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 singers but not dancers are represented by?
Show Hint
Look for the region that lies inside both the College Students and the Singers shapes but stays completely outside the Dancers shape.
The diagram overlaps three rectangles, College Students, Singers and Dancers, and each small labelled box represents one specific combination of these three groups. We need college students who sing but do not dance, so each option can be tested directly.
R: this box is where College Students overlaps Dancers only, with no link to Singers, so people here dance but do not sing, the opposite of what is asked.
P: this box is College Students with no overlap at all, so nobody here sings or dances, which breaks the "singer" condition.
S: this box is where College Students overlaps Singers only, with no connection to Dancers, so everyone here is a college student, sings, and does not dance. This fits the question exactly.
T: this is the shared box for all three rectangles, so anyone here dances as well as sings, breaking the "not a dancer" condition.
Only region S is a college student, a singer, and not a dancer, all at once.
Let's summarize:
R and T both involve dancing, so they are eliminated.
P has no singing link, so it is eliminated too.
S is the college student and singer overlap with no dancing link, matching the question.
So college students who are singers but not dancers are represented by S.
