JEE Main 2019 (Online) 12th January Morning Slot | Mathematical Reasoning Question 97 | Mathematics

The Boolean expression ((p $$ \wedge $$ q) $$ \vee $$ (p $$ \vee $$ $$ \sim $$ q)) $$ \wedge $$ ($$ \sim $$ p $$ \wedge $$ $$ \sim $$ q) is equivalent to :

p $$ \wedge $$ q

p $$ \wedge $$ ($$ \sim $$ q)

p $$ \vee $$ ($$ \sim $$ q)

($$ \sim $$ p) $$ \wedge $$ ($$ \sim $$ q)

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is :

If the squares of two numbers are equal, then the numbers are not equal

If the squares of two numbers are equal, then the numbers are equal

If the squares of two numbers are not equal, then the numbers are equal

If the squares of two numbers are not equal, then the numbers are not equal

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

-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 ?

P $$ \wedge $$ r

(p $$ \vee $$ r) $$ \to $$ (p $$ \wedge $$ r)

p $$ \vee $$ r

(p $$ \wedge $$ r) $$ \to $$ (p $$ \vee $$ r)

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

-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 ?

(P $$ \wedge $$ Q) $$ \vee $$ ($$ \sim $$ R)

P $$ \vee $$ ($$ \sim $$ Q $$ \wedge $$ R)

(~ P) $$ \wedge $$ ($$ \sim $$ Q $$ \wedge $$ R)

($$ \sim $$ P) $$ \vee $$ (Q $$ \wedge $$ R)

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