Question

out of 115000 students,20%failed in SLC,40%out of the failures failed in science only and 35%failed in mathematics but 5%of them failed in other subjects,then how many failed in both subjects.

Answer 1

Answer:

This can be solved pretty easily with Set Theory.

Let us take the total number of students giving the exam be 100.

Let A=Number of Students that failed in Maths=45

Let B=Number of Students that failed in Science=30

Now, A can contain the number of students that failed in Science as well.

Similarly, B can contain the no. of students that failed in Maths as well.

Hence, Subtract the common part in both them.

Therefore, Failures in only Mathematics=45–25=20

Also, Failures in only Science=30–25=5

Total No. Of Failures=20+5=25

Total No. Of Approved Students=100–25=75

%age of Approved Students=75%