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Discussion

Study the given diagram carefully and answer the question. The numbers in different sections indicate the number of persons.

A circle (Players) crossed by a downward-pointing triangle (Lawyers) and a rectangle (Singers). Regions: Players only 18 and 17; Players and Lawyers 24; Lawyers only 13; Players and Singers 16; all three 11; Lawyers and Singers 12; Singers only 21.

How many players are singers but not lawyers ?

  • A.24
  • B.17
  • C.12
  • D.16

Answer: D

The number is 16.

Read each region by the shapes it lies in. Players are the circle, Lawyers the triangle and Singers the rectangle. Singers who are players but not lawyers lie inside both the rectangle and the circle but outside the triangle. That region holds 16.

The other numbers belong to other regions: 24 lies in the circle and triangle but not the rectangle (players and lawyers who are not singers); 17 lies in the circle only (players who are neither singers nor lawyers); 12 lies in the triangle and rectangle but outside the circle (singers and lawyers who are not players). The 11 in the circle, triangle and rectangle is the players who are both singers and lawyers, so it is left out.

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