# In an examination, 60% of the students passed in maths and 70 % of the

| In an examination, 60% of the students passed in maths and 70 % of the students passed in science, but 20% failed in both of these subjects. If 2500 students passed in both the subjects then find the number of students who appeared at the examination.

A. 5500

B. 5000

C. 6000

D. 2500

### Right Answer is: B

#### SOLUTION

Students passed in maths = 60%

Students failed in maths = 100% – 60% = 40%

Now Students passed in Science = 70%

Students failed in Science = 100% – 70% = 30%

Also, 20% failed in both of these subjects

We solve such questions using Venn- Diagram as shown below

Students failed in atleast one subject = 20% + 20% + 10% = 50%

students passed in both the subjects = 100% – 50 % = 50 %

A.T.Q.

50 % = 2500 students

100% = 2 × 2500 = 5000 students

Hence number of students who appeared at the examination = 5000

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In an examination, 60% of the students passed in maths and 70 % of the