This chapter is currently out of syllabus
1
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Consider the statement :
‘‘For an integer n, if n3 – 1 is even, then n is odd.’’
The contrapositive statement of this statement is :
A
For an integer n, if n is even, then n3 – 1 is even.
B
For an integer n, if n3 – 1 is not even, then n is not odd.
C
For an integer n, if n is odd, then n3 – 1 is even.
D
For an integer n, if n is even, then n3 – 1 is odd.
2
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The negation of the Boolean expression p $$ \vee $$ (~p $$ \wedge $$ q) is equivalent to :
A
$$p \wedge \sim q$$
B
$$ \sim $$$$p \vee \sim q$$
C
$$ \sim p \wedge q$$
D
$$ \sim p \wedge \sim q$$
3
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The statement
$$\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)$$ is :
A
a tautology
B
a contradiction
C
equivalent to (p $$ \vee $$ q) $$ \wedge $$ ($$ \sim $$ p)
D
equivalent to (p $$ \wedge $$ q) $$ \vee $$ ($$ \sim $$ q)
4
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The negation of the Boolean expression x $$ \leftrightarrow $$ ~ y is equivalent to :
A
$$\left( {x \wedge y} \right) \vee \left( { \sim x \wedge \sim y} \right)$$
B
$$\left( { \sim x \wedge y} \right) \vee \left( { \sim x \wedge \sim y} \right)$$
C
$$\left( {x \wedge y} \right) \wedge \left( { \sim x \vee \sim y} \right)$$
D
$$\left( {x \wedge \sim y} \right) \vee \left( { \sim x \wedge y} \right)$$
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