In a survey, 24 students chose Hindi, 18 chose English, and 10 chose both languages. How many students chose only English?
Answer and explanation
Correct answer: 8
The 18 students counted in the English group include the 10 students who chose both Hindi and English. To obtain the number who chose English only, remove the overlap: only English = n(English) − n(Hindi ∩ English) = 18 − 10 = 8. Therefore, 8 students chose only English. The Hindi total is not needed for this particular calculation.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The 18 students counted in the English group include the 10 students who chose both Hindi and English. To obtain the number who chose English only, remove the overlap: only English = n(English) − n(Hindi ∩ English) = 18 − 10 = 8. Therefore, 8 students chose only English. The Hindi total is not needed for this particular calculation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
