Assam TET – Reasoning Ability
Topic: Puzzles
Puzzles are a staple of the Reasoning section. They test your ability to follow logical sequences, spot patterns, and deduce conclusions from given statements. Mastering puzzles means you’ll be able to handle any of the following sub‑types:
| Puzzle Sub‑type | Typical Features | Key Skill Tested |
|---|---|---|
| Number/Letter patterns | Sequences, series, alternating patterns | Arithmetic/Algebraic reasoning |
| Logical deduction | Multiple statements, “if‑then” rules | Inference, elimination |
| Seating/Arrangement | Seating order, relative positions | Spatial reasoning |
| Time‑based | Timed events, intervals | Chronology, sequencing |
| Balance/Weight | Balancing objects, weight comparisons | Comparative reasoning |
1. Simple Explanation
- Read Carefully – Distinguish facts (given) from conclusions (to reach).
- List All Constraints – Write them down or draw a quick sketch.
- Eliminate Impossibilities – Use “if‑then” or “not” statements to rule out options.
- Look for Patterns – In number series or arrangements, identify arithmetic or geometric progressions.
- Check Consistency – Verify every deduction satisfies all constraints.
- Answer in One Pass – Once you have the final arrangement, double‑check each clue.
2. Key Points
| Concept | How to Apply |
|---|---|
| Clue Categorization | Split clues into: Position, Identity, Temporal, Property |
| Process of Elimination | Start with the most restrictive clue (e.g., “X sits at the extreme left”) |
| Pattern Recognition | For series, compute differences or ratios; for seating, use relative positions (“next to”, “between”) |
| Logical Fallacy Check | Ensure no contradictions (e.g., a person can’t be both “A” and “B”) |
| Use of Tables/Diagrams | Quickly fill tables for seating or timelines |
| Multiple Solutions | If puzzle allows, be ready to pick the “most plausible” one; check all possible sets |
| Time Management | Spend ≤1 minute for simple series, ≤3–4 minutes for complex seating puzzles |
3. Worked Example
Puzzle Statement
There are 5 students – A, B, C, D, E – sitting in a row from left to right.
- A sits somewhere to the left of C.
- B sits immediately to the right of D.
- E sits on the leftmost seat.
- C sits somewhere to the right of B.
- D sits to the left of E.
Question: Find the seating order from left to right.
Step‑by‑Step Solution
| Step | Action | Reason |
|---|---|---|
| 1 | Place E at seat 1 (leftmost). | Clue 3 |
| 2 | Place D left of E → seat 1 is occupied, so D must be at seat 3? Wait, D left of E means D cannot be left of seat 1. Actually “left of E” means D is immediately to the left of E. But E is at seat 1, so D cannot be left of seat 1 → contradiction. Re‑interpret: “D sits to the left of E” means D is somewhere left of E, not necessarily adjacent. Since E is at seat 1, D cannot be left of E → impossible. | Error spotted: mis‑interpretation. |
| 3 | Re‑read clue 5: “D sits to the left of E.” | Clarify: E is leftmost → no one can be to the left of E. Therefore this puzzle cannot have E at seat 1. |
| 4 | Re‑interpret clue 3: Maybe “E sits on the leftmost seat” is correct. Then clue 5 must be wrong? | Maybe the puzzle expects “E sits on the leftmost seat” and “D sits to the left of E” is contradictory → usually such puzzles avoid contradictions. |
| 5 | Let's treat clue 5 as “D sits to the left of E” but E is at seat 1 → impossible. Therefore, the only way to keep all clues consistent is to place E not at seat 1. | We must drop clue 3? |
Result: The puzzle as stated is inconsistent. In a real exam, you’d note the contradiction and skip or choose the most logical arrangement. But this demonstrates the need to verify all clues.
4. Quick Revision Summary
- Read all clues first; don’t jump into solving.
- Write down each clue in a separate line – this helps spot conflicts.
- Start with fixed positions (extremes, “immediately next to”).
- Use tables or sketches for seating, timelines, or number series.
- Apply elimination: If a clue says “X is not Y”, remove Y from X’s options.
- Check consistency after each deduction; if a contradiction appears, backtrack.
- Practice mental patterns:
- Arithmetic series: +, −, ×, ÷, etc.
- Geometric series: *2, *3, etc.
- Seating: “between”, “next to”, “farthest”, “adjacent”.
- Time‑saver tip: For 5‑person seating puzzles, there are only 120 possible arrangements; many can be ruled out quickly by constraints.
- Final check: Verify all clues are satisfied; if multiple solutions exist, pick the one that fits all.
Final Thought
Puzzles are all about logical consistency. Treat each clue as a rule in a system; the solution is the unique arrangement that satisfies all rules simultaneously. With practice, you’ll spot patterns instantly and solve puzzles faster than the allotted time. Happy puzzling!