Question

Difficulty: HardAnalytical Puzzles and Grouping

Six researchers—Farhan, Gita, Harish, Ishita, Jay, and Kavya—are assigned to three fieldwork teams (Team Red, Team Blue, and Team Green), with exactly two researchers per team. Each researcher specializes in one of three domains: Wildlife, Botany, or Hydrology, such that exactly two researchers belong to each specialization, and no team has two members with the same specialization.

The assignments follow these conditions:
1. Farhan is a Hydrology specialist and is assigned to Team Red.
2. Harish and Ishita are assigned to the same team, and neither of them is a Wildlife specialist.
3. Gita is a Wildlife specialist and is not assigned to Team Blue.
4. Kavya is a Botany specialist and is assigned to Team Blue.

Which of the following statements must be true?

  1. Jay is a Wildlife specialist and is assigned to Team Blue.Answer
  2. B
    Jay is a Hydrology specialist and is assigned to Team Red.
  3. C
    Harish is a Wildlife specialist and is assigned to Team Green.
  4. D
    Gita is assigned to Team Green alongside Ishita.

Answer

Jay is a Wildlife specialist and is assigned to Team Blue.
By analyzing team sizes of two, Harish and Ishita form the complete Team Green. Since Gita cannot be in Team Blue, Gita joins Farhan in Team Red, leaving Jay to join Kavya in Team Blue. Accounting for domain distribution (2 Wildlife, 2 Botany, 2 Hydrology), Harish and Ishita take one Botany and one Hydrology slot. This exhausts all Botany and Hydrology slots, forcing Jay to be a Wildlife specialist in Team Blue.

Step-by-Step Solution

1
Determine Team Green members
Team Green consists of Harish and Ishita.
Since Harish and Ishita are in the same team of two, they fill a complete team. Farhan is in Team Red and Kavya is in Team Blue, so Harish and Ishita must be in Team Green.
2
Determine Team Red and Team Blue members
Gita is in Team Red; Jay is in Team Blue.
Remaining unassigned researchers are Gita and Jay for Team Red and Team Blue. Gita cannot be in Team Blue (Condition 3), so Gita goes to Team Red and Jay goes to Team Blue.
3
Deduce specializations across all researchers
Jay must specialize in Wildlife.
Team Green members (Harish and Ishita) are not Wildlife, leaving them with one Botany and one Hydrology specialization. This uses up the 2nd Botany (with Kavya) and 2nd Hydrology (with Farhan). Thus, Jay cannot be Botany or Hydrology, making Jay the 2nd Wildlife specialist.

Key Concept

Multi-Constraint Matrix Grouping and Elimination
Estimated Time:2m 0s
Rate this question