Explanation : Alternatively: Students taking either English composition or Chemistry = 14 + 29 – 5 = 38
Hence, students not taking any class = 40 − 38 = 2
Explanation : Number of candidates failed in English = 52%
Number of candidates failed in Mathematics = 42%
Number of candidates failed in both = 17%
Total failed = 52 + 42 – 17 = 77%
Passed in both the subjects = 100 − 77 = 23%
Explanation : People studying newspaper X or Y = 40 + 50 − 10 =
80.
Hence, people studying neither X nor Y = 100 − 80 = 20.
(Candidates can try to solve this question with Venn
diagram also.)