The positive integer n is divisible by 25.
So we can write: n = 25k (for some integer k)

\(\sqrt{n}\) is greater than 25
Substitute to get: \(\sqrt{25k}> 25\)

Useful property: \(\sqrt{xy} = (\sqrt{x})(\sqrt{y})\)

So our inequality becomes: \((\sqrt{25})(\sqrt{k})> 25\)
Simplify: \((5)(\sqrt{k})> 25\)
Divide both sides of the inequality by 5 to get: \(\sqrt{k}> 5\)
Square both sides: \(k > 25\)

Which of the following could be the value of \(\frac{n}{25}\) ?
Since we already stated that n = 25k, we can substitute to get: \(\frac{n}{25} = \frac{25k}{25} = k\)
In other words, the question is asking us to find a possible value of \(k\)
Since we already determined that \(k > 25\), the only possible value among the answer choices is k = 26

Answer: E