Moscow Institute of Physics and Technology Mathematics Competition Question

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As mentioned in the title, does anyone know where can I obtain past question papers from Moscow Institute of Physics and Technology?

Any link will be greatly appreciated.

The following is one of the questions from the institute:

Let $A$ be an $n \times n$ matrix with real entries and let $H=\frac{A+A^T}{2}$. Assume that $H$ is positive definite. Prove that $\det(H) \leq \det(A)$

I do not obtain the question from the institute directly, but from some problem sets. I would like to try out questions from the institute.