Study Notes – Reasoning Ability
Topic: Puzzles
Exam: Arunachal Pradesh Police Constable
Level: 1st‑Year Police Constable (PC)
Length: ~1 page (Markdown)
1. Simple Explanation
Puzzles in reasoning tests are problems that require you to apply logic, pattern recognition, and deduction to reach a single, usually numerical or verbal, answer.
- No math skills beyond basic arithmetic are needed, though some puzzles involve simple number operations.
- The key is to break the problem into smaller parts, recognize patterns, and systematically eliminate impossible options.
Common puzzle types:
| Type | Typical Question | What to Look For |
|---|---|---|
| Sequence | “Find the next number.” | Arithmetic/Geometric progression, alternating patterns, digit manipulation. |
| Pattern (Visual) | “Which shape comes next?” | Symmetry, rotation, size, color, or position. |
| Deduction | “Who is the murderer?” | Process of elimination, conditional statements. |
| Analogy | “A is to B as C is to D.” | Equivalent relationships (size, function, direction). |
| Riddle | “What walks on four legs in the morning…” | Wordplay, double meanings. |
| Logical Grid | “Match people with their jobs.” | Use a grid to cross‑out impossibilities. |
2. Key Points to Remember
| # | Key Point | Why it matters |
|---|---|---|
| 1 | Read carefully | Puzzles often hide the crucial clue in a single word. |
| 2 | Underline/Highlight | Mark the given facts; separate them from what you need to find. |
| 3 | List possibilities | Write down all options and then rule out the impossible ones. |
| 4 | Look for patterns | Check numbers, letters, shapes, or words for regularity. |
| 5 | Work backwards | When the answer is a single value, start from it and see if it satisfies all clues. |
| 6 | Eliminate | If a clue says “not A and not B,” you can discard both possibilities immediately. |
| 7 | Check consistency | After finding a solution, ensure it satisfies every clue. |
| 8 | Time‑management | Spend 2–3 minutes on a puzzle; if stuck, move on and return if time allows. |
3. Worked Example (Sequence Puzzle)
Question
The series is: 2, 4, 8, 16, …
What is the 5th term?
Step‑by‑Step Solution
-
Identify the pattern
- 2 → 4 (×2)
- 4 → 8 (×2)
- 8 → 16 (×2)
The operation is multiplication by 2.
-
Apply the pattern
- 16 × 2 = 32
-
Answer
- The 5th term is 32.
Check – All terms follow the same rule; no other pattern fits.
More Complex Example (Logical Deduction)
Question
Five people (A, B, C, D, E) are seated around a circular table.
- A is to the left of B.
- C sits opposite D.
- E is between A and D.
Who sits directly across from B?
Solution
| Step | Reasoning | Result |
|---|---|---|
| 1 | “A left of B” → A is immediately counter‑clockwise to B. | Layout: … B – A – … |
| 2 | “C opposite D” → C and D are 3 seats apart. | C – – – D |
| 3 | “E between A and D” → E is somewhere on the arc from A to D, not adjacent. | ... |
| 4 | Place C and D first: | |
| C – – – D (positions 1–4). | ||
| Put A left of B: choose B at position 4, A at 3. | C(1) – – – D(4) | |
| 5 | E must be between A(3) and D(4). The only seat between them is position 2. | E(2) |
| 6 | Remaining seat 5 is for B. | B(5) |
| 7 | Who is opposite B(5)? Opposite seat is 2 (E). | E sits opposite B |
Answer – E sits directly across from B.
4. Quick Revision Summary
- Read & Highlight ➜ Capture facts and unknowns.
- List All Options ➜ Write down every possible answer.
- Eliminate ➜ Cross out impossibilities using clues.
- Look for Patterns ➜ Arithmetic, geometric, alternating, visual, or word patterns.
- Work Backwards ➜ Sometimes easiest to start from the answer.
- Check All Clues ➜ Final solution must satisfy every given statement.
- Time Management ➜ 2–3 min per puzzle; skip only if stuck for >5 min.
Quick Tips for Practice
- Do 10 puzzles a day – mix types.
- Time yourself – aim for 2 min per puzzle.
- Review mistakes – understand why you got it wrong.
- Use a scratch pad – draw grids or sequences to visualize.
- Stay calm – puzzles are about logic, not speed alone.
Good luck! 🎯