1
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
If p $$\to$$ (p $$\wedge$$ ~q) is false, then the truth values of p and q are respectively :
A
T, T
B
T, F
C
F, T
D
F, F
2
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Negation of the statement :

$$\sqrt 5$$ is an integer or 5 is irrational is :
A
$$\sqrt 5$$ is not an integer and 5 is not irrational.
B
$$\sqrt 5$$ is irrational or 5 is an integer.
C
$$\sqrt 5$$ is an integer and 5 is irrational.
D
$$\sqrt 5$$ is not an integer or 5 is not irrational.
3
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
Which of the following statements is a tautology?
A
~(p $$\wedge$$ ~q) $$\to$$ p $$\vee$$ q
B
~(p $$\vee$$ ~q) $$\to$$ p $$\vee$$ q
C
~(p $$\vee$$ ~q) $$\to$$ p $$\wedge$$ q
D
p $$\vee$$ (~q) $$\to$$ p $$\wedge$$ q
4
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Which one of the following is a tautology?
A
P $$\wedge$$ (P $$\vee$$ Q)
B
P $$\vee$$ (P $$\wedge$$ Q)
C
Q $$\to$$ (P $$\wedge$$ (P $$\to$$ Q))
D
(P $$\wedge$$ (P $$\to$$ Q)) $$\to$$ 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