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 | | |
Clerk | | D |
Intern | 2 | F, H |
| Case 1 | Case 2 |
Departments | Persons | Persons |
Education | A, E | |
Health | | A, 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 manager | | C |
Head | | |
Clerk | | D |
Intern | 2 | F, H |
| Case 1 | Case 1a | Case 2 |
Departments | Persons | Persons | Persons |
Education | A, E, G | A, E, G | G |
Health | F, H | | A, E |
Transportation | | F, H | F, 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 Manager | 1 | | 1 | | 2 | |
Executive manager | 1 | C | 2 | C | 1 | C |
Head | 1 | | | A | | A |
Clerk | | D, A | | D | | D |
Intern | 2 | F, H | 2 | F, H | 2 | F, H |
| Case 1 | Case 1a | Case 2 |
Departments | Persons | Persons | Persons |
Education | A, E, G | A, E, G | G |
Health | F, H | | A, E |
Transportation | | F, H | F, 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 Manager | 1 | | 1 | | 2 | |
Executive manager | 1 | C | 2 | C | 1 | C |
Head | 1 | E | | A, E | | A, E |
Clerk | | D, A | | D | | D |
Intern | 2 | F, H | 2 | F, H | 2 | F, H |
| Case 1 | Case 1a | Case 2 |
Departments | Persons | Persons | Persons |
Education | A, E, G | A, E | G |
Health | F, H | | A, E |
Transportation | | F, H | F, H |
Persons, who are ranked as Head, work in the Health department. Thus, case 1 and case 1a are invalid.
| Case 2 |
Departments | Persons |
Education | G |
Health | A, E |
Transportation | F, 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 Manager | 2 | B, G |
Executive manager | 1 | C |
Head | | A, E |
Clerk | | D |
Intern | 2 | F, H |
| Case 2 | Case 2a |
Departments | Persons | Persons |
Education | G, B, I | G, B |
Health | A, E | A, E, I |
Transportation | F, H | F, 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 Manager | 2 | B, G |
Executive manager | 1 | C |
Head | 3 | A, E, I |
Clerk | 1 | D |
Intern | 2 | F, H |
Departments | Persons |
Education | G, B, C |
Health | A, E, I |
Transportation | F, H, D |
Except option (d), in all other options, the mentioned person is ranked at the mentioned designation.