Question

In an examination 260 students appeared. Of these, 68% passed in mathematics, 72% passed in science and 20% failed in both subjects. How many students passed in both subjects?
1. 148
2. 156
3. 104
4. 132

Answer 1

Correct Answer - Option 2 : 156

Calculation:

Total number of students who appeared in the exam be 260

Number of students who passed in Mathematics = 68% of 260

= 176.8

Number of students who passed in Science = 72% of 260

= 187.2

Number of students who failed in both = 20% of 260

= 52

Let; Number of students who passed in both the subjects = x

⇒ Total students = 176.8 + 187.2 + (52 - x)

⇒ 176.8 + 187.2 + (52 - x) = 260

⇒ 416 - x = 260

⇒ x = 156

Hence, the number of students who passed in both the subjects is 156.