Reasoning Ability – Puzzles
Manipur Police Sub‑Inspector (SI) Examination – Study Notes
1. Simple Explanation
Puzzles are a sub‑category of reasoning questions that test logical deduction, pattern recognition, and spatial/temporal reasoning.
Typical puzzle formats include:
| Format | What you’re asked to find | Common clues |
|---|---|---|
| Seating / Arrangement | Order of persons/objects | “X sits next to Y”, “Z is third from left” |
| Grid / Matrix | Relationships between two/three sets | “A is older than B but younger than C” |
| Number Sequences | Next term or hidden pattern | “5, 12, 23, …” |
| Word / Letter Patterns | Hidden words, missing letters | “A‑C‑E‑?‑I” |
| Time / Calendar | Days of week, dates, ages | “If A is 5 years older than B…” |
| Logical Deduction | Conditions & contradictions | “If X is true, then Y must be false” |
The key to success is systematic elimination – list the given facts, draw a simple table or diagram, then use the clues to rule out impossibilities until only one possibility remains.
2. Types of Puzzles & How to Approach Them
| Puzzle Type | Typical Strategy | Tips |
|---|---|---|
| Seating/Arrangement | Create a horizontal row of seats, mark known positions, then fill in the rest using “next to”, “between”, “left of/right of” clues. | Use a grid with columns for positions and rows for people/objects. |
| Grid / Matrix | Draw a table with two (or three) axes (e.g., Person vs. Color). Tick “✓” for confirmed matches, “✗” for impossible pairs. | Each clue usually eliminates or confirms one cell. |
| Number Sequences | Check arithmetic progression, geometric progression, squares, cubes, alternating patterns, or digit‑wise operations. | Write the differences; look for a repeating pattern. |
| Word / Letter Patterns | Check for alphabets, missing letters, anagrams, or word ladders. | Write the sequence and fill in the missing spot; double‑check for multiple solutions. |
| Time / Calendar | Work with dates or ages; convert all to a common unit (days, years). | Use “difference” clues to set up equations. |
| Logical Deduction | List all possible states, then iteratively eliminate using “if‑then” statements. | Keep a truth table or simple note of “possible / impossible” for each condition. |
3. Key Points for Solving Puzzles
- Read All Clues First – Don’t start filling until you know every piece of information.
- Create a Visual Aid – Draw a table, diagram or simple list.
- Mark Known Positions – Place any absolute positions (e.g., “X is third from the left”) immediately.
- Apply Conditional Clues – For each clue, mark what is possible and what is impossible.
- Use Process of Elimination – If a position can’t be anything else, it must be that item.
- Double‑Check Consistency – After filling, verify that every clue is satisfied.
- Keep It Simple – Avoid over‑complicating; most puzzles have a single, clean solution.
4. Worked Example
(Seating Arrangement Puzzle – 5 People)
Clues
- A sits next to C.
- B is somewhere between A and D (not necessarily adjacent).
- E sits at one end.
- D is not at an end.
- C is not next to E.
Goal – Find the seating order from left to right.
Step‑by‑Step Solution
| Step | Action | Result |
|---|---|---|
| 1 | Place E at an end (clue 3). Two possibilities: leftmost or rightmost. | Positions: _ _ _ _ E or E _ _ _ _ |
| 2 | D cannot be at an end (clue 4). So D must be in positions 2–4. | |
| 3 | A sits next to C (clue 1). So A and C occupy adjacent seats. | |
| 4 | C is not next to E (clue 5). Therefore, if E is at position 5, C cannot be at position 4. | |
| 5 | B is somewhere between A and D (clue 2). This forces A and D to be on opposite sides of B. | |
| 6 | Try E at the left end: positions 1–5 = E _ _ _ _. |
- D must be 2–4.
- C cannot be 2 (next to E), so C is 3 or 4.
- A adjacent to C → if C is 3, A could be 2 or 4.
- B must be between A and D.
Checking combinations quickly shows contradiction (no valid placement). | So E cannot be at left end. | | 7 | Therefore E is at the right end: positions 1–5 = _ _ _ _ E. - D not at end → 2–4.