Logical Questions

Answer The following questions on the basis of the information given below:

K,L,M,N,O,P,Q,R,S,U and W are only ten members in a department. There is a proposal to form a team from with in the members of the department, subject to the following conditions.

· A team must include exactly one among P,Q 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 on among S,U and W, then it must also include the other two

· L and N cannot be members of the same team

· L and U cannot be members of the same team

 

The size of the team defined as the number of members in the team.

 

Questions:

Q1) who cannot be member of a team size 3 ?

(1) L (2) M (3) N (4) P (5) Q

 

Q2) who can be a member of a team size 5 ?

(1) K (2) L (3) M (4) P (5) R

 

Q3) what would be the size of the largest possible team ?

(1) 8 (2) 7 (3) 6 (4) 5 (5) Can not be determined

 

Q4) what would be the size of a team includes K ?

(1) 2 or 3

(2) 2 or 4

(3)3 or 4

(4) only 2

(5) Only 4

 

Q5) 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 & Explanation:

1) Ans – 1

Explanation: If L is in the team K will also be in the same Team. Exactly one among the P,R and S and exactly one among the M and Q are included in the team. hence when L is in the team , the team strength will be atleast four. Hence L cannot be in the team of three.

Options (2) ,(3) and (4) : M,P and N is a Possible Team

Options (5) : P,Q and N is a possible team.

 

2) Ans – 3

Explanation: Options (1) and (2) : If K is in the team , then L is laso included and vice versa.

ð Neither U nor N is included.

When U is not included neither S nor W is included.

From (ii) , only one among M and Q is included.

From (i) Only one among P and R is included.

Hence , the team can be K L M P or K L M R or K L Q P or K L Q R

Option (3) :If M is included , then q cannot be included. If S is included then both U and W are included.

Hence , the team is M , S , U , W and N.

Option (4) and (5) : If any one of P or R is included then S cannot be included.

ð U and W are also not included.

Only one among M and Q is included.

If K is included , then L is also included.

ð N cannot be included.

ð Hence , the team can be (P,M or Q) , (K,L or R) ( K,L and M or Q)

 

3) Ans – 4

Explanation: To have the largest possible team we should include S , U and W.

ð Neither P nor R is included.

Only one among M and Q is included.

Both K and L can included.

Since , L is included neither N nor U can be included.

Hence , the maximum possible strength of the team is 5.

 

4) Ans – 5

If K is included , then L is also included.

ð Both N and U are not included.

Since U is not included neither of s and W is included.

ð The term consists of only four members.

 

 

5) Ans – 5

If N is included , then L is not included.

ð K is not included.

But U may or may not be included.

Case (i): U is included.

ð S and W are also included.

ð Neither P nor R is included.

One among N nor R is included.

Hence , the possible teams are N , U , S , W and P or N , U , S , W and Q.

 

Case (iI): U is Not included.

ð S and W is included.

ð Exactly One Among P and R is included.

 

Exactly One among M and Q is included.

Hence , the possible teams are (N , P and M ) or ( N, P and Q ) or ( N ,R and M) or ( N , R and Q )

Hence the teams can be formed six different ways.