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CAT 2006 — DILR Question 23

SelectionEasy
Passage / Data

Answer the following question based on the information given below.

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions:

  • A team must include exactly one among P, R, and S.
  • A team must include either M or Q, but not both. 
  • If a team includes K, then it must also include L, and vice versa.
  • If a team includes one among S, U, and W, then it must also include the other two.
  • L and N cannot be members of the same team.
  • L and U cannot be members of the same team.
  • The size of a team is defined as the number of members in the team.

What would be the size of the largest possible team?

Answer & solution

  • A

    8

  • B

    7

  • C

    6

  • 5

  • E

    Cannot be determined

Solution

If S is not included, the team can have P or R, M or Q, K and L.

If S is included, the team will have S, U, W, M or Q, N.

This is the largest possible team.

Hence, option (d).

CAT 2006 DILR Q23: What would be the size of the largest possible team? — Solution | TheCATExam