In a club of 28 members, 15 like music, 13 like dance, and 4 like both. How many members like only dance?
Advertisement
Answer and explanation
Correct answer: 9
The 13 members who like dance include the 4 members who like both music and dance. Therefore, the members who like only dance are found by removing the intersection from the dance set: 13 − 4 = 9. The club total is consistent but is not required for this direct calculation. Hence, option B is correct.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The 13 members who like dance include the 4 members who like both music and dance. Therefore, the members who like only dance are found by removing the intersection from the dance set: 13 − 4 = 9. The club total is consistent but is not required for this direct calculation. Hence, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
Advertisement