A survey of 450 students about their subjects of interest resulted in the following outcome. 150 students are interested in Mathematics. 200 students are interested in Physics. 175 students are interested in Chemistry. 50 students are interested in Mathematics and Physics. 60 students are interested in Physics and Chemistry. 40 students are interested in Mathematics and Chemistry. Remaining students are interested in Humanities. Based on the above information, the number of students in Humanities is

Previously Asked in : Gate CE-afternoon season 2022 ||

45

10

30

40

Answer (Detailed Solution Below)

Option 45 is correct

Detailed Solution :

from above equation

total (T) = \, n(M \cup P \cup c) + x

450 = [(150+200 + 175)- (50+60+40) + 30] + x

x = 45

Correct option is: 45

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