JEE Main 2019 (Online) 11th January Morning Slot | Mathematical Reasoning Question 99 | Mathematics

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)

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

Consider the statement : "P(n) : n² – n + 41 is prime". Then which one of the following is true ?

P(5) is false but P(3) is true

Both P(3) and P(5) are true

P(3) is false but P(5) is true

Both P(3) and P(5) are false

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

The logical statement

[ $$ \sim $$ ( $$ \sim $$ p $$ \vee $$ q) $$ \vee $$ (p $$ \wedge $$ r)] $$ \wedge $$ ($$ \sim $$ q $$ \wedge $$ r) is equivalent to :

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

$$ \sim $$ p $$ \vee $$ r

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

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

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