To be accepted to the Science Academy each of 100 students has to pass a written placement exams in Mathematics, Physics, Chemistry, Biology and Geology. The following is the results:

90 students passed the Mathematics exam

89 students passed the Physics exam

86 students passed the Chemistry exam

92 students passed the Biology exam

88 students passed the Geology exam

What is the **minimum** number of students that passed all five exams?

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