GATE Computer Science (CS) 2017 Shift 1 Solved Paper

Let A be (n x n) real valued square symmetric matrix of rank 2 with $\sum _{\mathit{i}=1}^{\mathit{n}}\sum _{\mathit{j}=1}^{\mathit{n}}{\mathit{A}}_{\mathit{i}\mathit{j}}^2=50$. Consider the following statements.
(I) One eigenvalue must be in [–5, 5]
(II) The eigenvalue with the largest magnitude must be strictly greater than 5
Which of the above statements about eigenvalues of A is/are necessarily CORRECT?