## Logical Reasoning Questions with Answers

January 5th, 2012 Posted in Logical Reasoning

Answer questions 1 to 5 on the basis of the information 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:

• 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.CAT 2006
• L and N cannot be members of the same team.
• 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. 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
Ans. e. As K is included, L is included. So, N and U cannot be included. As U is not included, S and W are not included. One out of M and Q and one out of P and R will be included.
Thus, the team will include: K, L, (M or Q) and (P or R).
Hence, option e.

2. In how many ways a team can be constituted so that the team includes N?
a. 2
b. 3
c. 4
d. 5
e. 6
Ans. e. If the team includes N, it does not include L and K.
One out of M and Q can be included and one out of P, S and R can be included.
If S is a member, so are U and W.
Thus the possible teams are:
1. N, M, P
2. N, M, R
3. N, Q, P
4. N, Q, R
5. N, M, S, U, W
6. N, Q, S, U, W
Hence, option e.

3. What would be the size of the largest possible team?
a. 8
b. 7
c. 6
d. 5
e. Cannot be determined
Ans. d. If S is not included, the team can have P or R, M or Q, K and L.
If S is included, the team will have S, U, W, M or Q, N.
This is the largest possible team.
Hence, option d.

4. Who can be a member of a team of size 5?
a. K
b. L
c. M
d. P
e. R
Ans. c. If K or L are included, N, U, S and W are excluded. One out of P and R and one out
of M and Q are included. Thus the team has only 4 members.
If P or R are included, the team can have M or Q, K and L. This team also has 4
members.
A team having M can have S, U, W and N i.e., 5 members.
Hence, option c.

5. Who cannot be a member of a team of size 3?
a. L
b. M
c. N
d. P
e. Q
Ans. a. A team sized 3 has to have M or Q and P or R. The only other member that can be
selected all alone is N.
L cannot be selected as K has to be selected with him.
Hence, option a.

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