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?
Jogi, Vikrant and Saroj
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.
Let's break down the information provided:
Now, let's look at the specific seating relationships:
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:
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
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
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.
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:
Therefore, the three persons sitting in the same line, as listed in the options, are Jogi, Vikrant, and Saroj.
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.
| 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. |
Seating arrangement questions are common in logical reasoning sections of exams. Here are some strategies to tackle them effectively:
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How many people sit between R and V?