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Question

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?

The correct answer is

I

Solving the Square Seating Arrangement Puzzle

This question asks us to determine the position of friends sitting at the corners of a square based on given clues. We need to use logical deduction to figure out the seating arrangement.

Understanding the Setup

  • There are four friends: H, I, J, and K.
  • They are sitting at the four corners of a square.
  • They are all facing towards the center of the square.

Analyzing the Clues

  1. Clue 1: H and J are sitting at diagonally opposite corners.

    In a square, diagonal corners are opposite each other. If we place H at one corner, J must be at the corner farthest from H across the center.

  2. Clue 2: I is sitting to the immediate left of H.

    Since everyone is facing the center, "immediate left" means the person in the position reached by turning left from H's perspective. In a square, this will be the adjacent corner in the counter-clockwise direction relative to H's position when facing the center.

Deducing the Arrangement

Let's visualize the square and place the friends. We can pick any corner to start with H. Let's assume H is at the top-left corner. Since everyone faces the center:

  • H is at a corner (say, top-left).
  • J is diagonally opposite to H (so, bottom-right).
  • I is to the immediate left of H. From the top-left corner facing the center, turning left leads to the bottom-left corner. So, I is at the bottom-left corner.
  • The remaining person is K, who must be at the only remaining corner (top-right).

So, the positions in a clockwise direction could be: H (top-left) → K (top-right) → J (bottom-right) → I (bottom-left).

Let's verify the conditions:

  • H and J are diagonally opposite (top-left and bottom-right). Yes.
  • I is immediate left of H. H is at top-left, facing center. Immediate left is bottom-left, where I is. Yes.

The arrangement is consistent with the clues. Now, let's place this arrangement in a simple diagram form:

Facing Center
H K
| |
I J

In this diagram, the corners are labeled with the person sitting there. The lines represent the sides of the square. The friends are facing inwards.

Finding Who is Sitting to the Immediate Right of J

J is sitting at the bottom-right corner, facing the center. To find who is to J's immediate right, we need to imagine standing at J's position (bottom-right, facing center) and turning right. Turning right from the bottom-right corner facing the center leads to the bottom-left corner.

Who is sitting at the bottom-left corner?

According to our deduced arrangement, I is sitting at the bottom-left corner.

Therefore, I is sitting to the immediate right of J.

Person Example Position Facing Direction Immediate Left Immediate Right
H Top-Left Center Bottom-Left (I) Top-Right (K)
I Bottom-Left Center Bottom-Right (J) Top-Left (H)
J Bottom-Right Center Top-Right (K) Bottom-Left (I)
K Top-Right Center Top-Left (H) Bottom-Right (J)

From the table, we can see that the person immediately to the right of J is I.

Revision Table: Key Concepts

Concept Explanation
Seating Arrangement Arranging people or objects in specific positions based on given conditions.
Square Arrangement People are seated at the corners or sides of a square.
Facing Center When people face the center, their left and right are determined relative to the inside of the shape.
Immediate Left/Right The person seated at the adjacent position in the specified direction (left or right).
Diagonally Opposite Positions that are across the center from each other.

Additional Information: Solving Seating Puzzles

Seating arrangement questions are common in logical reasoning sections. They test your ability to interpret information and deduce relationships between individuals based on their positions.

  • Always start by drawing a diagram of the shape (line, circle, square, rectangle, etc.).
  • Place individuals based on the most definite clues first (like diagonals, fixed positions, etc.).
  • Use 'left' and 'right' relative to the direction people are facing (center, outside, specific direction).
  • Break down complex clues into smaller steps.
  • Verify your final arrangement against all the given conditions.
  • For a circular or square table where everyone faces the center: immediate left is the next person in the counter-clockwise direction, and immediate right is the next person in the clockwise direction.
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Important Questions from Polygon Arrangement

  1. 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?

  2. 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?

  3. 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?

  4. 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?

  5. Who is sitting in front of Tinu?

    A. Ritwik

    B. Kazi

    C. Prem

    D. Sunny

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