UPSC CDS 2 2019 Math Paper

(i) We have p is relatively prime to q and r.
Means there is nothing common between p,q and r.
Example p=2,q=5,r=7
Then if we product the q and r means 7×5=35.
So, p means 2 has no common factor with 35 .
Means p is relative prime to the product qr .
Then statement-1 is correct.
(ii) if p divide the qr means q divides by p or r divides by p or both divides with p.
But there is not must condition that if p divides q then p must divides r.
So, statement- 2 is wrong.