\sim q)$$
C
$$p \wedge(q \wedge(\sim p))$$
D
$$p \vee(q \vee(\sim p))$$
4
JEE Main 2023 (Online) 8th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

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
$$(\sim p) \vee q$$
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