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In a class of 200 students who appeared ...

In a class of 200 students who appeared certain examinations, 35 students failed in MHT CET, 40 in AIEEE and 40 in IIT entrance, 20 failed in MHT CET and AIEEE, 17 in AIEEE and IIT entrance, 15 in MHT-CET and IIT entrance and 5 failed in all three examinations. Find how many students. 1) Did not fail in any examination. 2) Failed in AIEEE or IIT entrance.

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