(Q. 1 - 5) Study the information below and answer questions based on it.

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. A team must include exactly one among P, R, and S.
b. A team must include either M or Q, but not both.
c. If a team includes K, then it must also include L, and vice versa.
d. If a team includes one among S, U, and W, then it must also include the other two.
e. 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.

Question 1: Who cannot be a member of a team of size 3?

L

M

N

P

Q


Question 2: Who can be a member of a team of size 5?

K

L

M

P

R


Question 3: What would be the size of the largest possible team?
(1) 8
(2) 7
(3) 6
(4) 5
(5) Cannot be determined

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Question 4: What could be the size of a team that includes K?
(1) 2 or 3
(2) 2 or 4
(3) 3 or 4
(4) Only 2
(5) Only 4

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Question 5: In how many ways a team can be constituted so that the team includes N?
(1) 2
(2) 3
(3) 4
(4) 5
(5) 6

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