Anti-semitic math problems

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In the 1970's and 1980's there was discrimination against Jews in Soviet universities. The mathematics entry exam for admission to Moscow State University included a number of contrived problems given to Jewish candidates. Here I present one selected anti-semitic geometry problem.

K is the midpoint of a chord AB. MN and ST are chords that pass through K. MT intersects AK at point P and NS intersects KB at point Q. Show that KP = KQ.