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Questions
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1
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
The contrapositive of the statement "If you will work, you will earn money" is :
A
If you will not earn money, you will not work
B
If you will earn money, you will work
C
You will earn money, if you will not work
D
To earn money, you need to work
2
JEE Main 2021 (Online) 25th February Morning Slot
MCQ (Single Correct Answer)
+4
-1
The statement A $$ \to $$ (B $$ \to $$ A) is equivalent to :
A
A $$ \to $$ (A $$\mathrel{\mathop{\kern0pt\longleftrightarrow} \limits_{}} $$ B)
B
A $$ \to $$ (A $$ \vee $$ B)
C
A $$ \to $$ (A $$ \wedge $$ B)
D
A $$ \to $$ (A $$ \to $$ B)
3
JEE Main 2021 (Online) 24th February Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The negation of the statement

$$ \sim p \wedge (p \vee q)$$ is :
A
$$p \vee \sim q$$
B
$$ \sim p \vee q$$
C
$$ \sim p \wedge q$$
D
$$p \wedge \sim q$$
4
JEE Main 2021 (Online) 24th February Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
For the statements p and q, consider the following compound statements :

(a) $$( \sim q \wedge (p \to q)) \to \sim p$$

(b) $$((p \vee q) \wedge \sim p) \to q$$

Then which of the following statements is correct?
A
(b) is a tautology but not (a).
B
(a) and (b) both are not tautologies.
C
(a) and (b) both are tautologies.
D
(a) is a tautology but not (b).
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