In a class of 60 students, 20 students passed in botany, 16 students failed only in zoology and 8 students failed in both the subjects. How many students passed exactly in one subject?Choices:- 48 52 32 22

To solve this problem, we need to break it down into parts:

1. Total number of students = 60
2. Students who passed in botany = 20
3. Students who failed only in zoology = 16
4. Students who failed in both subjects = 8

First, we need to find out how many students passed in zoology. We know that 16 students failed only in zoology and 8 students failed in both subjects, so the total number of students who failed in zoology is 16 + 8 = 24.

Since the total number of students is 60, the number of students who passed in zoology is 60 - 24 = 36.

Next, we need to find out how many students passed exactly in one subject. We know that 20 students passed in botany and 36 students passed in zoology. However, this includes students who passed in both subjects.

To find out how many students passed in both subjects, we subtract the number of students who failed in both subjects from the total number of students who passed in botany. This gives us 20 - 8 = 12 students who passed in both subjects.

Finally, to find out how many students passed exactly in one subject, we subtract the number of students who passed in both subjects from the total number of students who passed in each subject, and then add the results:

(20 - 12) + (36 - 12) = 8 + 24 = 32

So, 32 students passed exactly in one subject. The correct answer is 32.