Question
Quantitative Aptitude Question on Number Systems
If the sum of squares of two numbers is 97, then which one of the following cannot be their product?
A
-32
B
48
C
64
D
16
Answer
48
Explanation
Solution
The correct answer is (B):
Let a and b be the two numbers.
We know that for any two numbers AM ≥ GM
⇒ a2+b2/2 ≥ ab
ab ≤ 97/2
ab ≤ 48.5
Among the options, only 64 is greater than 48.5.