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Difficulty: Very hardAnalytical Puzzles and Grouping

Six urban planning specialists—Alok, Bina, Charan, Divya, Farooq, and Geeta—are divided into two three-member committees, Committee Alpha and Committee Beta, to work on municipal initiatives. Each committee must contain exactly one specialist from each of three domains: Smart Transportation, Green Energy, and Waste Management. Furthermore, each committee must include at least one Senior specialist and at least one Junior specialist.

The following details are known:
1. Alok is a Senior specialist in Smart Transportation, and Bina is a Junior specialist in Green Energy.
2. Alok and Bina are assigned to the same committee.
3. Farooq is a Junior specialist in Green Energy and is assigned to Committee Beta.
4. Charan (Senior) and Divya (Junior) both specialize in Waste Management.
5. Geeta is a Senior specialist in Smart Transportation.
6. Divya is not assigned to the same committee as Farooq.

Based on the information above, which of the following statements are correct?

  1. Committee Alpha consists of Alok, Bina, and Divya.Answer
  2. Committee Beta includes exactly two Senior specialists.Answer
  3. C
    Divya is assigned to Committee Beta alongside Farooq.
  4. D
    Committee Alpha contains more Senior specialists than Junior specialists.

Answer

The statements confirming that Committee Alpha consists of Alok, Bina, and Divya, and that Committee Beta includes exactly two Senior specialists are both correct.
Deducing the full grouping reveals that Committee Alpha consists of Alok (Senior, ST), Bina (Junior, GE), and Divya (Junior, WM), while Committee Beta contains Geeta (Senior, ST), Farooq (Junior, GE), and Charan (Senior, WM). Consequently, the statement claiming Committee Alpha consists of Alok, Bina, and Divya is true, and the statement that Committee Beta includes exactly two Senior specialists (Geeta and Charan) is also true.

Step-by-Step Solution

1
Analyze domain distribution across teams.
Each committee must have 1 Smart Transportation (ST), 1 Green Energy (GE), and 1 Waste Management (WM).
This establishes structural placement for each domain.
2
Assign Green Energy specialists based on clues.
Farooq (Junior, GE) is in Committee Beta. Thus, Bina (Junior, GE) must be in Committee Alpha.
Each committee requires exactly one GE specialist.
3
Assign Smart Transportation specialists using co-location clues.
Alok (Senior, ST) is with Bina in Committee Alpha. Geeta (Senior, ST) must therefore be in Committee Beta.
Alok and Bina are in the same committee, leaving Geeta as the remaining ST specialist for Beta.
4
Assign Waste Management specialists using negative constraint.
Divya (Junior, WM) cannot be with Farooq, so Divya is in Committee Alpha. Charan (Senior, WM) goes to Committee Beta.
Divya is restricted from Committee Beta.
5
Verify complete committee compositions and seniority counts.
Committee Alpha = Alok (Senior, ST), Bina (Junior, GE), Divya (Junior, WM) [1 Senior, 2 Juniors]. Committee Beta = Geeta (Senior, ST), Farooq (Junior, GE), Charan (Senior, WM) [2 Seniors, 1 Junior].
Confirms both seniority and domain rules are satisfied.

Key Concept

Multi-attribute analytical grouping with domain and seniority constraints
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Topics

Analytical Puzzles and Grouping

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