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Question

Difficulty: EasyAnalytical Puzzles and Grouping

Four conference delegates—Farhan, Gita, Harish, and Ira—are to be divided into two discussion panels, Panel 1 and Panel 2, with exactly two delegates on each panel. The assignment must obey the following rules:
1. Farhan and Gita cannot be assigned to the same panel.
2. If Harish is assigned to Panel 1, then Gita must also be assigned to Panel 1.

If Harish is assigned to Panel 1, which pair of delegates must be assigned to Panel 2?

  1. Farhan and IraAnswer
  2. B
    Farhan and Gita
  3. C
    Gita and Ira
  4. D
    Harish and Ira

Answer

Farhan and Ira
When Harish is placed on Panel 1, the condition dictates that Gita must also be on Panel 1. With Panel 1 fully occupied by Harish and Gita (since each panel holds two people), the remaining two delegates, Farhan and Ira, must form Panel 2. This satisfies the rule that Farhan and Gita are on separate panels.

Step-by-Step Solution

1
Determine the composition of Panel 1 based on the given condition and rules.
Harish is assigned to Panel 1. Rule 2 states that if Harish is in Panel 1, Gita must also be in Panel 1. Thus, Panel 1 contains Harish and Gita.
Applying the conditional constraint directly establishes the members of Panel 1.
2
Assign the remaining delegates to Panel 2.
Since each panel has exactly two delegates and Panel 1 is filled with Harish and Gita, the remaining delegates (Farhan and Ira) must be assigned to Panel 2.
Total delegates are 4, divided equally into two panels of 2.
3
Verify all constraints are satisfied.
Farhan is on Panel 2 and Gita is on Panel 1, satisfying Rule 1 (Farhan and Gita cannot be on the same panel).
Ensures the solution is consistent and unique.

Key Concept

Analytical Grouping and Constraint Satisfaction
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Topics

Analytical Puzzles and Grouping

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