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1
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which one of the following statements is not a tautology?
A
(p $$ \wedge $$ q) $$ \to $$ (~ p) $$ \vee $$ q
B
(p $$ \wedge $$ q) $$ \to $$ p
C
( p $$ \vee $$ q) $$ \to $$ ( p $$ \vee $$ (~q))
D
p $$ \to $$ ( p $$ \vee $$ q)
2
JEE Main 2019 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The contrapositive of the statement "If you are born in India, then you are a citizen of India", is :
A
If you are not a citizen of India, then you are not born in India.
B
If you are born in India, then you are not a citizen of India.
C
If you are a citizen of India, then you are born in India.
D
If you are not born in India, then you are not a citizen of India
3
JEE Main 2019 (Online) 12th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The expression $$ \sim $$ ($$ \sim $$ p $$ \to $$ q) is logically equivalent to :
A
p $$ \wedge $$ q
B
$$ \sim $$ p $$ \wedge $$ $$ \sim $$ q
C
p $$ \wedge $$ $$ \sim $$ q
D
$$ \sim $$ p $$ \wedge $$ q
4
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The Boolean expression ((p $$ \wedge $$ q) $$ \vee $$ (p $$ \vee $$ $$ \sim $$ q)) $$ \wedge $$ ($$ \sim $$ p $$ \wedge $$ $$ \sim $$ q) is equivalent to :
A
p $$ \wedge $$ q
B
p $$ \wedge $$ ($$ \sim $$ q)
C
p $$ \vee $$ ($$ \sim $$ q)
D
($$ \sim $$ p) $$ \wedge $$ ($$ \sim $$ q)
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