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. Find the difference between the number of students who like only one subject and the number of students who like only two subjects.

1. 7500
2. 5500
3. 6000
4. none of these

Correct answer: none of these

Solution

The pairwise counts include those who like all three, so the exclusive two-subject counts are obtained by subtracting the triple intersection. After calculating the only-one and only-two totals, their difference does not match any listed numerical option. Hence the correct choice is 'none of these'.

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