Seven people Tanu, Rano, Beena, Shirin, Kanak, Aditya and Anshul are sitting in a straight row, facing north. Only two people sit to the left of Tanu. Only three people sit between Tanu and Rano. Beena sits second to the right of Shirin. Beena is an immediate neighbour of Rano. Kanak sits to the immediate right of Aditya. Who sits at the extreme right end of the row?
Rano
Solving the Seating Arrangement Puzzle
This question involves arranging seven people in a straight row based on the given clues. All seven people are facing north, which means their left and right correspond to our left and right respectively.
Let's denote the seven positions in the row from left to right as 1, 2, 3, 4, 5, 6, and 7.
We are given the following clues:
- Only two people sit to the left of Tanu.
- Only three people sit between Tanu and Rano.
- Beena sits second to the right of Shirin.
- Beena is an immediate neighbour of Rano.
- Kanak sits to the immediate right of Aditya.
Step-by-Step Deduction
Let's use the clues to determine the seating positions of the seven people: Tanu, Rano, Beena, Shirin, Kanak, Aditya, and Anshul.
Clue 1: Only two people sit to the left of Tanu.
If only two people are to Tanu's left, Tanu must be in the 3rd position from the left end of the row of 7 people.
Arrangement so far:
\(\boxed{\text{Pos 1}}\) \(\boxed{\text{Pos 2}}\) \(\boxed{\text{Tanu}}\) \(\boxed{\text{Pos 4}}\) \(\boxed{\text{Pos 5}}\) \(\boxed{\text{Pos 6}}\) \(\boxed{\text{Pos 7}}\)
Clue 2: Only three people sit between Tanu and Rano.
Tanu is at position 3. There are three people between Tanu and Rano. If Rano is to Tanu's right, Rano's position would be \(3 + 3 + 1 = 7\). If Rano were to Tanu's left, Rano's position would be \(3 - 3 - 1 = -1\), which is not possible as there are only 2 positions to the left of Tanu. Therefore, Rano must be at the 7th position (the extreme right end).
Arrangement so far:
\(\boxed{\text{Pos 1}}\) \(\boxed{\text{Pos 2}}\) \(\boxed{\text{Tanu}}\) \(\boxed{\text{Pos 4}}\) \(\boxed{\text{Pos 5}}\) \(\boxed{\text{Pos 6}}\) \(\boxed{\text{Rano}}\)
Clue 4: Beena is an immediate neighbour of Rano.
Rano is at position 7. In a straight row, Rano's only immediate neighbour is the person at position 6. So, Beena must be at position 6.
Arrangement so far:
\(\boxed{\text{Pos 1}}\) \(\boxed{\text{Pos 2}}\) \(\boxed{\text{Tanu}}\) \(\boxed{\text{Pos 4}}\) \(\boxed{\text{Pos 5}}\) \(\boxed{\text{Beena}}\) \(\boxed{\text{Rano}}\)
Clue 3: Beena sits second to the right of Shirin.
Beena is at position 6. If Beena is second to the right of Shirin, then Shirin must be \(6 - 2 = 4\) positions to Beena's left. So, Shirin is at position 4.
Arrangement so far:
\(\boxed{\text{Pos 1}}\) \(\boxed{\text{Pos 2}}\) \(\boxed{\text{Tanu}}\) \(\boxed{\text{Shirin}}\) \(\boxed{\text{Pos 5}}\) \(\boxed{\text{Beena}}\) \(\boxed{\text{Rano}}\)
Clue 5: Kanak sits to the immediate right of Aditya.
The remaining positions are 1, 2, and 5. The remaining people are Kanak, Aditya, and Anshul. The clue states that Kanak is immediately to the right of Aditya. This means Aditya and Kanak must occupy two adjacent positions with Kanak following Aditya. Looking at the remaining positions (1, 2, and 5), the only adjacent positions available are 1 and 2. Therefore, Aditya must be at position 1 and Kanak must be at position 2.
Arrangement so far:
\(\boxed{\text{Aditya}}\) \(\boxed{\text{Kanak}}\) \(\boxed{\text{Tanu}}\) \(\boxed{\text{Shirin}}\) \(\boxed{\text{Pos 5}}\) \(\boxed{\text{Beena}}\) \(\boxed{\text{Rano}}\)
The only person left is Anshul, and the only position left is position 5. So, Anshul sits at position 5.
Final Arrangement:
\(\boxed{\text{Aditya}}\) \(\boxed{\text{Kanak}}\) \(\boxed{\text{Tanu}}\) \(\boxed{\text{Shirin}}\) \(\boxed{\text{Anshul}}\) \(\boxed{\text{Beena}}\) \(\boxed{\text{Rano}}\)
Identifying the Person at the Extreme Right End
The positions in the row are from 1 (extreme left) to 7 (extreme right). Based on our final arrangement, the person sitting at the 7th position is Rano.
Therefore, Rano sits at the extreme right end of the row.
| Position | Person |
|---|---|
| 1 (Extreme Left) | Aditya |
| 2 | Kanak |
| 3 | Tanu |
| 4 | Shirin |
| 5 | Anshul |
| 6 | Beena |
| 7 (Extreme Right) | Rano |
Conclusion
Based on the step-by-step deduction from the given clues, the seating arrangement places Rano at the extreme right end of the row.
Revision Table: Key Seating Arrangement Clues
| Clue Number | Clue Description | Deduction |
|---|---|---|
| 1 | Only two people sit to the left of Tanu | Tanu is at position 3. |
| 2 | Only three people sit between Tanu and Rano | Rano is at position 7 (extreme right). |
| 4 | Beena is an immediate neighbour of Rano | Beena is at position 6. |
| 3 | Beena sits second to the right of Shirin | Shirin is at position 4. |
| 5 | Kanak sits to the immediate right of Aditya | Aditya is at position 1, Kanak is at position 2 (using remaining spots). |
| Implied | Remaining person and position | Anshul is at position 5. |
Additional Information on Linear Seating Arrangements
Linear seating arrangement problems are common in logical reasoning sections of exams. Here are some key points to remember when solving them:
- Direction: Always note the direction people are facing (north, south, east, west). If facing north, left is left and right is right. If facing south, left is right and right is left.
- Relative Positions: Clues often use terms like "to the left/right of", "immediate left/right", "second to the left/right", "between". Pay close attention to whether the positions are immediate or involve people in between.
- Fixed Positions: Some clues might fix a person's position directly (e.g., at an end) or indirectly (e.g., "only X people are to their left"). These are good starting points.
- Neighbours: "Immediate neighbour" means the person sitting directly next to someone on either side. "Neighbour" can sometimes mean immediate or someone nearby depending on context, but usually implies immediate unless specified otherwise.
- Visual Representation: Drawing a diagram or a straight line with slots helps in visualizing the arrangement as you deduce positions.
- Elimination: As you place people, eliminate their names and positions from the available lists.
- Combining Clues: Often, clues need to be combined to find a position. For example, knowing who Rano's neighbour is helps place Beena based on Rano's position.
- "Only" Clause: The word "only" is crucial. "Only two people to the left of Tanu" means exactly two people are there, fixing Tanu's position precisely.
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Important Questions from Linear Arrangement
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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?
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?
Six people P, Q, R, S, T and U sit in a row, not necessarily in the same order. If two persons sit in between P and Q, and two persons sit in between T and U, then how many persons sit in between R and S?
Six persons P, Q, R, S, T and U are sitting in a row facing north (not necessarily in the same order). Q sits fourth to the right of S. One person sits between P and Q. Three persons sit between R and T. R sits immediate left of P. How many persons sit between T and U?
