Placement Exams

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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