Javascript is required
1
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
Which of the following Boolean expression is a tautology?
A
(p $$\wedge$$ q) $$\vee$$ (p $$\to$$ q)
B
(p $$\wedge$$ q) $$\vee$$ (p $$\vee$$ q)
C
(p $$\wedge$$ q) $$\to$$ (p $$\to$$ q)
D
(p $$\wedge$$ q) $$\wedge$$ (p $$\to$$ q)
2
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
Let F1(A, B, C) = (A $$\wedge$$ $$\sim$$ B) $$\vee$$ [$$\sim$$C $$\wedge$$ (A $$\vee$$ B)] $$\vee$$ $$\sim$$ A and
F2(A, B) = (A $$\vee$$ B) $$\vee$$ (B $$\to$$ $$\sim$$A) be two logical expressions. Then :
A
Both F1 and F2 are not tautologies
B
F1 and F2 both are tautologies
C
F1 is not a tautology but F2 is a tautology
D
F1 is a tautology but F2 is not a tautology
3
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
The contrapositive of the statement "If you will work, you will earn money" is :
A
If you will not earn money, you will not work
B
If you will earn money, you will work
C
You will earn money, if you will not work
D
To earn money, you need to work
4
JEE Main 2021 (Online) 25th February Morning Slot
The statement A $$\to$$ (B $$\to$$ A) is equivalent to :
A $$\to$$ (A $$\mathrel{\mathop{\kern0pt\longleftrightarrow} \limits_{}}$$ B)
A $$\to$$ (A $$\vee$$ B)
A $$\to$$ (A $$\wedge$$ B)
A $$\to$$ (A $$\to$$ B)