SBI PO Mains 2017: Puzzle Quiz - Set 2

Hello and welcome to exampundit. Here is a set of Puzzle for SBI PO Mains 2017.

Directions for questions 1 to 5: Answer the questions 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:
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?
(1) L
(2) M
(3) N
(4) P
(5) Q

2. Who can be a member of a team of size 5?
(1) K
(2) L
(3) M
(4) P
(5) R

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

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

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


For questions 1 to 5:

From statement one, team would include exactly one among P, R, S
P (or) R (or) S.
From statement two, team would include either M, or Q
M but not Q
(or) Q but not M
From statement three, if a team includes K, it will include L or vice versa.
K, L always accompany each other.
From statement four, if one of S, U, W is included, then the other two also have to be included.
S, U, W are always together.
From statement five, L and N cannot be included together
L, N are never together.
From statement six, L and U cannot be included together.
L, U are never together.

1. 1 From statements one and two; one of P, R, S and one of M, Q are to be selected. We require one more member.
But from statement three; (K, L) are always together.
Hence 'L' cannot be included in a team of 3 members.

2. 3 Again, from statement one; one of P, R, S has to be selected.
To make a team of '5'
'S' will be chosen (which leaves out P and R)
If 'S' is chosen 'U' and ‘W’ have to be chosen
(statement four)
If 'U' is chosen 'L' cannot be chosen (statement five)
K cannot be chosen (statement three)
And from statement two; one of M (or) Q has to be chosen.

3. 4 From statements one and two
Two members are to be selected.
Of the remaining seven;
To maximize the size of the team.
We would chose S,
U and W are included in the team (statement four)
We cannot include K (or) L because we would then have to leave out N and U (from statements five and six)

4. 5 If 'K' is included, 'L' has to be included (statement (3))
If 'L' is chosen, neither N nor U can be chosen (statements (5) and (6))
S, W are also not included because S, U, W have to be always together. (Statement (4))
Hence one of P (or) R would be selected (statement
(1)) and one of M (or) Q would be selected (statement (2))
 (K, L) and two of the above five have to be included.

5. 5 If a team includes N, it cannot include 'L', and therefore, not even 'K'. (from statement five and three)
According to statement (1), one of P or R or S has to be included.
According to statement (2), one of M or Q has to be selected.
So the following cases are possible
P Q N,
P M N,
If 'S' is selected, then S U W M N and S U W Q N are the only possible cases.

Hence, in all 4 + 2 = 6 teams can be constituted.



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