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Question

Six friends are sitting in two lines, one line behind the other line, and all the friends are facing north. Each line has three friends. Jogi is sitting between Vikrant and Saroj. Shrikant is sitting just behind Vikrant. Vaani is to the immediate right of Tripti. Which three persons are sitting in the same line?

The correct answer is

Jogi, Vikrant and Saroj

Solving the Seating Arrangement Puzzle

This question involves a seating arrangement puzzle with six friends sitting in two lines, with three friends in each line, all facing north. We need to use the given clues to determine the arrangement and identify which three friends are in the same line.

Analyzing the Clues

Let's break down the information provided:

  • Six friends: Jogi, Vikrant, Saroj, Shrikant, Vaani, and Tripti.
  • Two lines, three friends per line.
  • All friends are facing north.

Now, let's look at the specific seating relationships:

  1. Jogi is sitting between Vikrant and Saroj.
  2. Shrikant is sitting just behind Vikrant.
  3. Vaani is to the immediate right of Tripti.

Deducing the Seating Arrangement

From clue 1, "Jogi is sitting between Vikrant and Saroj", this means Jogi, Vikrant, and Saroj must be in the same line. The order within that line could be Vikrant - Jogi - Saroj or Saroj - Jogi - Vikrant.

From clue 3, "Vaani is to the immediate right of Tripti", this means Tripti and Vaani must be in the same line and are adjacent. Since Jogi, Vikrant, and Saroj are in one line, Tripti and Vaani must be in the other line. This line contains Tripti, Vaani, and one other person (who must be Shrikant, as he is the only friend remaining).

So, we have two groups of friends for the two lines:

  • Group 1: Jogi, Vikrant, Saroj
  • Group 2: Tripti, Vaani, Shrikant

Now let's use clue 2, "Shrikant is sitting just behind Vikrant". Since everyone is facing north, "behind" means Shrikant is in the line further away from the viewer (the back line), in the position directly corresponding to Vikrant's position in the line closer to the viewer (the front line).

This clue tells us that Vikrant and Shrikant are in different lines. As deduced above, Vikrant is in the line with Jogi and Saroj, and Shrikant is in the line with Tripti and Vaani. This confirms that the line with Jogi, Vikrant, and Saroj is the front line, and the line with Tripti, Vaani, and Shrikant is the back line.

Let's confirm the arrangement using both possible orders for the front line:

Case 1: Front Line Order (Left to Right): Vikrant, Jogi, Saroj

  • Vikrant is in the front line, at the left position.
  • Shrikant is just behind Vikrant, so Shrikant is in the back line, at the left position.
  • The back line contains Shrikant, Tripti, and Vaani. Shrikant is at the left.
  • Vaani is to the immediate right of Tripti. In the back line (L to R), this means Tripti must be before Vaani.
  • So, the back line order (L to R) must be Shrikant, Tripti, Vaani. This arrangement fits all clues: Shrikant is behind Vikrant (both left position), Tripti is immediately left of Vaani.

Proposed Arrangement:

Left Position Middle Position Right Position
Front Line Vikrant Jogi Saroj
Back Line Shrikant Tripti Vaani

Case 2: Front Line Order (Left to Right): Saroj, Jogi, Vikrant

  • Vikrant is in the front line, at the right position.
  • Shrikant is just behind Vikrant, so Shrikant is in the back line, at the right position.
  • The back line contains Shrikant, Tripti, and Vaani. Shrikant is at the right.
  • Vaani is to the immediate right of Tripti. In the back line (L to R), this means Tripti must be before Vaani.
  • So, the back line order (L to R) must be Tripti, Vaani, Shrikant. This arrangement fits all clues: Shrikant is behind Vikrant (both right position), Tripti is immediately left of Vaani.

Proposed Arrangement:

Left Position Middle Position Right Position
Front Line Saroj Jogi Vikrant
Back Line Tripti Vaani Shrikant

In both possible valid arrangements, the friends in the front line are Vikrant, Jogi, and Saroj, and the friends in the back line are Shrikant, Tripti, and Vaani.

Identifying the Friends in the Same Line

Based on our deduction, the three persons in the same line are either (Jogi, Vikrant, Saroj) or (Tripti, Vaani, Shrikant).

Let's check the given options:

  • Option 1: Jogi, Vikrant and Saroj - This group is in the front line.
  • Option 2: Vikrant, Vaani and Tripti - Vikrant is in the front, Vaani and Tripti are in the back. Not in the same line.
  • Option 3: Jogi, Tripti and Vaani - Jogi is in the front, Tripti and Vaani are in the back. Not in the same line.
  • Option 4: Jogi, Vikrant and Tripti - Jogi and Vikrant are in the front, Tripti is in the back. Not in the same line.

Therefore, the three persons sitting in the same line, as listed in the options, are Jogi, Vikrant, and Saroj.

Conclusion

The friends Jogi, Vikrant, and Saroj are sitting in the front line, and the friends Tripti, Vaani, and Shrikant are sitting in the back line. Option 1 correctly identifies Jogi, Vikrant, and Saroj as being in the same line.

Revision Table: Key Concepts in Seating Arrangement

Concept Explanation Application in Problem
Relative Positioning Describing location of one person concerning another (e.g., 'between', 'behind', 'immediate right'). Used to link friends like Jogi, Vikrant, Saroj (between), Vaani & Tripti (right/left), Shrikant & Vikrant (behind).
Linear Arrangement People arranged in a straight line or multiple parallel lines. Six friends in two lines, three per line.
Direction Facing The direction people are looking (e.g., North, South). Affects interpretation of 'left'/'right'. All facing North; right is to their east, left is to their west. 'Behind' means in the line further north.
Deductive Reasoning Using given clues to logically infer unknown information. Combining clues 1 & 3 to group friends into lines, then clue 2 to assign lines (front/back) and relative positions.

Additional Information: Seating Arrangement Strategies

Seating arrangement questions are common in logical reasoning sections of exams. Here are some strategies to tackle them effectively:

  • Visualize or Draw: Creating a diagram or table representing the seating positions (e.g., rows and columns) can help visualize the arrangement.
  • Identify Certain Information First: Start with clues that fix the position of one or more people definitively or link a small group together.
  • Link the Clues: Look for ways different clues connect people or positions. For example, if A is next to B, and B is behind C, these clues can be combined.
  • Consider All Possibilities: If a clue offers multiple options (like the order of Vikrant and Saroj around Jogi), explore each possibility systematically unless another clue eliminates one. In this case, both possibilities led to the same grouping of people per line.
  • Check for Consistency: Once you arrive at a potential arrangement, go back and check if it satisfies every single clue given in the question.
  • Pay Attention to Keywords: Words like "immediate," "exactly," "between," "opposite," "left," "right," "behind," "in front of" have specific meanings that are crucial for accurate deductions.
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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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