Seating Arrangement – Easy Study Notes
(For Tripura Police Sub‑Inspector Exam – Reasoning Ability)
1. What is a Seating Arrangement Question?
Imagine you are putting a group of people in a row of seats.
You must place each person in a seat that satisfies all the given hints (rules).
Every hint tells you something about who sits where compared to others.
The goal: find the exact order of people (or some other property) that fits every hint.
2. Think of It Like a Puzzle
| Step | What to Do | Everyday Analogy |
|---|---|---|
| 1 | Read all hints carefully | Listening to a recipe before you start cooking |
| 2 | List the people (or items) | Write the names of all guests at a party |
| 3 | Make a simple table or line | Draw a row of empty chairs |
| 4 | Place the ones you are sure about first | Seat the host and the host’s spouse first |
| 5 | Use the hints to fill in the rest | Follow the seating chart you made for the party |
| 6 | Check every hint again | Double‑check that everyone is at the right table |
3. Common Hint Types (in plain words)
| Hint | What it Means | Quick Example |
|---|---|---|
| “X sits immediately to the left of Y.” | X is right next to Y, on Y’s left. | X Y |
| “X sits somewhere to the right of Y.” | X is not next to Y, but somewhere after Y. | Y … X |
| “X sits exactly two seats away from Y.” | There are exactly two seats between X and Y. | X _ _ Y |
| “X and Y are separated by exactly one seat.” | One seat sits between X and Y. | X _ Y |
| “X sits between Y and Z.” | Y is left of X and Z is right of X (or vice‑versa). | Y X Z |
| “X sits at an odd‑numbered seat.” | Seats 1, 3, 5, … | 1 X 3 Y |
| “X sits at the far left/right end.” | X is the first or last in the row. | X … or … X |
4. Step‑by‑Step Example
Problem
Five friends – Anna, Ben, Cara, Dan, and Eva – are sitting in a row of five seats.
Hints:
- Ben sits to the right of Anna.
- Cara sits immediately to the left of Dan.
- Eva sits at the far left seat.
- Ben sits two seats away from Eva.
- Anna sits to the left of Dan.
Question: Who sits in the middle seat (seat 3)?
Solution
| Step | Action | Reason |
|---|---|---|
| 1 | Place Eva at seat 1 (far left). | Hint 3 |
| 2 | Ben is two seats away from Eva → Ben must be at seat 4. | Hint 4 |
| 3 | Ben is to the right of Anna → Anna must be seat 2. | Hint 1 |
| 4 | Cara sits immediately left of Dan. | Remaining seats 3 and 5 |
| 5 | Anna is left of Dan → Dan cannot be seat 3 (because Anna is seat 2, Dan would be seat 3 but then Cara would need seat 2, which is taken). | Check consistency |
| 6 | Therefore Dan is seat 5, Cara is seat 3. | Only arrangement that satisfies all hints |
| 7 | Middle seat (seat 3) is Cara. | Answer |
Answer: Cara sits in the middle seat.
5. Quick Tips
- Start with the “fixed” clues (ends, exact positions, or large gaps).
- Use the smallest group first – if you know one person’s seat, the others become easier to place.
- Draw a simple line and fill in what you know.
- Check every hint after placing each person – it helps catch mistakes early.
- Remember “immediately to the left/right” means next to with no seat in between.
6. Mini Practice Questions
| # | Question | Hint(s) |
|---|---|---|
| 1 | **Seven people – A, B, C, D, E, F, G – sit in a row of seven seats.** Find the person in seat 4. |
1. B sits two seats away from D. 2. C sits immediately left of E. 3. F sits to the right of A. 4. G sits at the far right seat. |
| 2 | **Four students – L, M, N, O – sit in a row of four.** Who sits in seat 1? |
1. M sits to the left of N. 2. O sits immediately right of L. 3. L sits in an odd seat. |
| 3 | **Six guests – P, Q, R, S, T, U – in six seats.** Who sits in seat 5? |
1. Q sits immediately left of R. 2. S sits two seats away from T. 3. P sits at seat 1. 4. U sits to the right of S. |
(Try solving them on your own before checking the answers below.)
7. Answers to Practice Questions
| # | Solution |
|---|---|
| 1 | Seat 4 = F |
| 2 | **Seat |