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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?

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
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. A, B, C, D, E, F, G and H are sitting around a square table facing the centre of the table. Some of them are sitting at the corners while some are sitting at the exact centre of the sides.

    G sits second to the right of F. B sits second to the right of A. C sits third to the right of H. E sits third to the right of F. C is not the immediate neighbour of A. Who sits second to the right of B?

  2. 6 persons A, B, C, D, E and F are sitting around a rectangular table, facing towards the centre (not necessarily in the same order). One person is sitting on each of the smaller sides. Two persons are sitting on each of the bigger sides. No person is sitting at the corners. C and F are sitting on the same side. B is sitting opposite to A. F is the immediate neighbour of B. A is sitting second to the left of D.

    Counting towards the left of D, how many persons are sitting between A and D?

  3. Seven friends, A, B, C, D, E, F, and G are seating around a square table, facing towards the centre. Some of them are sitting at the corners while some are sitting at the exact centre of the sides of the table. One seat is left vacant. D is sitting exactly at the centre of one of the sides of the table. C is sitting at a corner, third to the left of B. There are exactly two people sitting between C and D. F is an immediate neighbour of both B and D. A is second to the right of F. E is not an immediate neighbour of A, but third to the left of F. G is an immediate neighbour of C. Where is the vacant seat?

  4. Rashmi, Sunita, Mona and Sakshi are sitting around a square table. Rashmi is to the right of Sunita. Mona is to the left of Sakshi. Which of the persons mentioned in the options is sitting opposite to each other?

  5. V, W, X, Y, Z, A, B and C were sitting around a square table facing the centre. Some of these were sitting at corners and some were sitting at exact centre of the sides. C was to the immediate right of W. B was third to the left of Z. A was the immediate neighbour of X and C. Z, not at any corner, was the immediate neighbour of W and Y. Who among the following was sitting third to the right of A?

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