In a survey of 35 people, 16 read Hindi, 14 read English, and 6 read both languages. How many people read only Hindi?
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Answer and explanation
Correct answer: 10
The 16 Hindi readers include the 6 people who read both Hindi and English. To find those who read only Hindi, subtract the intersection from the Hindi set: n(H only) = n(H) − n(H ∩ E) = 16 − 6 = 10. The total of 35 is not needed for this particular calculation. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
The 16 Hindi readers include the 6 people who read both Hindi and English. To find those who read only Hindi, subtract the intersection from the Hindi set: n(H only) = n(H) − n(H ∩ E) = 16 − 6 = 10. The total of 35 is not needed for this particular calculation. Therefore, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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