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Question :

Directions : Nine persons - A, B, C, D, E, F, G, H and I work in the same firm but in three different departments - Education, Health and Transportation such that three persons work in each department. The order of their designations is General Manager, Executive Manager, Head, Clerk and Intern. The General Manager is considered as the senior most while the Intern is considered as the juniormost person in the hierarchy. Atleast one and atmost three persons are ranked at the same designation.

G works in the Education department. A and E are ranked at the same designation. Neither A nor E works in Transportation. A is not ranked as the Executive Manager. Only F and H are junior to D. Persons who are ranked as Interns work neither in the Education department nor in the same department as A. C works as the Executive Manager. Only three persons are senior to A. E is senior to D and junior to C. Persons, who are ranked as Head, work in the Health department. B and G are ranked at the same designation. Neither B nor I is ranked as the Clerk. Neither B nor I works in Transportation. Neither A nor F works in the same department as C.

Four of the following five pairs are alike in a certain way and thus forms a group. Which of the following pairs does not belong to the group?

1. E - Head

2. H - Intern

3. D - Clerk

4. I - Executive Manager

5. G - General Manager

Correct Answer : 4
Solution :

Nine persons - A, B, C, D, E, F, G, H and I work in the same firm but in three different departments - Education, Health and Transportation such that three persons work in each department. The order of their designations is General Manager, Executive Manager, Head, Clerk and Intern. The General Manager is considered as the senior most while the Intern is considered as the juniormost person in the hierarchy. Atleast one and atmost three persons are ranked at the same designation.

A and E are ranked at the same designation.

Neither A nor E works in Transportation.

Only F and H are junior to D.

Designations No. of persons Persons
General Manager
Executive manager
Head
ClerkD
Intern2F, H
Case 1Case 2
Departments Persons Persons
EducationA, E
HealthA, E
Transportation

Persons who are ranked as Interns work neither in the Education department nor in the same department as A.

C works as the Executive Manager.

G works in the Education department.

Designations No. of persons Persons
General Manager
Executive managerC
Head
ClerkD
Intern2F, H
Case 1Case 1aCase 2
Departments Persons Persons Persons
EducationA, E, GA, E, GG
HealthF, HA, E
TransportationF, HF, H

Only three persons are senior to A.

Case (i) Case (ii) Case (iii)
Designations No. of persons Persons No. of persons Persons No. of persons Persons
General Manager112
Executive manager1C2C1C
Head1AA
ClerkD, ADD
Intern2F, H2F, H2F, H
Case 1Case 1aCase 2
Departments Persons Persons Persons
EducationA, E, GA, E, GG
HealthF, HA, E
TransportationF, HF, H

E is senior to D and junior to C.

Case (i) Case (ii) Case (iii)
Designations No. of persons Persons No. of persons Persons No. of persons Persons
General Manager112
Executive manager1C2C1C
Head1EA, EA, E
ClerkD, ADD
Intern2F, H2F, H2F, H
Case 1Case 1aCase 2
Departments Persons Persons Persons
EducationA, E, GA, EG
HealthF, HA, E
TransportationF, HF, H

Persons, who are ranked as Head, work in the Health department. Thus, case 1 and case 1a are invalid.

Case 2
Departments Persons
EducationG
HealthA, E
TransportationF, H

B and G are ranked at the same designation. Neither B nor I is ranked as the Clerk.

Thus, case (i) and case (ii) are invalid.

Neither B nor I works in Transportation.

Case (iii)
Designations No. of persons Persons
General Manager2B, G
Executive manager1C
HeadA, E
ClerkD
Intern2F, H
Case 2Case 2a
Departments Persons Persons
EducationG, B, IG, B
HealthA, EA, E, I
TransportationF, HF, H

Neither A nor F works in the same department as C. Thus, case 2 is invalid.

Therefore, the final arrangement is:

Designations No. of persons Persons
General Manager2B, G
Executive manager1C
Head3A, E, I
Clerk1D
Intern2F, H
Departments Persons
EducationG, B, C
HealthA, E, I
TransportationF, H, D

Except option (d), in all other options, the mentioned person is ranked at the mentioned designation.

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