Given: A is the arithmetic mean of p and q G is the geometric mean of p and q And p>q Concept Used: For andy two numbers A.M ≥ G.M Calculation: For any two positive numbers p and q A≥G So, options 1) and 3) both can be the answer But for option 3) We have to take p=q Now, if we put p=q in A≥G i.e in (p+q)∕2≥√pq, we get 2p∕2≥√p2 ⇒p≥p i.e p=p But According to the question we have p>q ∴ The only 1) option will be correct.