1
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)
2
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
Consider the following three statements :

P : 5 is a prime number

Q : 7 is a factor of 192

R : L.C.M. of 5 and 7 is 35

Then the truth value of which one of the following statements is true ?
A
(P $$\wedge$$ Q) $$\vee$$ ($$\sim$$ R)
B
P $$\vee$$ ($$\sim$$ Q $$\wedge$$ R)
C
(~ P) $$\wedge$$ ($$\sim$$ Q $$\wedge$$ R)
D
($$\sim$$ P) $$\vee$$ (Q $$\wedge$$ R)
3
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Consider the statement : "P(n) : n2 – n + 41 is prime". Then which one of the following is true ?
A
P(5) is false but P(3) is true
B
Both P(3) and P(5) are true
C
P(3) is false but P(5) is true
D
Both P(3) and P(5) are false
4
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
The logical statement

[ $$\sim$$ ( $$\sim$$ p $$\vee$$ q) $$\vee$$ (p $$\wedge$$ r)] $$\wedge$$ ($$\sim$$ q $$\wedge$$ r) is equivalent to :
A
( $$\sim$$ p $$\wedge$$ $$\sim$$ q) $$\wedge$$ r
B
$$\sim$$ p $$\vee$$ r
C
(p $$\wedge$$ r) $$\wedge$$ $$\sim$$ q
D
(p $$\wedge$$ $$\sim$$ q) $$\vee$$ r
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
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Medical
NEET