This chapter is currently out of syllabus
1
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1
Out of Syllabus
The statement among the following that is a tautology is :
A
$$B \to \left[ {A \wedge \left( {A \to B} \right)} \right]$$
B
$$\left[ {A \wedge \left( {A \to B} \right)} \right] \to B$$
C
$$\left[ {A \wedge \left( {A \vee B} \right)} \right]$$
D
$$\left[ {A \vee \left( {A \wedge B} \right)} \right]$$
2
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
Out of Syllabus
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.
3
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Out of Syllabus
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
$$\sim p \wedge \sim q$$
4
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
Out of Syllabus
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
equivalent to (p $$\vee$$ q) $$\wedge$$ ($$\sim$$ p)
equivalent to (p $$\wedge$$ q) $$\vee$$ ($$\sim$$ q)