this is graduate school of information science, not the mathematics department of University of Tokyo

here's the exam (in Japanese)

http://www.ms.u-tokyo.ac.jp/kyoumu/documents/26english.pdf

http://www.ms.u-tokyo.ac.jp/kyoumu/docs/26a%200119.pdf

http://www.ms.u-tokyo.ac.jp/kyoumu/docs/26b%200119.pdf