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Difficulty: HardAnalytical Puzzles and Grouping

Five disaster management specialists—Alok, Bina, Chetan, Divya, and Ekta—are to be assigned to two emergency relief bases: Base Alpha and Base Beta. Each specialist has a distinct primary role: Logistics, Medical, Communications, Operations, or Rescue. The assignment must strictly satisfy the following conditions:

1. Exactly three specialists are assigned to Base Alpha, and two specialists are assigned to Base Beta.
2. The Medical specialist and the Communications specialist must be assigned to the same base.
3. Alok and Divya cannot be assigned to the same base.
4. Chetan is the Rescue specialist and is assigned to Base Beta.
5. Ekta is assigned to Base Alpha, but is neither the Medical specialist nor the Logistics specialist.
6. Bina is the Medical specialist.

Based on the conditions above, which of the following statements MUST be true?

  1. Ekta is the Communications specialist and is assigned to Base Alpha.Answer
  2. B
    Alok is the Operations specialist and is assigned to Base Alpha.
  3. C
    Bina and Chetan are assigned to the same emergency base.
  4. D
    The Logistics specialist is assigned to Base Beta.

Answer

Ekta is the Communications specialist and is assigned to Base Alpha.
Because Base Beta has only 2 slots and contains Chetan (Rescue) along with either Alok or Divya, Base Alpha must contain Bina, Ekta, and the remaining person between Alok and Divya. Bina is the Medical specialist, and since Medical and Communications share the same base, Communications is in Base Alpha. Ekta is in Base Alpha but is neither Medical nor Logistics; hence Ekta must be the Communications specialist.

Step-by-Step Solution

1
Determine base occupancy count and positions for Alok, Divya, and Chetan.
Base Alpha has 3 members and Base Beta has 2 members. Chetan (Rescue) is in Base Beta. Since Alok and Divya must be in different bases, exactly one of them is in Base Beta and the other is in Base Alpha. Thus, Base Beta consists of Chetan and either Alok or Divya.
Base Beta has a maximum capacity of 2 people.
2
Determine members of Base Alpha.
Base Alpha contains Bina, Ekta, and one of {Alok, Divya}.
Since Chetan and one of {Alok, Divya} occupy Base Beta, the remaining three specialists must be in Base Alpha.
3
Determine the location of Medical and Communications roles.
Bina is Medical (given). Since Medical and Communications are at the same base, Communications must also be in Base Alpha.
Base Beta only has one open slot besides Chetan (Rescue), so it cannot accommodate two specialists with Medical and Communications roles.
4
Identify Ekta's role.
In Base Alpha, the roles are Medical (Bina), Communications, and Logistics/Operations. Ekta is in Base Alpha and is not Medical or Logistics. Therefore, Ekta must be the Communications specialist.
Ekta is assigned to Base Alpha and eliminated from being Medical or Logistics by Condition 5.

Key Concept

Analytical Grouping and Constraint Satisfaction Puzzles
Estimated Time:2m 0s
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Topics

Analytical Puzzles and Grouping

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