1
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
2
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)
3
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is :
A
If the squares of two numbers are equal, then the numbers are not equal
B
If the squares of two numbers are equal, then the numbers are equal
C
If the squares of two numbers are not equal, then the numbers are equal
D
If the squares of two numbers are not equal, then the numbers are not equal
4
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
If q is false and p $$\wedge$$ q $$\leftrightarrow$$ r is true, then which one of the following statements is a tautology ?
A
P $$\wedge$$ r
B
(p $$\vee$$ r) $$\to$$ (p $$\wedge$$ r)
C
p $$\vee$$ r
D
(p $$\wedge$$ r) $$\to$$ (p $$\vee$$ r)
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