Reasoning Ability – Puzzles
Target Exam: Chhattisgarh Police Constable (CGPC)
Chapter Focus: Puzzles (Logical & Pattern‑Based)
1. Simple Explanation
A puzzle in reasoning tests is a problem that requires you to:
- Identify hidden patterns (in numbers, letters, shapes, or words).
- Deduce logical relationships between given items.
- Apply rules (often implicit) to find the missing element or solve the riddle.
They are usually short, self‑contained, and demand quick, clear thinking rather than deep knowledge.
2. Key Points to Master
| Puzzle Type | What to Look For | Common Strategy | Tip |
|---|---|---|---|
| Number Series | Arithmetic, geometric, alternating, or mixed patterns. | Write differences, ratios, or try splitting the series into subsequences. | Always test the first few terms; one pattern will usually emerge. |
| Letter/Word Series | Alphabetical shifts, reverse alphabets, word length, phonetic patterns. | Convert letters to numbers (A=1, B=2). Look for increments/decrements or alternating operations. | Remember the “cyclic” property of alphabets (after Z comes A). |
| Position/Order | Position of letters, numbers, shapes in a sequence. | Map each position to a rule (e.g., “even positions are multiples of 3”). | Sketch a small table – visualizing helps. |
| Pattern Recognition (Shapes) | Symmetry, rotation, reflection, scaling. | Identify the transformation that maps one figure to the next. | Use simple operations (flip, rotate 90°, double). |
| Logical Puzzles (Syllogisms) | Statements with “All A are B”, “No A are B”, “Some A are B”. | Create a truth table or use the “Venn‑diagram” logic. | Remember: “All” → universal quantifier, “No” → negation. |
| Analogies | X : Y :: A : B. | Find the relationship between X and Y, then apply it to A. | Look for categories (profession → tool, size → shape). |
| Lateral‑Thinking Puzzles | Riddles that rely on wordplay or unconventional reasoning. | Read between the lines; question assumptions. | If a puzzle seems impossible, re‑interpret the statement literally. |
3. Worked Example
Puzzle
Series: 2, 5, 10, 17, 26, ___
Find the missing number.
Step‑by‑Step Solution
| Term | Value | Difference from Previous | Observation |
|---|---|---|---|
| 1st | 2 | – | – |
| 2nd | 5 | 3 | +3 |
| 3rd | 10 | 5 | +5 |
| 4th | 17 | 7 | +7 |
| 5th | 26 | 9 | +9 |
| 6th | ? | 11 | +11 |
- Pattern: The differences are increasing by 2 each time (3, 5, 7, 9, …).
- Next difference: 11.
- Missing term: 26 + 11 = 37.
Quick Check
- Verify by backward: 37 – 11 = 26, 26 – 9 = 17. ✔️
Answer: 37
4. Quick Revision Summary
| Area | What to Remember |
|---|---|
| Identify the Rule | Look for arithmetic/ geometric progressions, alternating patterns, or hidden transformations. |
| Use Tables/Diagrams | Visual aids speed up pattern spotting, especially for position or logical puzzles. |
| Test Multiple Patterns | If a single rule doesn’t fit, try a second one (e.g., switch from arithmetic to geometric). |
| Check Consistency | Double‑check the rule with all given terms; a single outlier may indicate a mis‑chosen rule. |
| Time Management | Allocate ~1–2 minutes per puzzle; if stuck, skip and return later. |
| Practice | Solve at least 10 puzzles of each type daily; review solutions to catch common mistakes. |
Final Tip:
When in doubt, look for the simplest possible rule first. Complex patterns are rare in competitive exams; if a simple arithmetic or positional rule works, it’s usually the intended answer. Happy puzzling!