Question

Study the diagram below, which shows three overlapping groups, College Students, Singers and Dancers, divided into the labelled regions P, Q, R, S, T, U and V, and answer the question that follows.

College students who are dancers as well as singers are represented by?

• A. T
• B. V
• C. R
• D. S

Hint:

Look for the single region that lies inside all three shapes at the same time: College Students, Singers and Dancers.

Answer 1

The Correct Option is A

Step 1: Read what each labelled region stands for.
The diagram overlaps three rectangles: College Students, Singers and Dancers. Region T is the part shared by all three rectangles at once. Region S is College Students overlapping Singers only, region R is College Students overlapping Dancers only, and region V is Dancers only, with no link to College Students or Singers at all.

Step 2: Translate the question into set language.
We want college students who both sing and dance. This needs the region to sit inside all three rectangles together: College Students, Singers and Dancers.

Step 3: Test each option.
Region V is dancers only and is not even part of the College Students rectangle, so it fails immediately, this is a common trap for students who only check the word "dancer" and forget the "college student" part. Region R is college student and dancer, but has no link to Singers, so it fails the "singer" condition. Region S is college student and singer, but has no link to Dancers, so it fails the "dancer" condition. Region T sits inside College Students, Singers and Dancers all at the same time, satisfying every condition.

Final Answer:
College students who are dancers as well as singers are represented by T. \[ \boxed{T} \]