1
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
Which of the following is equivalent to the Boolean expression p $$\wedge$$ $$\sim$$ q ?
A
$$\sim$$ (q $$\to$$ p)
B
$$\sim$$ p $$\to$$ $$\sim$$ q
C
$$\sim$$ (p $$\to$$ $$\sim$$ q)
D
$$\sim$$ (p $$\to$$ q)
2
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
Negation of the statement (p $$\vee$$ r) $$\Rightarrow$$ (q $$\vee$$ r) is :
A
p $$\wedge$$ $$\sim$$ q $$\wedge$$ $$\sim$$ r
B
$$\sim$$ p $$\wedge$$ q $$\wedge$$ $$\sim$$ 4
C
$$\sim$$ p $$\wedge$$ q $$\wedge$$ r
D
p $$\wedge$$ q $$\wedge$$ r
3
JEE Main 2021 (Online) 31st August Morning Shift
+4
-1
Let *, ▢ $$\in$${$$\wedge$$, $$\vee$$} be such that the Boolean expression (p * $$\sim$$ q) $$\Rightarrow$$ (p ▢ q) is a tautology. Then :
A
* = $$\vee$$, ▢ = $$\vee$$
B
* = $$\wedge$$, ▢ = $$\wedge$$
C
* = $$\wedge$$, ▢ = $$\vee$$
D
* = $$\vee$$, ▢ = $$\wedge$$
4
JEE Main 2021 (Online) 27th August Evening Shift
+4
-1
The Boolean expression (p $$\wedge$$ q) $$\Rightarrow$$ ((r $$\wedge$$ q) $$\wedge$$ p) is equivalent to :
A
(p $$\wedge$$ q) $$\Rightarrow$$ (r $$\wedge$$ q)
B
(q $$\wedge$$ r) $$\Rightarrow$$ (p $$\wedge$$ q)
C
(p $$\wedge$$ q) $$\Rightarrow$$ (r $$\vee$$ q)
D
(p $$\wedge$$ r) $$\Rightarrow$$ (p $$\wedge$$ q)
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination