Consider the diagram.
500 candidates appeared in an examination comprising tests in English, Hindi and Maths. The diagram gives the number of students who failed in different tests. What is the percentage of students who failed in at least two subjects?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 7.8%
Each circle holds the students who failed in that test, so a student who failed in at least two tests lies where two or three circles overlap. These four regions are shaded below.
English and Hindi only: 10
English and Maths only: 12
Hindi and Maths only: 12
All three tests: 5
Failed in at least two tests: \(10+12+12+5=39\)
Percentage of the 500 candidates: \(\displaystyle\frac{39}{500}\times100=7.8\%\)