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**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

__Answers:__

__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,

R Q N

P M N,

R 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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