Question

25 Students in a class took an examination in Mathematics and Science. 17 of them passed in Science and 8 Passed in both mathematics and Science 3 Students did not pass in any of the Subjects.

How many students passed in mathematics?

Answer 1

13 students passed in Mathematics.

Let's denote:

M as the number of students who passed in Mathematics,

S as the number of students who passed in Science.

According to the given information:

S=17 (the number of students who passed in Science), M∩S=8 (the number of students who passed in both Mathematics and Science), M∪S (the number of students who passed in either Mathematics or Science) is not given directly.

However, we know that there are 25 students in total, and 3 students did not pass in any of the subjects. Therefore, we can use the principle of inclusion-exclusion:

M∪S=M+S−(M∩S)

Substitute the given values:

M∪S=M+17−8

Now, since M∪S represents the total number of students who passed in either Mathematics or Science, and there are 25 students in total, we can write:

M+17−8+3=25

Solve for M:

M+12=25

M=25−12

M=13

Therefore, 13 students passed in Mathematics.