1
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Negation of the statement :

$$\sqrt 5$$ is an integer or 5 is 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
+4
-1
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
+4
-1
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
+4
-1
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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