Question

Given below is a diagram of three circles X, Y and Z which represent musicians, singers and dancers, respectively. The circles intersect with each other and form regions a, b, c and d. Select the region that represents musicians who are singers but not dancers.

• A. Only c
• B. Only d
• C. a and d
• D. b and d

Answer 1

The Correct Option is B

To solve this problem, we need to analyze the Venn diagram and identify the region that represents musicians who are singers but not dancers. Here's a step-by-step explanation:

1. Understand the Circles:
   • Circle X represents musicians.
   • Circle Y represents singers.
   • Circle Z represents dancers.
2. Identify the Intersection of Musicians and Singers:
   • The intersection of Circle X (musicians) and Circle Y (singers) represents those who are both musicians and singers.
3. Exclude Dancers:
   • We need to find those who are musicians and singers but not dancers, which means excluding Circle Z (dancers).
4. Analyze Regions in the Venn Diagram:
   • Region c: Represents singers who are dancers but not musicians.
   • Region d: Represents individuals who are musicians and singers but not dancers (since it's outside Circle Z).
   • Regions a and b: Include dancers, so they do not satisfy our requirement.
5. Conclusion:
   • The region that represents musicians who are singers but not dancers is Only d.

Therefore, the correct option is Only d.