Preeti, Umang, Shrina, Palak and Amrita are sitting in a straight line, all facing the north. Palak is sitting at the left corner. Umang is third to the right of Shrina. Preeti is to the immediate left of Amrita. Who is sitting to the immediate left of Umang?
Solving the Seating Arrangement Puzzle
This question involves arranging five people - Preeti, Umang, Shrina, Palak, and Amrita - in a straight line based on given conditions. All individuals are facing North, which means 'left' is to our left and 'right' is to our right as we read the line.
Let's break down the clues and determine the seating order step by step.
Analyzing the Clues
- "Palak is sitting at the left corner."
- "Umang is third to the right of Shrina."
- "Preeti is to the immediate left of Amrita."
Step-by-Step Solution
Step 1: Placing Palak
The line has 5 positions. Since Palak is at the left corner and they are facing North, Palak is at the first position from the left.
Line so far: Palak | \_ | \_ | \_ | \_
Positions: 1 2 3 4 5
Step 2: Analyzing Umang and Shrina's Positions
Umang is third to the right of Shrina. This means there are two people between Shrina and Umang.
- If Shrina is at position 1, Umang would be at position 4 (1 + 3 = 4). But position 1 is Palak.
- If Shrina is at position 2, Umang would be at position 5 (2 + 3 = 5). This is a possibility.
- If Shrina is at position 3, Umang would be at position 6 (3 + 3 = 6). There are only 5 positions.
So, based on the 5 positions available and Palak at position 1, the only possible placement for Shrina and Umang according to the second clue is Shrina at position 2 and Umang at position 5.
Line so far: Palak | Shrina | \_ | \_ | Umang
Positions: 1 2 3 4 5
Step 3: Analyzing Preeti and Amrita's Positions
Preeti is to the immediate left of Amrita. This means Preeti and Amrita are sitting next to each other in that order (Preeti, Amrita).
Looking at the line after Step 2, the only two consecutive empty positions are 3 and 4.
Line so far: Palak | Shrina | \_ | \_ | Umang
Positions: 1 2 3 4 5
The pair (Preeti, Amrita) must occupy positions 3 and 4.
- Preeti must be at position 3.
- Amrita must be at position 4.
Step 4: Final Seating Arrangement
Combining all the clues, we get the final arrangement:
| Position | Person |
|---|---|
| 1 (Left Corner) | Palak |
| 2 | Shrina |
| 3 | Preeti |
| 4 | Amrita |
| 5 (Right Corner) | Umang |
Step 5: Finding Who is Immediate Left of Umang
The question asks who is sitting to the immediate left of Umang.
Umang is at position 5.
The position immediately to the left of position 5 is position 4.
According to our final arrangement, Amrita is sitting at position 4.
Therefore, Amrita is sitting to the immediate left of Umang.
Revision Table: Key Conditions & Deductions
| Condition | Deduction | Impact on Arrangement (Positions 1-5) |
|---|---|---|
| Palak at left corner | Palak is at Position 1 | P | ? | ? | ? | ? |
| Umang 3rd to right of Shrina | (S, U) must have 2 people between them. Given Palak at 1, only (S at 2, U at 5) works. | P | S | ? | ? | U |
| Preeti immediate left of Amrita | (Preeti, Amrita) sit together. Remaining spots are 3 & 4. | P | S | Pr | A | U |
Additional Information: Linear Seating Arrangement Basics
Linear seating arrangement problems require careful step-by-step deduction based on the given clues. When facing North, 'left' corresponds to movement towards position 1, and 'right' corresponds to movement towards position 5 in a 5-person line.
- "Immediate left/right" means the very next person.
- "Nth to the left/right" means there are N-1 people between the two individuals. For example, "third to the right" means 3-1=2 people are in between.
- "Corners" refer to the two ends of the line.
It's often helpful to draw a diagram or use placeholders (\_) for positions to visualize the arrangement as you deduce the positions of individuals.
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Important Questions from Linear Arrangement
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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?
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?
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How many people sit between R and V?
