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Zorluk: OrtaAnalytical Puzzles and Grouping

Five state environmental officers—Amrita, Bhuvan, Chetan, Deepti, and Evelyn—are assigned to two environmental monitoring zones: Zone 1 and Zone 2. Exactly three officers are assigned to Zone 1, and two officers are assigned to Zone 2. Each officer specializes in exactly one distinct area: Air Quality, Water Resource, Noise Pollution, Waste Management, or Forest Cover.

The assignment adheres to the following conditions:
1. Amrita and Chetan are assigned to the same zone.
2. The officer specializing in Waste Management is assigned to Zone 2.
3. Bhuvan specializes in Water Resource and is assigned to Zone 1.
4. Deepti is assigned to Zone 2 and specializes in Air Quality.
5. Chetan does not specialize in Noise Pollution.
6. Evelyn is assigned to the same zone as the officer specializing in Waste Management.

Based on the information above, which officer is correctly matched with their assigned specialization in Zone 1?

  1. Amrita - Noise PollutionCevap
  2. B
    Chetan - Noise Pollution
  3. C
    Evelyn - Air Quality
  4. D
    Deepti - Water Resource

Cevap

Amrita is assigned to Zone 1 with the specialization in Noise Pollution.
By resolving the capacities of Zone 1 (3 officers) and Zone 2 (2 officers), Deepti (Air Quality) and Evelyn (Waste Management) fill Zone 2. This leaves Bhuvan (Water Resource), Amrita, and Chetan in Zone 1. Because Chetan cannot take Noise Pollution, Chetan is assigned Forest Cover, which uniquely assigns Noise Pollution to Amrita.

Adım Adım Çözüm

1
Determine officers assigned to Zone 2 and their specializations
Zone 2 consists of Deepti (Air Quality) and Evelyn (Waste Management).
Deepti is in Zone 2 with Air Quality (Condition 4). Waste Management must be in Zone 2 (Condition 2), and Evelyn is in the same zone as Waste Management (Condition 6). Since Zone 2 holds only two officers, Evelyn must be the second officer in Zone 2 and specialize in Waste Management.
2
Determine officers assigned to Zone 1
Zone 1 consists of Bhuvan, Amrita, and Chetan.
Zone 2 is completely filled by Deepti and Evelyn. The remaining three officers—Bhuvan, Amrita, and Chetan—must be in Zone 1 to fulfill the capacity of three officers.
3
Assign specializations to Zone 1 officers
Bhuvan has Water Resource, Chetan has Forest Cover, and Amrita has Noise Pollution.
Bhuvan specializes in Water Resource (Condition 3). The remaining two specializations for Zone 1 are Noise Pollution and Forest Cover. Since Chetan does not specialize in Noise Pollution (Condition 5), Chetan must specialize in Forest Cover, leaving Noise Pollution for Amrita.

Anahtar Kavram

Multi-attribute analytical grouping and constraint satisfaction
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