This chapter is currently out of syllabus
1
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The Boolean expression ((p $$ \wedge $$ q) $$ \vee $$ (p $$ \vee $$ $$ \sim $$ q)) $$ \wedge $$ ($$ \sim $$ p $$ \wedge $$ $$ \sim $$ q) is equivalent to :
A
p $$ \wedge $$ q
B
p $$ \wedge $$ ($$ \sim $$ q)
C
p $$ \vee $$ ($$ \sim $$ q)
D
($$ \sim $$ p) $$ \wedge $$ ($$ \sim $$ q)
2
JEE Main 2019 (Online) 11th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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
3
JEE Main 2019 (Online) 11th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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)
4
JEE Main 2019 (Online) 10th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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)
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