For integers $m$ and $n$, both greater than 1 , consider the following three statements : $P: m$ divides $n$ $Q: m$ divides $n^2$ $R: m$ is prime, then

JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Analyzing +4 | -1

For integers

m

and

n

, both greater than 1 , consider the following three statements : < br>

P: m

divides

n

Q: m

divides

n^2

R: m

is prime,

then

View answer and explanation

Correct option: A

Q \wedge R \rightarrow P

Option A (

Q \wedge R \rightarrow P

) is correct because if

m

divides

n^2

and

m

is prime, then

m

must divide

n

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p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q