Question

In a test in which 120 students appeared, 90 passed in history, 65 passed in sociology and 75 passed in political science. 30 students passed in only one subject and 55 students in only two. 5 students passed no subjects. How many students passed in all the three subjects? A)25 b)30 c)35 d)data insufficient

Answer 1

Answer:

30

Explanation:

So, its given that;

Total number of people who passed in one sub ONLY=30

Total number of people who passed in two subs ONLY=55

Therefore, total number of students who passed in one or two subs=30+55=85

Now, number of people who havent passed in any sub=5

So, the remaining= people who passed in all 3 subs

                            = 120-(85+5)    

                            =30           (ANS)