1
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
Which one of the following Boolean expressions is a tautology ?
A
(p $$\vee$$ q) $$\wedge$$ (~ p $$\vee$$ ~ q)
B
(p $$\vee$$ q) $$\vee$$ ( p $$\vee$$ ~ q)
C
(p $$\wedge$$ q) $$\vee$$ ( p $$\wedge$$ ~ q)
D
(p $$\vee$$ q) $$\wedge$$ ( p $$\vee$$ ~ q)
2
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
If p $$\Rightarrow$$ (q $$\vee$$ r) is false, then the truth values of p, q, r are respectively :-
A
F, F, F
B
T, F, F
C
F, T, T
D
T, T, F
3
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
For any two statements p and q, the negation of the expression
p $$\vee$$ (~p $$\wedge$$ q) is
A
p$$\leftrightarrow$$q
B
~p$$\wedge$$~q
C
p$$\wedge$$q
D
~p$$\vee$$~q
4
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Which one of the following statements is not a tautology ?
A
(p $$\wedge$$ q) $$\to$$ (~ p) $$\vee$$ q
B
(p $$\wedge$$ q) $$\to$$ p
C
( p $$\vee$$ q) $$\to$$ ( p $$\vee$$ (~q))
D
p $$\to$$ ( p $$\vee$$ q)
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