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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
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B
7
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C
6
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D
5
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E
Cannot be determined
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Solution

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.


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