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Which of the following Venn - diagram correctly illustrates the relationship among the classes : Tennis fans, Cricket players, Students

  • A.Three circles overlapping one another
  • B.A large circle containing two small overlapping circles
  • C.Three circles in a row, each overlapping its neighbour
  • D.A small circle inside a larger circle that is overlapped by a third circle

Answer: A

The answer is diagram 1, three circles each overlapping the other two.

A person can be a tennis fan, a cricket player and a student all at once, and equally any two of these without the third. Every pair of classes therefore shares members, and the three classes share some members too, which is the three-circle diagram where all circles overlap.

Diagram 2 puts tennis fans and cricket players wholly inside students, which would make every fan and every player a student. Diagram 3 leaves the first and third circles apart, so no tennis fan could be a cricket player or the reverse. Diagram 4 places one class entirely inside another, which is not true of any pair.

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