1
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
2
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
3
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
The logical statement (p $$\Rightarrow$$ q) $$\Lambda$$ ( q $$\Rightarrow$$ ~p) is equivalent to:
A
q
B
$$\sim$$p
C
p
D
$$\sim$$q
4
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
The Boolean expression ~(p $$\Rightarrow$$ (~q)) is equivalent to :
A
p $$\wedge$$ q
B
q $$\Rightarrow$$ ~p
C
p $$\vee$$ q
D
(~p) $$\Rightarrow$$ q
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