Direction to solve:

In such type of questions, a few essential criteria for the selection of a group of items are given. The candidate has to keep these conditions in mind and make the required selection as per the directions given in each question.


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1.

The Director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the School's Board of Directors. The faculty-student committee consists of exactly four faculty members -K, L, M and N - and four students - P, Q, R and S. The Director can select any of the committee members as representatives as long as he observes the following restrictions

(i) The group of four representatives must consist of exactly two faculty members and two students.

(ii) Either K or L must be one of the representatives, but K and L cannot both be representatives.

(iii) If P is a representative, M must also be a representative.

(iv) If R is a representative, L cannot be a representative.

If P is a representative, which of the following cannot also be a representative?

 


A) N

B) M

C) Q

D) R



2.

In an examination, six subjects were available for a candidate of which only three had to be offered under the following conditions:

One who offered A had to offer B also and vice versa.

One who offered A could not offer E.

One who ordered C or D could not offer F.

The distribution of the candidates over the subjects was as follows :

A - 70, B - 70; C - 90; D - 85; E - 70; F - 35

How many candidates offered the combination A + B + C?


A) 15

B) 20

C) 35

D) 70



3.

From amongst five doctors A, B, C, D and E, four engineers G, H, K and L and six teachers M, N, O, P, Q and R, some teams are to be selected. Of these, A, B, G, H, O, P and Q are females and the rest are males.

The formation of teams is subject to the following conditions:

 Wherever there is a male doctor, there will be no female teacher. Wherever there is a male engineer, there will be no female doctor. There shall not be more than two male teachers in any team.

If the team consists of two doctors, three female teachers and two engineer, the members of the team are


A) A,B,O,P,Q,G,H

B) C,D,K,L,O,P,Q

C) C,D,O,P,Q,G,H

D) D,E,G,HO,P,Q



4.

A company wants to select a team of four call centre executives from its South Indian Centre for transfer to North India where they are going to set up a new centre. The company is managed by professional managers and is very particular about human resources and. personnel relation.There are seven team members of equal ability X, Y and Z (who are Senior), and A,B, C and D (who are Junior). The company requires that there should be two senior executives and two junior executives in the team. It is also necessary that all of the executives in a particular team are friendly with each other in order to have a real team spirit and avoid any personnel relations problem in the new centre being set up in the North.

Following is the situation of relations among the seven executives:

(i) Y and A are not friendly.

(ii) Z and, C are not friendly.

(iii) A and B are not friendly.

If both Y and Z are selected, which of the executives must be on the team with them?

 


A) Both B and A

B) Both B and D

C) both C and D

D) Only D



5.

There are five men A, B, C, D and E and six women P, Q, R, S, T and U. A, B and R are advocates; C, D, P, Q and S are doctors and the rest are teachers. Some teams are to be selected from amongst these eleven persons subject to the following conditions :

A, P and U have to be together.

B cannot go with D or R.

E and Q have to be together.

C and T have to be together.

D and P cannot go together.

C cannot go with Q.

If the team is to consist of two advocates, two doctors, two teachers and not more than three ladies, the members of the team are


A) A,B,C,P,T,U

B) A,C,P,R,T,U

C) A,E,P,Q,R,T

D) B,C,E,Q,R,T



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