CAT 2006DILR Question 21

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 could be the size of a team that includes K?

Answer & solution

  • A

    2 or 3

  • B

    2 or 4

  • C

    3 or 4

  • D

    Only 2

  • Only 4

Solution

As K is included, L is included. So, N and U cannot be included. As U is not included, S and W are not included. One out of M and Q and one out of P and R will be included.

Thus, the team will include: K, L, (M or Q) and (P or R).

Hence, option (e).

CAT 2006 DILR Q21: What could be the size of a team that includes K? — Solution | TheCATExam