CAT 2006DILR Question 24

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.

Who can be a member of a team of size 5?

Answer & solution

  • A

    K

  • B

    L

  • M

  • D

    P

  • E

    R

Solution

If K or L are included, N, U, S and W are excluded. One out of P and R and one out of M and Q are included. Thus the team has only 4 members.

If P or R are included, the team can have M or Q, K and L. This team also has 4 members.

A team having M can have S, U, W and N i.e., 5 members.

Hence, option (c).

CAT 2006 DILR Q24: Who can be a member of a team of size 5? — Solution | TheCATExam