Solving the Circular Seating Arrangement Puzzle

This question asks us to determine the relative positions of five students standing in a circle and facing the center, based on given clues, and then identify who is immediately to the right of Abhinav.

Let's break down the information and build the arrangement step-by-step:

1. There are five students: Abhinav, Alok, Ankur, Apurva, and Abhishek.
2. They are standing in a circle facing the center. When facing the center of a circle, 'left' is counter-clockwise and 'right' is clockwise.

Now let's use the clues:

• Clue 1: Abhinav is between Alok and Ankur. This means we have a segment of the circle like Alok - Abhinav - Ankur or Ankur - Abhinav - Alok.
• Clue 2: Apurva is on the left of Abhishek. In a circle, moving left is counter-clockwise. So, in the counter-clockwise direction, Abhishek is followed by Apurva.
• Clue 3: Alok is on the left of Apurva. Following the counter-clockwise direction, Apurva is followed by Alok.

Let's combine Clue 2 and Clue 3. We have a sequence in the counter-clockwise (Left) direction:

Abhishek $\rightarrow$ Apurva $\rightarrow$ Alok

Now, let's incorporate Clue 1: Abhinav is between Alok and Ankur. Since we know Alok's position relative to others, Abhinav must be next to Alok, and Ankur must be on the other side of Abhinav.

Considering the counter-clockwise sequence Abhishek $\rightarrow$ Apurva $\rightarrow$ Alok, the next person in the counter-clockwise direction must be Abhinav (to be between Alok and Ankur). And after Abhinav must be Ankur.

So, the sequence in the counter-clockwise direction extends to:

Abhishek $\rightarrow$ Apurva $\rightarrow$ Alok $\rightarrow$ Abhinav $\rightarrow$ Ankur

Since there are only five students and they are in a circle, the sequence must complete the circle. The person on the left of Ankur must be Abhishek to close the loop. Let's check if this fits: Ankur $\rightarrow$ Abhishek (counter-clockwise). Yes, this completes the circle.

The full circular arrangement in the counter-clockwise (Left) direction is:

Abhishek, Apurva, Alok, Abhinav, Ankur

The question asks who is sitting immediately right of Abhinav. 'Right' is the clockwise direction. Let's look at our counter-clockwise sequence:

... $\rightarrow$ Alok $\rightarrow$ Abhinav $\rightarrow$ Ankur $\rightarrow$ ...

Moving right (clockwise) from Abhinav means going in the opposite direction of the arrows in our counter-clockwise sequence. So, moving right from Abhinav takes us to the person before Abhinav in the counter-clockwise sequence.

In the sequence Abhishek, Apurva, Alok, Abhinav, Ankur, the person immediately before Abhinav (in the counter-clockwise sequence) is Alok.

Therefore, Alok is immediately to the right of Abhinav.

Let's visualize the clockwise (Right) arrangement:

Starting from Abhishek and moving clockwise:

Abhishek $\rightarrow$ Ankur $\rightarrow$ Abhinav $\rightarrow$ Alok $\rightarrow$ Apurva

In this clockwise sequence, the person immediately after Abhinav is Alok.

Final check of clues with the clockwise arrangement (Abhishek, Ankur, Abhinav, Alok, Apurva):

• Abhinav is between Alok and Ankur: Yes, Ankur $\rightarrow$ Abhinav $\rightarrow$ Alok (clockwise).
• Apurva is on the left (counter-clockwise) of Abhishek: Yes, moving counter-clockwise from Abhishek takes us to Apurva (Abhishek $\leftarrow$ Apurva).
• Alok is on the left (counter-clockwise) of Apurva: Yes, moving counter-clockwise from Apurva takes us to Alok (Apurva $\leftarrow$ Alok).

All clues are satisfied by the arrangement.

Based on the arrangement, the person immediately right (clockwise) of Abhinav is Alok.

Revision Table: Seating Arrangement Clues

Additional Information on Circular Arrangements

Circular arrangement problems are common in logical reasoning sections of competitive exams. Here are a few key points to remember:

• Direction: Always clarify whether 'left' and 'right' refer to the perspective of the person facing the center or an external observer. In typical problems where people face the center, 'left' is counter-clockwise and 'right' is clockwise.
• Relative Positioning: Clues often provide relative positions (e.g., 'to the left of', 'to the right of', 'between'). Build the arrangement by linking these relative positions.
• Fixed Positions: Sometimes a clue might fix one person's position to a specific spot (e.g., 'Person A is at the top'). If not, the final arrangement is relative, but the relationships between individuals are fixed.
• Completing the Circle: Once you have a sequence of N-1 people, the position of the Nth person is determined, completing the circle.
• Double Check: After forming the complete arrangement, reread all the clues and verify that the arrangement satisfies every condition given in the problem.
• Number of People: The number of people dictates the size of the circle and how many steps 'to the left' or 'to the right' a position is from another.