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Question

Please read the given information carefully and then answer the given questions.

6 friends Mahesh, Nisha, Oliver, Prakash, Kasim and Ratish were sitting in the center of a center around a hexagonal table in a coffee shop.

i) Nisha is sitting at the right hand side of Mahesh.

ii) Oliver is not sitting in front of Nisha.

iii) Ratish and Prakash are sitting in the corner in front of each other.

iv) Mahesh is not a neighbor of Prakash.

Who is sitting between Ratish and Nisha right?

The correct answer is

Mahesh

Solving the Hexagonal Seating Puzzle

This problem involves a seating arrangement puzzle where six friends (Mahesh, Nisha, Oliver, Prakash, Kasim, and Ratish) are sitting around a hexagonal table. We need to use the given clues to figure out everyone's position and then answer the specific question asked.

Understanding the Hexagonal Table

A hexagonal table has six sides and six seats. In a standard hexagonal arrangement, opposite seats are directly across from each other.

Analyzing the Clues

Let's break down the information given:

  • Clue i): Nisha is sitting at the right hand side of Mahesh. This means if you are Mahesh, Nisha is immediately to your right.
  • Clue ii): Oliver is not sitting in front of Nisha. 'In front of' usually means directly opposite at a hexagonal table.
  • Clue iii): Ratish and Prakash are sitting in the corner in front of each other. This means Ratish and Prakash are sitting in opposite seats.
  • Clue iv): Mahesh is not a neighbor of Prakash. Mahesh is not sitting next to Prakash.

Step-by-Step Deduction Process

Let's try to place the friends based on the clues:

  1. Start with the strongest clue (iii): Ratish and Prakash are opposite each other. Let's arbitrarily place Ratish in one seat. The seat directly opposite him must be occupied by Prakash.
  2. Use clue iv: Mahesh is not next to Prakash. This eliminates the two seats adjacent to Prakash's seat as possibilities for Mahesh.
  3. Use clue i: Nisha is immediately to the right of Mahesh. We need to find a seat for Mahesh such that the seat to his right is empty and not Prakash's or Ratish's (if they are opposite). Also, Mahesh cannot be next to Prakash (from step 2). Let's visualize the table or number the seats 1-6 clockwise. If Ratish is at 1, Prakash is at 4 (opposite). Mahesh cannot be at 3 or 5 (neighboring Prakash at 4). So Mahesh can be at 2 or 6.
    • If Mahesh is at 6, Nisha is to his right at seat 1. But seat 1 is taken by Ratish. So this is not possible.
    • If Mahesh is at 2, Nisha is to his right at seat 3. This fits clue i. Mahesh at 2 is not next to Prakash at 4 (neighbors of 4 are 3 and 5), satisfying clue iv. This placement works so far.
  4. Placement so far: If Ratish is at 1, Prakash is at 4, Mahesh is at 2, and Nisha is at 3. The remaining seats are 5 and 6. The remaining friends are Oliver and Kasim.
  5. Use clue ii: Oliver is not in front of Nisha. Nisha is at seat 3. The seat in front of (opposite) seat 3 is seat 6. So, Oliver cannot be at seat 6. This means Oliver must be at seat 5.
  6. Final placement: With Oliver at seat 5, the only remaining person, Kasim, must be at seat 6.

Checking the Arrangement

Let's list the seating arrangement in order, starting from Ratish and going clockwise:

Ratish, Mahesh, Nisha, Prakash, Oliver, Kasim

Let's verify all clues:

  • i) Nisha is right of Mahesh: Yes, Nisha is immediately clockwise to Mahesh.
  • ii) Oliver is not in front of Nisha: Oliver is between Prakash and Kasim. Nisha is between Mahesh and Prakash. Oliver is not opposite Nisha. Yes.
  • iii) Ratish and Prakash are opposite: Yes, they are across from each other in this sequence of 6.
  • iv) Mahesh is not a neighbor of Prakash: Mahesh is next to Nisha, and Prakash is next to Nisha and Oliver. Mahesh and Prakash are not next to each other. Yes.

All clues are satisfied with this arrangement.

Answering the Question

The question asks: Who is sitting between Ratish and Nisha right?

Looking at our arrangement: Ratish, Mahesh, Nisha, Prakash, Oliver, Kasim.

Moving from Ratish towards Nisha in the clockwise direction (which is typically considered 'right' around a table unless specified otherwise), we see Mahesh is between them.

Final Answer

Based on the seating arrangement, the person sitting between Ratish and Nisha is Mahesh.

Seat Position (e.g., Clockwise from Ratish) Friend
1 Ratish
2 Mahesh
3 Nisha
4 Prakash
5 Oliver
6 Kasim

Revision Table: Hexagonal Seating Clues and Deductions

Clue Deduction/Action Impact on Arrangement
iii) Ratish and Prakash opposite Place Ratish and Prakash in opposite seats. Fixes relative positions of R & P.
iv) Mahesh not neighbor of Prakash Mahesh cannot be next to Prakash. Restricts possible seats for Mahesh.
i) Nisha right of Mahesh Place Nisha immediately to Mahesh's right. Links Mahesh's and Nisha's positions.
Remaining seats & people Oliver and Kasim in remaining two seats. Limits options for O & K.
ii) Oliver not in front of Nisha Oliver cannot be in the seat opposite Nisha. Determines exact seats for Oliver and Kasim.
Question: Who between Ratish and Nisha (right)? Identify the person in the clockwise direction from Ratish to Nisha. Find the friend in the deduced sequence.

Additional Information: Logical Reasoning Puzzles

Seating arrangement puzzles are a common type of logical reasoning question. They test your ability to process multiple conditions and deduce a final layout or sequence. Key strategies include:

  • Starting with the most restrictive or absolute clues (like "opposite" or "immediately next to").
  • Using negative clues ("not next to," "not opposite") to eliminate possibilities.
  • Sketching a diagram (like a circle or hexagon) to represent the seats can be very helpful.
  • Considering different starting points if the first attempt doesn't work.
  • Carefully re-reading clues and checking your final arrangement against all conditions.

These puzzles help develop critical thinking and spatial reasoning skills.

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Important Questions from Polygon Arrangement

  1. Four friends, H, I, J and K, are sitting at the four corners of a square facing towards the centre. H and J are sitting at diagonally opposite corners. I is sitting to the immediate left of H. Who is sitting to the immediate right of J?

  2. Four friends named A, B, C, and D are sitting around a square table in a restaurant. If B is sitting in front of A and diagonally opposite to D, then who is sitting in front of C?

  3. Five persons, A, B, C, D and E, are sitting at each corner of a pentagonal table, facing the centre. C is to the right of A and is second to the left of D. E is not between A and D. Who is sitting third to the left of E?

  4. Eight boys, P, Q, R, S, T, U, V and W, are seated around a round table, not necessarily in same order, but with equal spacing between them and all facing the centre of the table. S is seated exactly opposite to P, who has U and R as his immediate neighbours. T is seated immediately next to V, who is to the immediate right of S. Q is exactly opposite to T and does not have R as his immediate neighbour. With this information, which of the following statements is correct?

  5. A group of friends are sitting in an arrangement with one each at the corner of an octagon. All are facing the centre. Medha is sitting diagonally opposite Radha. Medha is on Seema’s left. Raman is next to Seema and opposite Govind. Govind is on Chandra’s right. Shanti is not on Medha’s right but is opposite to Shashi. Who is opposite Chandra?

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