Exams › IBPS PO › Quantitative Aptitude

There are 14,000 students in a school. Out of these, 5,000 students like Maths, 4,500 like Science, and 4,000 like Sanskrit. There are 1,500 students who like all three subjects. There are 2,500 students who like Maths and Science, 2,700 who like Science and Sanskrit, and 2,300 who like Maths and Sanskrit. Some students do not like any subject. What is the ratio between the number of students who like at most two subjects and the number of students who like at most one subject?

1. 25: 19
2. 12:7
3. 23: 17
4. 2:1

Correct answer: 25: 19

Solution

Using inclusion-exclusion, we can determine the counts in each Venn region. The ratio of students who like at most two subjects to those who like at most one subject matches the option 25:19. This is a standard three-set Venn diagram problem.

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