Examkin

Question

Difficulty: HardAnalytical Puzzles and Grouping

Four senior administrative officers—Ananya, Bikram, Chitra, and Dev—are to be assigned to head four different departments (Agriculture, Education, Transport, and Urban Development) across four city postings (Ranchi, Raipur, Shimla, and Dehradun), based on the following analytical conditions:

1. Ananya is not assigned to Ranchi or Dehradun, and does not head Agriculture or Transport.
2. The officer heading Urban Development is posted in Raipur.
3. Bikram heads the Education department, but is posted neither in Dehradun nor in Ranchi.
4. Chitra is posted in Ranchi, but does not head the Transport department.
5. Dev is not posted in Raipur.

Match each officer on the left with their correct department and city posting combination on the right.

  • AnanyaUrban Development (Raipur)
  • BikramEducation (Shimla)
  • ChitraAgriculture (Ranchi)
  • DevTransport (Dehradun)

Answer

Ananya matches with Urban Development (Raipur); Bikram matches with Education (Shimla); Chitra matches with Agriculture (Ranchi); Dev matches with Transport (Dehradun).
Through step-by-step logical elimination of city-department constraints: Chitra is posted in Ranchi. Bikram heads Education and cannot be in Ranchi, Dehradun, or Raipur (reserved for Urban Development), placing Bikram in Shimla. Ananya is not in Ranchi or Dehradun, placing her in Raipur with Urban Development. Dev receives the remaining city (Dehradun) and department (Transport), while Chitra takes Agriculture.

Step-by-Step Solution

1
Determine fixed city allocations for officers where direct or tight constraints exist.
Chitra is posted in Ranchi (Condition 4). Bikram cannot be in Ranchi or Dehradun (Condition 3). Ananya cannot be in Ranchi or Dehradun (Condition 1). Therefore, the only available city options for Bikram and Ananya are Raipur and Shimla.
Eliminating impossible city assignments narrows down the domain for Bikram and Ananya.
2
Analyze department-city linkages to deduce Bikram and Ananya's exact locations and departments.
Condition 2 states the Urban Development head is in Raipur. Condition 3 states Bikram heads Education. Hence, Bikram cannot be in Raipur. This forces Bikram to be posted in Shimla (Education department). Consequently, Ananya must be posted in Raipur, heading Urban Development.
A person cannot head Education while occupying a city reserved exclusively for the head of Urban Development.
3
Determine the city assignment for Dev.
The cities assigned so far are Ranchi (Chitra), Shimla (Bikram), and Raipur (Ananya). The only remaining city is Dehradun, which must be assigned to Dev.
Four distinct officers must map to four distinct cities.
4
Assign remaining departments (Agriculture and Transport) to Chitra and Dev.
Condition 4 specifies Chitra does not head Transport. Thus, Chitra must head Agriculture in Ranchi. This leaves Transport for Dev in Dehradun.
Process of elimination across remaining unassigned attributes.

Key Concept

Matrix Elimination and Analytical Grouping
Rate this question

Topics

Analytical Puzzles and Grouping

More questions from this topic