Six friends, Prerna, Priyanka, Rahul, Vishal, Tushar and Shruti, are sitting around a circular table, facing the centre of the table. Priyanka is sitting to the immediate left of Tushar. Vishal is sitting to the immediate left of Rahul. Prerna is second to the right of Vishal. Prerna is sitting between Rahul and Shruti. Who is sitting between Prerna and Vishal?
Rahul
Solving the Circular Table Seating Arrangement Puzzle
This question asks us to figure out the seating arrangement of six friends, Prerna, Priyanka, Rahul, Vishal, Tushar, and Shruti, who are sitting around a circular table facing the center. We are given several clues about their positions relative to each other. To solve this, we should combine the clues to build the arrangement step by step.
Analyzing the Clues for Seating Arrangement
Let's break down the information given:
- Clue 1: Priyanka is sitting to the immediate left of Tushar. This tells us Priyanka and Tushar are neighbors, with Priyanka in the specific position to Tushar's left. We can represent this as (Priyanka, Tushar) in counter-clockwise order or (Tushar, Priyanka) in clockwise order around the table.
- Clue 2: Vishal is sitting to the immediate left of Rahul. Similarly, Vishal and Rahul are neighbors. This is (Vishal, Rahul) in counter-clockwise order or (Rahul, Vishal) in clockwise order.
- Clue 3: Prerna is second to the right of Vishal. In a circular arrangement of 6 people, 'second to the right' means skipping one person between Vishal and Prerna when moving clockwise from Vishal.
- Clue 4: Prerna is sitting between Rahul and Shruti. This means Rahul and Shruti are the immediate neighbors of Prerna. The arrangement around Prerna must be either (Rahul, Prerna, Shruti) or (Shruti, Prerna, Rahul).
Building the Circular Seating Arrangement
Let's start combining the clues. Clues 2 and 4 both involve Rahul and Prerna. Clue 2 says Vishal is immediate left of Rahul. Clue 4 says Prerna is between Rahul and Shruti. This means Rahul and Shruti are Prerna's immediate neighbors.
If Prerna is between Rahul and Shruti, the arrangement around Prerna is either Rahul-Prerna-Shruti or Shruti-Prerna-Rahul. Let's consider the clockwise order. The sequence would be ...Rahul, Prerna, Shruti... or ...Shruti, Prerna, Rahul...
Clue 2 says Vishal is immediate left of Rahul. In clockwise direction, this means Rahul is immediate right of Vishal. So, we have ...Vishal, Rahul...
Let's try fitting this together with Prerna being between Rahul and Shruti. If we have ...Vishal, Rahul..., and Rahul is next to Prerna, the arrangement could start as ...Vishal, Rahul, Prerna... or ...Prerna, Vishal, Rahul... But Clue 4 says Prerna is between Rahul and Shruti, so Prerna must be next to Rahul. The only sequence fitting Vishal-Rahul and Rahul-Prerna-Shruti (or Shruti-Prerna-Rahul) is ...Vishal, Rahul, Prerna, Shruti... (assuming clockwise direction for neighbors).
Let's verify this with Clue 3: Prerna is second to the right of Vishal. Starting from Vishal, moving right (clockwise): 1st to the right of Vishal is Rahul. 2nd to the right of Vishal is Prerna. This matches our partial arrangement: ...Vishal, Rahul, Prerna...
Combined with Clue 4 (Prerna is between Rahul and Shruti), the arrangement segment must be Vishal, Rahul, Prerna, Shruti in clockwise order.
So far, we have arranged Vishal, Rahul, Prerna, and Shruti in sequence. There are 6 people in total. The sequence covers 4 seats contiguously.
The remaining two people are Priyanka and Tushar. They must occupy the remaining two seats. Clue 1 says Priyanka is immediate left of Tushar. In our clockwise sequence, 'left' means counter-clockwise.
Let the seats be numbered 1 to 6 clockwise. If we place Vishal at seat 1, then Rahul is at 2, Prerna at 3, and Shruti at 4. Seats 5 and 6 are left.
Arrangement: Seat 1 (Vishal), Seat 2 (Rahul), Seat 3 (Prerna), Seat 4 (Shruti), Seat 5 (?), Seat 6 (?)
The remaining people, Priyanka and Tushar, must sit in seats 5 and 6. Clue 1: Priyanka is immediate left of Tushar. If Tushar is at seat 6, his immediate left (counter-clockwise) is seat 5. So, Priyanka would be at seat 5. This fits.
The full clockwise arrangement is: Vishal, Rahul, Prerna, Shruti, Priyanka, Tushar.
Let's double check all conditions with this arrangement:
- Priyanka immediate left of Tushar? Yes, moving counter-clockwise from Tushar, we reach Priyanka.
- Vishal immediate left of Rahul? Yes, moving counter-clockwise from Rahul, we reach Vishal.
- Prerna second right of Vishal? From Vishal, 1st right is Rahul, 2nd right is Prerna. Yes.
- Prerna between Rahul and Shruti? Yes, Rahul is to one side, Shruti to the other.
All conditions are satisfied.
The final arrangement in clockwise order is:
| Seat | Friend (Clockwise Order) |
|---|---|
| 1 | Vishal |
| 2 | Rahul |
| 3 | Prerna |
| 4 | Shruti |
| 5 | Priyanka |
| 6 | Tushar |
Identifying the Person Between Prerna and Vishal
The question asks who is sitting between Prerna and Vishal. Looking at our determined clockwise arrangement: Vishal, Rahul, Prerna, Shruti, Priyanka, Tushar. Moving from Vishal towards Prerna in the clockwise direction, we find Rahul. Moving from Prerna towards Vishal in the clockwise direction, we find Shruti, then Priyanka, then Tushar.
Usually, "between" in a circular arrangement when referring to two individuals implies the person(s) on the shorter arc between them. In this case, both directions have people in between. However, the phrase "X is sitting between Y and Z" typically implies Y and Z are X's immediate neighbors. Conversely, "Who is sitting between Y and Z?" often asks for the person(s) on the path between them. Given the options are single individuals, it is most likely asking for the person immediately adjacent to both, i.e., the one neighbor they share.
In the sequence Vishal, Rahul, Prerna, Rahul is adjacent to both Vishal and Prerna. Therefore, Rahul is sitting between Prerna and Vishal (specifically, immediately between them in the clockwise direction from Vishal to Prerna, or counter-clockwise from Prerna to Vishal).
Conclusion on the Seating Arrangement
Based on the logical deduction of the seating arrangement, Rahul is positioned immediately between Vishal and Prerna in one direction around the table.
Revision Table: Key Arrangement Steps
| Step | Clues Used | Deduction |
|---|---|---|
| 1 | Clue 2 (Vishal immediate left of Rahul) | Rahul is immediate right of Vishal (Vishal, Rahul...) |
| 2 | Clue 3 (Prerna second right of Vishal) | From (Vishal, Rahul...), 2nd right of Vishal is Prerna. Prerna is immediate right of Rahul (Vishal, Rahul, Prerna...) |
| 3 | Clue 4 (Prerna between Rahul and Shruti) | Since Prerna is immediate right of Rahul, Shruti must be immediate right of Prerna (Vishal, Rahul, Prerna, Shruti...) |
| 4 | Clue 1 (Priyanka immediate left of Tushar), Remaining people/seats | Priyanka and Tushar fill the last two seats. Priyanka must be immediately counter-clockwise to Tushar (Vishal, Rahul, Prerna, Shruti, Priyanka, Tushar) |
Additional Information: Circular Seating Concepts
When solving circular seating arrangement problems:
- Always assume everyone is facing the center unless stated otherwise. This determines left and right.
- 'Immediate left/right' means the very next person in that direction.
- 'Second to the left/right' means there is one person between the reference person and the person being placed.
- In a circle with N people, the person opposite to someone is at position (N/2) seats away in either direction.
- Start with a strong clue, often one that connects two or three people or places someone relative to a fixed position if given (though not in this problem).
- Build the arrangement step-by-step, adding people based on the clues and checking for consistency.
- Keep track of who is placed and who is remaining.
- Draw a diagram or use placeholders to visualize the seats and people.
Important Questions from Circular Arrangement
P, M, D, A, F, H, R and B are sitting around a circle facing at the centre. R is fourth to the right of A, who is third to the right of P. M is second to the left of H, who is second to the left of P. D is third to the right of B. Which of the following pairs are immediate neighbors of B?
Six people, K, L, M, N, O and P, are sitting on the ground in a hexagonal shape but not necessarily in the same order. K is not sitting next to L or M. N is not sitting next to M or O. L is the neighbour of M. P is in the middle of M and N. What is the correct order of seating positions of the people in clockwise direction?
Six friends, G, H I, J, K and L, are sitting around a circular table, facing towards the centre of the table. H is sitting third to the left of G. L and I are not neighbours of H. K is sitting to the immediate right of I. Who is sitting to the immediate left of L?
Eight friends A, B, C, D, E, F, G and are sitting around a circular table facing each other for a lunch. A is opposite F and third to the right of B. G is between F and D. H is to the left of D. E is between C and A. Who is sitting third to the right of A?
Six friends are sitting at equal distances from each other in a circle and facing the centre of the circle. Diraj is between Pramod and Parthiv. Priyanshu is between Mukund and Laya. Pramod and Mukund are opposite to each other. Laya is to the immediate left of Pramod. Who is sitting to the immediate left of Parthiv?
