Formation of Team

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(CAT 2006)

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:
1. A team must include exactly one among P, R, and S.
2. A team must include either M or Q, but not both.
3. If a team includes K, then it must also include L, and vice versa.
4. If a team includes one among S, U, and W, then it must also include the other two.
5. L and N cannot be members of the same team.
6. 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.

1. Who cannot be a member of a team of size 3?
a. L
b. M
c. N
d. P
e. Q

2. Who can be a member of a team of size 5?
a. K
b. L
c. M
d. P
e. R

3. What would be the size of the largest possible team?
a. 8
b. 7
c. 6
d. 5
e. Cannot be determined

4. What could be the size of a team that includes K?
a. 2 or 3
b. 2 or 4
c. 3 or 4
d. Only 2
e. Only 4



For answers click here.

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