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Direction: The following question consists of three statements numbered I, II and III. Decide if data given in the statements are sufficient to answer the questions below.

A, B, C, D, and E study in same school, where playing one sport is mandatory out of the five sports i.e. Cricket, Volleyball, Basketball, Hockey, and Kabaddi. No two students play the same sport in this case. What sport does A play?

I. B and C play Kabaddi and Basketball but not necessarily in the same order.

II. D plays either Cricket or Volleyball.

III. A does not play volleyball and E does not play Hockey.

  1. All the statements are needed
  2. Only I and II are sufficient
  3. Only II and III are sufficient
  4. Only I and III are sufficient
  5. Insufficient data

Answer (Detailed Solution Below)

Option 1 : All the statements are needed
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Detailed Solution

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According to statement I:

(As B and C play Kabaddi and Basketball, it leaves us with Cricket, Hockey and Volleyball for rest of the students.)

According to statement III:

(A does not play volleyball, implies he plays either Cricket or Hockey.

Also E does not play hockey.)

According to statement II:

(D also does not play Hockey. So now we know that B, C, D, and E does not play Hockey. Implies A plays Hockey.)

Hence, all the statements are required to get the answer.

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