1
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
2
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)
3
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)
4
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
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