jee-main 2013 Q72

jee-main · India · 23apr Proof Proof of Equivalence or Logical Relationship Between Conditions

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
(1) $Q \wedge R \rightarrow P$
(2) $P \wedge Q \rightarrow R$
(3) $Q \rightarrow R$
(4) $Q \rightarrow P$

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\\
(1) $Q \wedge R \rightarrow P$\\
(2) $P \wedge Q \rightarrow R$\\
(3) $Q \rightarrow R$\\
(4) $Q \rightarrow P$

Paper Questions

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