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?
Show Hint
Look for the single region that lies inside all three shapes at the same time: College Students, Singers and Dancers.
The diagram overlaps three rectangles, College Students, Singers and Dancers, and the smaller boxes inside stand for different overlaps between them. The question asks for college students who both sing and dance, so each choice can be checked in turn.
V: this box lies entirely outside the College Students rectangle, so although it means "dancer", it does not mean "college student dancer" at all, which rules it out straight away.
R: this box is where College Students overlaps Dancers only, with no connection to Singers, so it covers dancing college students who do not sing.
S: this box is where College Students overlaps Singers only, with no connection to Dancers, so it covers singing college students who do not dance.
T: this box sits inside all three rectangles together, College Students, Singers and Dancers, so anyone placed here is a college student who both sings and dances at the same time.
Only T lies inside all three groups simultaneously, which is exactly what the question is asking for.
Let's summarize:
V is not even inside College Students, so it cannot be the answer despite mentioning dancers.
R and S each cover only one of the two activities.
T is the triple overlap, covering college students who sing and dance both.
So college students who are dancers as well as singers are represented by T.
