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Difficulty: HardAnalytical Puzzles and Grouping

Six policy advisors—Ankit, Bina, Chirag, Deepa, Eshan, and Fatima—are assigned to two special task forces, Task Force Alpha and Task Force Beta, with exactly three members in each task force. Each advisor specializes in exactly one of three domains: Cyber Security, Climate Policy, or Macroeconomics, such that exactly two advisors specialize in each domain.

The assignments adhere to the following conditions:
1. Fatima is assigned to Task Force Alpha and specializes in Cyber Security.
2. Eshan specializes in Climate Policy and is assigned to Task Force Beta.
3. Ankit and Chirag specialize in the same domain but are assigned to different task forces.
4. Deepa specializes in Cyber Security.
5. Bina is assigned to Task Force Beta.

Which of the following statements must be true regarding the domain specialization and task force assignments?

  1. Bina specializes in Climate Policy and is assigned to Task Force Beta.Answer
  2. B
    Deepa is assigned to Task Force Beta and specializes in Cyber Security.
  3. C
    Ankit specializes in Climate Policy and is assigned to Task Force Alpha.
  4. D
    Chirag specializes in Cyber Security and is assigned to Task Force Beta.

Answer

Bina specializes in Climate Policy and is assigned to Task Force Beta.
Deduction shows that Fatima and Deepa occupy both Cyber Security slots. Since Ankit and Chirag share a domain and cannot be Cyber Security or Climate Policy (which would exceed two members with Eshan), Ankit and Chirag must specialize in Macroeconomics. This leaves Bina to fill the second Climate Policy slot. Because Task Force Beta receives Eshan, Bina, and one of Ankit or Chirag, Task Force Beta is full, placing Bina in Task Force Beta with Climate Policy.

Step-by-Step Solution

1
Determine the distribution of domain specializations.
Cyber Security = {Fatima, Deepa}, Climate Policy = {Eshan, Bina}, Macroeconomics = {Ankit, Chirag}.
Fatima and Deepa are given as Cyber Security specialists (2 total). Eshan is Climate Policy. Ankit and Chirag share a domain; if they were Climate Policy, there would be 3 Climate specialists (violating the limit of 2). Thus, Ankit and Chirag must specialize in Macroeconomics. Consequently, Bina must be the second Climate Policy specialist.
2
Determine the task force groupings.
Task Force Alpha = {Fatima, Deepa, Ankit/Chirag}, Task Force Beta = {Eshan, Bina, Chirag/Ankit}.
Fatima is in Alpha and Eshan and Bina are in Beta. Ankit and Chirag split between Alpha and Beta. This fills Task Force Beta with 3 members (Eshan, Bina, and one of Ankit/Chirag). Thus, Deepa must be assigned to Task Force Alpha to complete its 3-member capacity.
3
Evaluate the choices against the deduced setup.
The statement specifying that Bina specializes in Climate Policy and is in Task Force Beta is uniquely and definitively true.
Bina's domain is Climate Policy and her task force is Beta.

Key Concept

Analytical Grouping and Domain Distribution Matrix
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Topics

Analytical Puzzles and Grouping

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