1
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)
2
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The contrapositive of the statement "If you are born in India, then you are a citizen of India", is :
A
If you are not a citizen of India, then you are not born in India.
B
If you are born in India, then you are not a citizen of India.
C
If you are a citizen of India, then you are born in India.
D
If you are not born in India, then you are not a citizen of India
3
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
The expression $$\sim$$ ($$\sim$$ p $$\to$$ q) is logically equivalent to :
A
p $$\wedge$$ q
B
$$\sim$$ p $$\wedge$$ $$\sim$$ q
C
p $$\wedge$$ $$\sim$$ q
D
$$\sim$$ p $$\wedge$$ q
4
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
The Boolean expression ((p $$\wedge$$ q) $$\vee$$ (p $$\vee$$ $$\sim$$ q)) $$\wedge$$ ($$\sim$$ p $$\wedge$$ $$\sim$$ q) is equivalent to :
A
p $$\wedge$$ q
B
p $$\wedge$$ ($$\sim$$ q)
C
p $$\vee$$ ($$\sim$$ q)
D
($$\sim$$ p) $$\wedge$$ ($$\sim$$ q)
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