Try the following GRE quantitative reasoning question that tests your understanding of inscribed squares and application of Pythagorean theorem to find distances.
Question#77:
A square of perimeter $20$ is inscribed in a square of perimeter $28$. What is the greatest distance between a vertex of the inner square and a vertex of the outer square?

$\quad \sqrt{58}$

$\quad \displaystyle \frac{7\sqrt{5}}{2}$

$\quad 8$

$\quad \sqrt{65}$

$\quad 5\sqrt{3}$
Video explanation