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1
JEE Main 2020 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Negation of the statement :

$$\sqrt 5 $$ is an integer or 5 is an irrational is :
A
$$\sqrt 5 $$ is not an integer and 5 is not irrational.
B
$$\sqrt 5 $$ is irrational or 5 is an integer.
C
$$\sqrt 5 $$ is an integer and 5 is irrational.
D
$$\sqrt 5 $$ is not an integer or 5 is not irrational.
2
JEE Main 2020 (Online) 8th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which of the following statements is a tautology?
A
~(p $$ \wedge $$ ~q) $$ \to $$ p $$ \vee $$ q
B
~(p $$ \vee $$ ~q) $$ \to $$ p $$ \vee $$ q
C
~(p $$ \vee $$ ~q) $$ \to $$ p $$ \wedge $$ q
D
p $$ \vee $$ (~q) $$ \to $$ p $$ \wedge $$ q
3
JEE Main 2020 (Online) 8th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which one of the following is a tautology?
A
P $$ \wedge $$ (P $$ \vee $$ Q)
B
P $$ \vee $$ (P $$ \wedge $$ Q)
C
Q $$ \to $$ (P $$ \wedge $$ (P $$ \to $$ Q))
D
(P $$ \wedge $$ (P $$ \to $$ Q)) $$ \to $$ Q
4
JEE Main 2020 (Online) 7th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A $$ \subseteq $$ B and B $$ \subseteq $$ D, then A $$ \subseteq $$ C" is :
A
If A ⊈ C, then A ⊈ B or B ⊈ D
B
If A ⊈ C, then A ⊈ B and B $$ \subseteq $$ D
C
If A $$ \subseteq $$ C, then B $$ \subset $$ A or D $$ \subset $$ B
D
If A ⊈ C, then A $$ \subseteq $$ B and B $$ \subseteq $$ D
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