Correct answer is B.
Δ =\(\begin{vmatrix}
5^2 & 5^3& 5^4 \\[0.3em]
5^3 & 5^4 &5^5\\[0.3em]
5^4 & 5^5 &5^6
\end{vmatrix}\)
Δ = \(5^9\begin{vmatrix}
1 & 5& 5^2 \\[0.3em]
1 & 5 &5^2\\[0.3em]
1 & 5 &5^2
\end{vmatrix}\)
Δ = \(5^95^3\begin{vmatrix}
1 & 1& 1 \\[0.3em]
1 & 1 &1\\[0.3em]
1 & 1 &1
\end{vmatrix}\)
∆ = 0