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Question

Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
The correct answer is

Gopal

Understanding the Linear Seating Arrangement Puzzle

This question is a linear seating arrangement puzzle. We have six people sitting in a straight line, all facing the north. We are given several clues about their relative positions and one fixed position. We need to determine the initial arrangement, then simulate a position swap between two people, and finally identify who is sitting between two specific people in the final arrangement.

The key is to use the given clues systematically to deduce the position of each person in the line.

Deducing the Initial Seating Arrangement

Let's break down the clues and build the arrangement step-by-step for the six positions, numbered 1 to 6 from left to right as they face North:

  1. Sripad is at the second place from the right end.
    • The right end is position 6.
    • The second place from the right end is position 5.
    • So, Sripad is at position 5.
    • Arrangement so far: _ _ _ _ Sripad _
    • Positions:           1 2 3 4 5       6
  2. Shresta is between Anamika and Sripad.
    • Sripad is at position 5.
    • For Shresta to be between Anamika and Sripad, they must be in consecutive positions.
    • The possible positions for Anamika and Shresta are 3 and 4, or 4 and 3.
    • If Anamika is at 4 and Shresta at 3, the sequence would be _ _ Shresta Anamika Sripad _. This doesn't fit "Shresta is *between* Anamika and Sripad" in a linear sense unless Anamika is on one side and Sripad on the other with Shresta in the middle. The phrasing implies they are adjacent or close. Given Sripad is at 5, the only way Shresta can be *directly* between them is if Anamika is at 3 and Shresta at 4, forming A-S-Sripad (positions 3-4-5). If Anamika were at 6, Shresta would need to be at 5 (which is Sripad) or 4 to be between Sripad (5) and Anamika (6). Shresta at 4 and Anamika at 6 fits the description of Shresta being between them, but doesn't use positions 3,4,5 consecutively. Let's assume the most common interpretation for "between" in seating arrangements involving 3 people is consecutive positions: Anamika Shresta Sripad or Sripad Shresta Anamika. Since Sripad is at 5, the sequence must be Anamika (3) Shresta (4) Sripad (5).
    • So, Anamika is at position 3 and Shresta is at position 4.
    • Arrangement so far: _ _ Anamika Shresta Sripad _
    • Positions:            1 2 3        4        5       6
  3. Nischal is to the immediate left of Gopal.
    • This means they are sitting next to each other in the order Nischal then Gopal (N G).
    • Looking at the current arrangement, the empty spots are 1, 2, and 6.
    • The pair (N G) can only fit into positions 1 and 2.
    • If Nischal is at 1, Gopal is at 2.
    • Arrangement so far: Nischal Gopal Anamika Shresta Sripad _
    • Positions:            1       2       3        4        5       6
  4. Four persons are sitting between Nischal and Vanmayi.
    • Nischal is at position 1.
    • For four persons to be between Nischal and Vanmayi, Vanmayi must be at position 1 + 4 + 1 = 6. (N - P1 - P2 - P3 - P4 - V).
    • The only remaining empty position is 6. This fits Vanmayi.
    • So, Vanmayi is at position 6.

Let's verify the complete initial arrangement against all clues:

Position 1 2 3 4 5 6
Person Nischal Gopal Anamika Shresta Sripad Vanmayi

  • Nischal is to the immediate left of Gopal: Nischal (1) is left of Gopal (2). Correct.
  • Shresta is between Anamika and Sripad: Anamika (3), Shresta (4), Sripad (5). Correct.
  • Sripad is at the second place from the right end: Sripad (5) is 2nd from the right end (6). Correct.
  • Four persons are sitting between Nischal and Vanmayi: Nischal (1) and Vanmayi (6). Persons between them are Gopal (2), Anamika (3), Shresta (4), Sripad (5) - that's 4 people. Correct.

The initial arrangement is confirmed: Nischal, Gopal, Anamika, Shresta, Sripad, Vanmayi.

Performing the Interchange

The question states that Gopal and Sripad interchange their positions.

  • Gopal's initial position is 2.
  • Sripad's initial position is 5.
  • After interchange, Gopal will be at position 5, and Sripad will be at position 2.
  • Other persons remain in their original positions.

The new arrangement is:

Position 1 2 3 4 5 6
Person Nischal Sripad Anamika Shresta Gopal Vanmayi

Finding the Person Between Vanmayi and Shresta

In the new arrangement, we need to find who is sitting between Vanmayi and Shresta.

  • Vanmayi is at position 6.
  • Shresta is at position 4.
  • Looking at the new arrangement (Nischal, Sripad, Anamika, Shresta, Gopal, Vanmayi), the person sitting between positions 4 (Shresta) and 6 (Vanmayi) is the person at position 5.
  • The person at position 5 is Gopal.

Therefore, after Gopal and Sripad interchange their positions, Gopal will be sitting between Vanmayi and Shresta.

Revision Table: Key Information at a Glance

Stage Positions 1-6 (Left to Right)
Initial Arrangement Nischal, Gopal, Anamika, Shresta, Sripad, Vanmayi
Interchange (Gopal <--> Sripad) Nischal, Sripad, Anamika, Shresta, Gopal, Vanmayi
Vanmayi's position (New) 6
Shresta's position (New) 4
Person between Vanmayi (6) and Shresta (4) Person at position 5 (Gopal)

Additional Information: Tips for Solving Seating Arrangement Puzzles

  • Always start with the most definitive clues, like a person's fixed position from an end.
  • Represent the arrangement visually, like drawing a line or using placeholders.
  • Note down constraints like "immediate left/right" or "between".
  • Consider all possibilities when a clue is ambiguous, but try to eliminate possibilities as you incorporate more clues.
  • For "between" involving three people, it usually implies they are consecutive in the line.
  • For "between" involving two people with a number of people between them, count the positions carefully.
  • If there's an interchange, update the arrangement carefully before answering the final question.
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Important Questions from Linear Arrangement

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  2. Five friends, Shruti, Shreya, Anup, Ankit and Kiran, are sitting in a row facing towards the south. Shruti is between Shreya and Anup. Kiran and Shreya are sitting at the extreme ends of the west and east, respectively. Who is sitting in the middle?

  3. Five students are standing in a line. Suman is standing next to Pranav but not next to Deena. Kumar is standing next to Raju, who is standing on the extreme left, and Deena is not standing next to Kumar.

    Who is standing in the middle?
  4. Eight friends, A, B, C, D, E, F, G and H, are sitting in a straight line, all facing the north. F is sitting between D and G. B is sitting between H and A. E is third to the left of G. G is sitting at one of the corners. H is third to the left of C. Who is sitting between A and E?

  5. Five students are sitting in a row. Akbar is to the left of the person sitting in the middle, but to the right of Sekar. Prakash is to the right of Deva, and Ram is to the right of Prakash. Ram is second from the person sitting in the middle. Who is the person sitting in the middle?

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