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Question

Six friends, Ravi, Kavya, Mahima, Gita, Mohan and Neha, are sitting in a straight line, all facing the north. Kavya is not sitting at either of the ends. Neha is sitting between Ravi and Mohan. Mohan is sitting to the immediate right of Gita. There are three friends sitting between Ravi and Kavya. Kavya is sitting to the immediate right of Mahima. Who is sitting at the fifth position from the left end?

The correct answer is

Neha

Understanding the Seating Arrangement Puzzle

This question is a classic linear seating arrangement puzzle. We are given clues about the relative positions of six friends sitting in a straight line, all facing North. Our goal is to use these clues to determine the exact order in which they are sitting and then identify the person at the fifth position from the left end.

Step-by-Step Deduction Process

Let's represent the six positions from left to right as 1, 2, 3, 4, 5, and 6.

  1. The clue "There are three friends sitting between Ravi and Kavya" tells us their positions have a gap of four places between them. Possible pairs of positions for (Ravi, Kavya) or (Kavya, Ravi) are (1, 5), (2, 6), (5, 1), or (6, 2).
  2. "Kavya is not sitting at either of the ends" means Kavya cannot be at position 1 or 6. This eliminates the possibilities (1, 5), (6, 2), and (5, 1) for (Ravi, Kavya). The only remaining possibilities with Kavya not at an end are:
    • Kavya at position 2, Ravi at position 6.
    • Kavya at position 5, Ravi at position 1.
  3. "Kavya is sitting to the immediate right of Mahima". Since everyone is facing North, "immediate right" means Mahima is immediately to Kavya's left. So, Mahima and Kavya sit together as a pair (Mahima, Kavya).
    • If Kavya is at position 2, Mahima must be at position 1. This fits our first possibility from step 2. Arrangement so far: Mahima (1), Kavya (2), \_ , \_ , \_ , Ravi (6).
    • If Kavya is at position 5, Mahima must be at position 4. This fits our second possibility from step 2. Arrangement so far: Ravi (1), \_ , \_ , Mahima (4), Kavya (5), \_ .
  4. "Mohan is sitting to the immediate right of Gita". This means Gita and Mohan sit together as a pair (Gita, Mohan).
  5. "Neha is sitting between Ravi and Mohan". This implies the sequence of these three friends must be either Ravi, Neha, Mohan or Mohan, Neha, Ravi.

Let's evaluate the two possible arrangements derived in step 3:

Case 1: Mahima (1), Kavya (2), \_ , \_ , \_ , Ravi (6)

  • The remaining positions are 3, 4, and 5.
  • The remaining friends are Gita, Mohan, and Neha.
  • The pair (Gita, Mohan) must occupy adjacent positions. The only possible adjacent slots among 3, 4, 5 are (3, 4) or (4, 5).
  • If (Gita, Mohan) are at (3, 4), then Neha must be at position 5. The arrangement becomes: Mahima (1), Kavya (2), Gita (3), Mohan (4), Neha (5), Ravi (6). Let's check all conditions:
    • Kavya (2) not at ends - Yes.
    • Neha (5) between Ravi (6) and Mohan (4) - Yes, position 5 is between positions 4 and 6.
    • Mohan (4) immediate right of Gita (3) - Yes.
    • Three friends (Gita, Mohan, Neha) between Ravi (6) and Kavya (2) - Yes.
    • Kavya (2) immediate right of Mahima (1) - Yes.
    All conditions are met with this arrangement.
  • If (Gita, Mohan) are at (4, 5), then Neha must be at position 3. The arrangement becomes: Mahima (1), Kavya (2), Neha (3), Gita (4), Mohan (5), Ravi (6). Let's check the condition "Neha is sitting between Ravi and Mohan". Ravi (6), Mohan (5). Neha (3) is not between positions 5 and 6. This arrangement is not valid.

Case 2: Ravi (1), \_ , \_ , Mahima (4), Kavya (5), \_

  • The remaining positions are 2, 3, and 6.
  • The remaining friends are Gita, Mohan, and Neha.
  • The pair (Gita, Mohan) must occupy adjacent positions. The only possible adjacent slots among 2, 3, 6 are (2, 3).
  • If (Gita, Mohan) are at (2, 3), then Neha must be at position 6. The arrangement becomes: Ravi (1), Gita (2), Mohan (3), Mahima (4), Kavya (5), Neha (6). Let's check the condition "Neha is sitting between Ravi and Mohan". Ravi (1), Mohan (3). Neha (6) is not between positions 1 and 3. Also, Neha is at an end, but the condition "Neha is sitting between Ravi and Mohan" usually implies they are within the sequence, not at the ends. This arrangement is not valid.

The only valid seating arrangement is: Mahima, Kavya, Gita, Mohan, Neha, Ravi.

Let's list the positions from left to right:

Position Friend
1st (Left End) Mahima
2nd Kavya
3rd Gita
4th Mohan
5th Neha
6th (Right End) Ravi

The question asks who is sitting at the fifth position from the left end. Based on our confirmed arrangement, the person at the fifth position is Neha.

Revision Table: Seating Arrangement Clues

Clue Implication How it fit (Final Arrangement)
6 friends, straight line, North facing 6 ordered positions (1 to 6 left to right) M-K-G-M-N-R (1-2-3-4-5-6)
Kavya not at ends Kavya <> Pos 1 or 6 Kavya is at Pos 2
Neha between Ravi and Mohan Sequence R-N-M or M-N-R (not necessarily adjacent) Ravi (6), Neha (5), Mohan (4). Pos 5 is between Pos 4 & 6.
Mohan immediate right of Gita Pair: (Gita, Mohan) Gita (3), Mohan (4) form the pair
Three friends between Ravi and Kavya Gap of 4 positions (e.g., Pos 1 & 6) Ravi (6), Kavya (2). Friends in between are Gita (3), Mohan (4), Neha (5) - three friends.
Kavya immediate right of Mahima Pair: (Mahima, Kavya) Mahima (1), Kavya (2) form the pair

Additional Information: Solving Seating Arrangement Puzzles

Seating arrangement questions are common in logical reasoning sections of exams. Here are some tips for solving them:

  • Always start by understanding the setup (linear or circular, facing direction).
  • Draw a diagram representing the positions. For linear arrangements, a simple line with numbered slots works well.
  • Note down direct clues first (e.g., X is at an end, Y is at position 3).
  • Link relative clues (e.g., A is to the left of B, C is between D and E). Look for pairs or groups that sit together.
  • Combine clues to narrow down possibilities. If a clue eliminates an option, cross it out.
  • If multiple possibilities remain, pursue each case systematically until one contradicts a clue. The case that satisfies all clues is the correct one.
  • Pay close attention to words like "immediate right/left", "to the right/left", "between", "at the ends".
  • Once the arrangement is complete, double-check it against every single clue given in the question.
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Important Questions from Linear Arrangement

  1. Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?

  2. P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?

  3. 5 boys A, B, C, D and E are sitting in a row. E is sitting between D and A, B is to the right of A, C is at one of the extreme ends and C and D are sitting next to each other. Which of the following statement is false?

  4. Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?

  5. Seven friends P, Q, R, S, T, U, and V are sitting in a straight line facing north. Q sits fifth to the right of T. Q does not sit at any of the extreme ends. Two people sit between U and R. S sits third to the left of V. S sits exactly in the middle. U is not an immediate neighbour of P.

    How many people sit between R and V?

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