📚 HTET – Reasoning Ability
Topic: Puzzles
Goal: Master the logic and pattern‑recognition skills needed to solve puzzles quickly and accurately.
1. Simple Explanation
A puzzle in Reasoning Ability is a problem that requires you to deduce missing information, identify patterns, or arrange items according to a set of constraints.
Typical puzzle types:
| Type | What You Do | Common Skill Tested |
|---|---|---|
| Sequence puzzles | Find the next number (or letter) in a series. | Arithmetic/Geometric progressions, alternating patterns. |
| Pattern puzzles | Identify the rule that transforms one shape/figure into another. | Visual perception, spatial reasoning. |
| Seating/arrangement puzzles | Determine the order or placement of people/items. | Logical deduction, working memory. |
| Word/number substitution puzzles | Replace letters/numbers with other symbols to satisfy conditions. | Symbolic logic, elimination. |
| Cross‑number or cross‑word puzzles | Fill blanks so that all conditions are met. | Interconnected reasoning. |
2. Key Points to Remember
| # | Point | Why It Matters |
|---|---|---|
| 1 | Read the question carefully | Mis‑reading can lead to wrong assumptions. |
| 2 | Identify the constraints | Write them down; they are the “rules” you must satisfy. |
| 3 | Look for patterns first | Sequence puzzles often have a simple pattern you can spot early. |
| 4 | Eliminate impossible options | Narrowing down reduces complexity. |
| 5 | Use process of elimination | In seating puzzles, test one hypothesis and see if it leads to a contradiction. |
| 6 | Work backwards when stuck | Sometimes starting from the end of the puzzle helps. |
| 7 | Keep track of time | Most puzzles are timed; practice speed. |
| 8 | Check for hidden clues | Extra hints may be embedded in the wording (e.g., “odd man out”). |
| 9 | Practice with varied puzzle types | Builds flexibility in applying logic. |
| 10 | Stay calm and systematic | Panic can cause oversight. |
3. Worked Example
Puzzle
Question:
The following series of numbers is given:
2, 6, 10, 18, 22, ?
Find the missing number.
Step‑by‑Step Solution
| Step | What to Do | Explanation |
|---|---|---|
| 1 | Write the series | 2, 6, 10, 18, 22, ? |
| 2 | Look at differences | 6‑2 = 4, 10‑6 = 4, 18‑10 = 8, 22‑18 = 4 |
| 3 | Notice pattern of differences | 4, 4, 8, 4 – the 8 appears after two 4’s, then repeats 4. |
| 4 | Guess rule | After every two “+4” increments, there is a “+8” increment. |
| 5 | Apply rule to next step | Last difference was 4 → next should be 8. |
| 6 | Compute missing number | 22 + 8 = 30 |
Answer: 30
Tip: Always test your rule against all given numbers before finalising the answer.
4. Quick Revision Summary
| Topic | Quick Tips |
|---|---|
| Sequence Puzzles | Check arithmetic/ratio; look for alternating patterns; use differences. |
| Pattern Puzzles | Compare shapes side‑by‑side; think rotations/reflections; note size changes. |
| Seating/Arrangement | Write all clues as individual statements; try each arrangement step by step. |
| Word/Number Substitution | Treat each symbol as a variable; set up equations if possible. |
| General | 1) Read thoroughly; 2) List constraints; 3) Spot patterns; 4) Eliminate; 5) Verify. |
Quick Practice Question
Series:
5, 9, 17, 33, ?
Answer?
Hint: Look at the difference between terms.
Final Note
Mastering puzzles hinges on pattern recognition and logical deduction. Practice a mix of problem types, keep a notebook of common patterns, and always review your solutions to learn from errors. Happy puzzling!