Solving the Circular Seating Arrangement Puzzle

This problem is a classic example of a circular seating arrangement puzzle, requiring careful logical deduction to determine the positions of the six people: Akash, Binita, Chandan, Daksh, Ekta, and Fatima. They are standing in a circle, and their relative positions are described by several clues.

Analyzing the Seating Clues

Let's break down the information given in the clues:

• Clue 1: Binita is between Daksh and Chandan. This suggests a sequence like Daksh - Binita - Chandan (D-B-C) or Chandan - Binita - Daksh (C-B-D).
• Clue 2: Akash is between Ekta and Chandan. This suggests a sequence like Ekta - Akash - Chandan (E-A-C) or Chandan - Akash - Ekta (C-A-E).
• Clue 3: Fatima is to the right of Daksh. In a circular arrangement, 'right' typically implies the person immediately next in the clockwise direction relative to the person mentioned.

Deducing the Circular Arrangement

We can combine these clues to build the complete arrangement:

1. Let's start by linking Clue 1 and Clue 2 using the common person, Chandan.
2. From Clue 1, we have D-B-C or C-B-D. From Clue 2, we have E-A-C or C-A-E.
3. If we take the sequence ending in C from Clue 1 (D-B-C) and the sequence starting with C from Clue 2 (C-A-E), we can join them: D-B-C-A-E. This gives a partial arrangement of 5 people. In a circle of 6, the missing person, Fatima (F), would be in the gap between the ends, D and E. This would lead to a circular arrangement like F-D-B-C-A-E.
4. Let's check Clue 3 with this arrangement (F-D-B-C-A-E clockwise): Is Fatima to the right of Daksh? Starting at Daksh (D) and moving clockwise, the next person is Binita (B), not Fatima (F). So this arrangement contradicts Clue 3.
5. Let's try the other combination: Take the sequence starting with C from Clue 1 (C-B-D) and the sequence ending with C from Clue 2 (E-A-C). We can join these around C: E-A-C-B-D. This again gives a partial arrangement of 5 people. The missing person, Fatima (F), goes in the gap between E and D in the circle. This leads to the circular arrangement: E-A-C-B-D-F.
6. Now, let's check Clue 3 with this new arrangement (E-A-C-B-D-F clockwise): Is Fatima to the right of Daksh? Starting at Daksh (D) and moving clockwise, the next person is indeed Fatima (F). This arrangement satisfies all three clues.
7. Therefore, the correct circular arrangement is Ekta - Akash - Chandan - Binita - Daksh - Fatima, listed in clockwise order.

Identifying the Person Between Akash and Fatima

The question asks who is between Akash and Fatima in this circular setup. In a circle, "between" typically refers to the person(s) along the shorter path connecting the two individuals.

Looking at our confirmed arrangement (E-A-C-B-D-F):

• Starting from Akash (A) and moving clockwise towards Fatima (F), the sequence is A > Chandan > Binita > Daksh > F. There are three people (Chandan, Binita, Daksh) along this path.
• Starting from Akash (A) and moving counter-clockwise towards Fatima (F), the sequence is A > Ekta > F. There is only one person (Ekta) along this path.

Since the path through Ekta is shorter, Ekta is considered to be between Akash and Fatima.

Summary of the Circular Seating Puzzle Solution

By carefully applying each clue and verifying the resulting arrangement, we determined the positions of everyone in the circle. The final step was to identify the person located on the shortest path between Akash and Fatima. This person is Ekta.

Revision Table: Seating Arrangement Concepts

Additional Information: Tips for Reasoning Puzzles

Solving reasoning puzzles, especially seating arrangements, can be made easier with these tips:

• Always draw a diagram. For circular arrangements, a circle with slots helps visualize positions.
• List all the given conditions clearly before starting.
• Start with the most restrictive or definite clues first.
• Look for connections between clues (e.g., a person mentioned in multiple clues).
• If ambiguity exists early on, explore possibilities systematically, but be ready to discard incorrect paths if they lead to contradictions.
• For circular arrangements, be consistent with your interpretation of 'right' and 'left' (e.g., always use clockwise for right).
• After arriving at a solution, reread all original clues and check if your final arrangement satisfies every single one.