Question

Directions:- Study the following information carefully to answer the question 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:-

(i) A team must include exactly one among P, R, and S.
(ii) A team must include either M or Q, but not both.
(iii) If a team Includes K, then it must also include L and vice-versa.
(iv) If a team members are among S, U and W. then it must also include the other two.
(v) L and N cannot be members of the same team.
(vi) 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?

• A. 8
• B. 7
• C. 6
• D. 5
• E. Cannot be determined

Answer 1

The correct option is D 5

S U W ? ?
From (i) and (ii) : S, U, W M/Q ?
From (vi) : L and U cannot be the members of the same learn and also from (iii), K cannot be the member of the team comprising of S, U, W M/Q. Now only N is left because from (i) P and R cannot be the member of this team and also L and K need to be. Clearly the team S, U, W, M/R, N would be the size of the longest team that comprises of 5 members.