CAT 2006 | Question: 21

Question

Answer the questions based on the information given below:

K, L, M, N, P, Q, R, S, U and W are the only ten members in the 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 the members of the same team.
• L and U cannot be the members of the same team.
• The size of the team is defined as the number of members in the team.

What could be the size of the team that includes K?

• A. $2$ or $3$
• B. $2$ or $4$
• C. $3$ or $4$
• D. only $2$
• E. only $4$