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1
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which of the following is the negation of the statement "for all M > 0, there exists x$$\in$$S such that x $$\ge$$ M" ?
A
there exists M > 0, such that x < M for all x$$\in$$S
B
there exists M > 0, there exists x$$\in$$S such that x $$\ge$$ M
C
there exists M > 0, there exists x$$\in$$S such that x < M
D
there exists M > 0, such that x $$\ge$$ M for all x$$\in$$S
2
JEE Main 2021 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The compound statement $$(P \vee Q) \wedge ( \sim P) \Rightarrow Q$$ is equivalent to :
A
$$P \vee Q$$
B
$$P \wedge \sim Q$$
C
$$ \sim (P \Rightarrow Q)$$
D
$$ \sim (P \Rightarrow Q) \Leftrightarrow P \wedge \sim Q$$
3
JEE Main 2021 (Online) 25th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following :
A
The match will not be played and weather is not good and ground is wet.
B
If the match will not be played, then either weather is not good or ground is wet.
C
The match will be played and weather is not good or ground is wet.
D
The match will not be played or weather is good and ground is not wet.
4
JEE Main 2021 (Online) 25th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The Boolean expression $$(p \Rightarrow q) \wedge (q \Rightarrow \sim p)$$ is equivalent to :
A
$$ \sim $$ q
B
q
C
p
D
$$ \sim $$ p
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