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.
(i) did not fail in any examination.
(ii) failed in AIEEE or IIT entrance.