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Zorluk: ZorAnalytical Puzzles and Grouping

Six environmental inspectors—Farhan, Gita, Harish, Indu, Jay, and Kavya—are divided into two equal three-member teams, Team Alpha and Team Beta, to conduct field audits. Each inspector specializes in exactly one of three domains: Ecology, Geology, or Hydrology, such that exactly two inspectors belong to each domain.

The team assignments and domain specializations satisfy the following conditions:
1. Farhan and Kavya are both assigned to Team Alpha.
2. Harish and Indu both specialize in Geology, but they are assigned to different teams.
3. Farhan and Gita share the same domain specialization, which is Hydrology.
4. Kavya specializes in Ecology, and the two Ecology specialists are assigned to different teams.
5. Jay is assigned to Team Beta.

Which of the following statements must be definitively true regarding the team composition and domain specializations?

  1. Jay specializes in Ecology and is assigned to Team Beta alongside a Hydrology specialist.Cevap
  2. B
    Gita specializes in Ecology and is assigned to Team Alpha alongside Farhan.
  3. C
    Harish and Indu are both assigned to Team Alpha, leaving Team Beta with no Geology specialists.
  4. D
    Team Alpha consists entirely of specialists in Hydrology and Geology, with no Ecology specialist present.

Cevap

Jay specializes in Ecology and is assigned to Team Beta alongside a Hydrology specialist.
The correct answer stating that Jay specializes in Ecology and is assigned to Team Beta alongside a Hydrology specialist is definitively true. Farhan and Kavya take two spots in Team Alpha. Since Harish and Indu must be split between the two teams, one takes the final spot in Team Alpha, forcing Gita and Jay into Team Beta. Given that Kavya (Ecology) is in Team Alpha and the Ecology specialists are split, Jay must be the Ecology specialist in Team Beta, working alongside Gita, who is a Hydrology specialist.

Adım Adım Çözüm

1
Determine team memberships for all six inspectors.
Team Alpha has Farhan, Kavya, and one of Harish/Indu. Team Beta has Gita, Jay, and the remaining inspector of Harish/Indu.
Farhan and Kavya are in Team Alpha (2 members). Harish and Indu are in different teams, so exactly one is in Team Alpha, filling Team Alpha's 3rd spot. Thus, Jay and Gita must be in Team Beta along with the second Geology specialist.
2
Deduce domain specializations for Farhan and Gita.
Farhan and Gita both specialize in Hydrology.
Condition 3 explicitly states that Farhan and Gita share the Hydrology specialization.
3
Deduce domain specializations for Harish and Indu.
Harish and Indu both specialize in Geology.
Condition 2 explicitly states that Harish and Indu both specialize in Geology.
4
Deduce domain specializations for Kavya and Jay.
Kavya and Jay both specialize in Ecology.
Kavya specializes in Ecology (Condition 4). Since the two Ecology specialists are in different teams and Kavya is in Team Alpha, the second Ecology specialist must be in Team Beta. In Team Beta, Gita is Hydrology and one member is Geology, leaving Jay as the second Ecology specialist.
5
Synthesize Team Beta's final composition.
Team Beta consists of Gita (Hydrology), Jay (Ecology), and either Harish or Indu (Geology).
Combining step 1 team assignments with step 4 domain deductions confirms Jay specializes in Ecology and serves on Team Beta with Gita (Hydrology).

Anahtar Kavram

Multi-Constraint Matrix Grouping and Attribute Elimination
Tahmini Süre:2m 0s
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Analytical Puzzles and Grouping

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