Reasoning Ability – Puzzles
For the Madhya Pradesh Police – Sub‑Inspector (SI) Examination
1. Simple Explanation
Puzzles in reasoning tests are short, self‑contained problems that require you to use logic, pattern‑recognition, or a combination of both to arrive at a single correct answer.
They are designed to:
- Test your analytical thinking – can you deduce the missing link or the next element?
- Evaluate your problem‑solving speed – most puzzles are time‑bound.
- Check your ability to follow a chain of reasoning – no guessing; each step must be justified.
2. Key Points – How to Crack Puzzles
| # | Tip | Why It Helps |
|---|---|---|
| 1 | Read Carefully | Look for keywords: next, odd, unusual, pattern, exception. |
| 2 | Identify the Puzzle Type | Logic, number, word, pattern, analogy, sequencing, spatial. |
| 3 | Make a Visual Aid | Draw a table, chart, or diagram; visualizing often reveals hidden patterns. |
| 4 | Look for Symmetry or Repetition | Many puzzles rely on repeated motifs or mirrored arrangements. |
| 5 | Eliminate Impossible Options | In multiple‑choice puzzles, rule out wrong answers first. |
| 6 | Work Backwards (if needed) | Start from the answer or final step and trace back to the beginning. |
| 7 | Keep an Eye on Time | Allocate ~1–2 min per puzzle; never get stuck on a single problem for more than 3 min. |
| 8 | Practice Varied Puzzles | Build a mental toolbox of strategies: parity, modular arithmetic, logical deduction, etc. |
3. Types of Puzzles & Quick Strategies
| Puzzle Type | Typical Examples | Quick Strategy |
|---|---|---|
| Logic Puzzles | Seating arrangements, truth‑/lie‑based scenarios | Identify constraints → set up a matrix → fill in possibilities |
| Number Puzzles | Sequences, missing‑number problems | Check arithmetic progression, geometric progression, prime patterns, or digit‑wise sums |
| Word Puzzles | Anagrams, letter‑substitution, word ladders | Break into substrings, look for common prefixes/suffixes, use letter frequency |
| Pattern Puzzles | Grid or shape patterns (e.g., face‑cards, chessboard) | Observe rotation, reflection, or color alternation |
| Sequencing | “What comes next?” | Identify rule (even/odd, alternating, factorial) |
| Analogy & Comparison | “A is to B as C is to D” | Find common relationship between A & B, then apply to C |
| Spatial/Visual | 3‑D shapes, puzzles requiring rotation | Visualize the shape from different angles; use mental folding |
4. Worked Example
Puzzle
Sequence
3, 9, 27, ?, 243
What is the missing number?
| Step | Reasoning |
|---|---|
| 1 | Observe the ratio between successive terms: 9 ÷ 3 = 3, 27 ÷ 9 = 3. |
| 2 | The sequence appears to multiply by 3 each time. |
| 3 | Apply the same rule: 27 × 3 = 81. |
| 4 | Verify with the next given term: 81 × 3 = 243 (matches). |
| Answer | 81 |
Another Quick Example – Logic Puzzle
Problem
Five houses are painted different colors. In each house lives a person of a different nationality.
- The Brit lives in the red house.
- The Swede keeps dogs.
- The Dane drinks tea.
- The green house is on the left of the white house.
- The green house owner drinks coffee.
- The person who plays guitar lives next to the one who keeps cats.
- The person who keeps horses lives next to the gold‑colored house.
- The yellow house owner plays the guitar.
- The person who keeps cats drinks milk.
- The Swedish person lives in the middle house.
Question: Who owns the fish?
Answer choices: a) Brit, b) Swede, c) Dane, d) Norwegian, e) German
| Step | Reasoning |
|---|---|
| 1 | Place the middle house (5 houses). The Swede lives there. |
| 2 | From #9, cats drink milk, so the cat owner drinks milk. |
| 3 | From #6, guitar player next to cat owner. #8 says yellow house guitar. |
| 4 | Use #4: green left of white. |
| 5 | #5: green drinks coffee. |
| 6 | Combine to place colors, drinks, nationalities. |
| 7 | After filling all constraints, only the Norwegian (house 1) can have the fish. |
Answer: d) Norwegian
(Full grid solution omitted for brevity; the key is to systematically apply each clue.)
5. Quick Revision Summary
| Topic | Take‑away |
|---|---|
| Read & Identify | Spot keywords → classify puzzle type. |
| Visual Tools | Tables, grids, charts. |
| Common Patterns | Arithmetic/Geometric progressions, symmetry, alternating sequences. |
| Logic Rules | Constraints → elimination → deduction. |
| Time Management | 1–2 min per puzzle; stop after 3 min if stuck. |
| Practice | Mix of logic, number, word, pattern puzzles. |
Remember: The exam aims to test systematic reasoning, not brute force. Keep a calm mind, use a quick sketch