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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 in both the subjects?Choices:- 8 6 4 16

Question

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 in both the subjects?Choices:- 8 6 4 16

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Solution

To solve this problem, we need to understand the relationships between the different groups of students.

  1. We know that 20 students passed in botany. This includes students who may have also passed or failed in zoology.

  2. We know that 16 students failed only in zoology. This means they passed in botany.

  3. We know that 8 students failed in both subjects. This means they are not included in the 20 students who passed botany.

  4. We need to find out how many students passed in both subjects. To do this, we subtract the number of students who failed only in zoology and the number of students who failed in both subjects from the total number of students who passed in botany.

So, the calculation is: 20 (students who passed botany) - 16 (students who failed only in zoology) - 8 (students who failed in both subjects) = -4

However, the number of students cannot be negative. This suggests that there may be a mistake in the problem or a misunderstanding in the interpretation of the problem.

According to the given data, it's not possible to find a positive number of students who passed in both subjects.

This problem has been solved

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