📚 Study Notes – Caselets in Quantitative Aptitude
(For Puducherry Patwari / Lekhpal exams)
1. What is a Caselet?
A caselet is a small story or situation that gives you numbers and asks a question.
Think of it like a mini‑story that hides a math problem inside.
- Example: “Anna bought 3 pens for ₹30. If she buys 5 more pens, how much will she pay?”
The answer is hidden in the story – you just have to pull out the numbers and do a bit of math.
2. Why Use Caselets?
| Why | Everyday Analogy |
|---|---|
| Real‑world feel | Like solving a puzzle while reading a newspaper article. |
| Test comprehension | It checks if you read the problem correctly, not just if you remember formulas. |
| Time‑saving | Once you see the pattern, you can solve many similar problems quickly. |
3. How to Read a Caselet
- Read once for the story.
- Don’t jump straight to the math.
- Highlight the numbers.
- Write them down or underline them.
- Identify the question.
- What is being asked? (e.g., total cost, average, difference)
- Choose the right operation.
- Addition, subtraction, multiplication, division, or a mix.
4. Common Patterns in Caselets
| Pattern | What you see | Quick Tip |
|---|---|---|
| Total / Sum | “Total of three numbers is 24.” | Add the numbers. |
| Difference / Gap | “The difference between two numbers is 5.” | Subtract the smaller from the larger. |
| Average | “Average of 4 numbers is 10.” | Multiply average by count. |
| Rate / Ratio | “Rate is 3:2.” | Use proportion. |
| Sequence / Series | “Next number in the series.” | Look for pattern (add, subtract, multiply). |
| Percentage | “10% of 200 is how much?” | Multiply 200 by 10/100. |
5. Step‑by‑Step Solving Guide
| Step | What to Do | Example |
|---|---|---|
| 1️⃣ Rewrite | Write the key numbers in your own words. | 3 pens = ₹30 → ₹30 ÷ 3 = ₹10 per pen |
| 2️⃣ Choose operation | Decide what you need (add, multiply, etc.). | Need total for 5 more pens → ₹10 × 5 = ₹50 |
| 3️⃣ Compute | Do the math. | ₹30 (existing) + ₹50 (new) = ₹80 |
| 4️⃣ Check | Does the answer fit the question? | “Total cost for 8 pens?” → Yes, ₹80. |
6. Tiny Example & Solution
Problem
“Ravi has 2 apples costing ₹4 each. He buys 3 more apples at the same price. What is his total spending?”
Solution
| Step | Action | Result |
|---|---|---|
| 1️⃣ Write down numbers | 2 apples, ₹4 each, 3 more apples | |
| 2️⃣ Find price per apple | ₹4 (already given) | |
| 3️⃣ Total apples | 2 + 3 = 5 | |
| 4️⃣ Total cost | 5 × ₹4 = ₹20 | |
| ✅ Answer | ₹20 |
Result: Ravi spends ₹20 in total.
7. Quick Tips for Success
| Tip | Why it Helps |
|---|---|
| Read carefully | Avoid missing a number or a word that changes the meaning. |
| Write numbers down | Keeps everything visible and reduces mental errors. |
| Look for “same price” or “difference” | These clues tell you what operation to use. |
| Check units | If the question asks for “per unit” or “total,” make sure you’re answering the right thing. |
| Time practice | Do 5‑10 caselets a day. Speed improves with practice. |
8. Practice Exercise
“A bookstore sold 12 copies of a book for ₹240. If it sells 8 more copies at the same price, how much will it earn in total?”
Answer: ₹240 + (₹240 ÷ 12 × 8) = ₹240 + ₹160 = ₹400
9. Summary
- Caselets are short, story‑based math questions.
- Read the story → highlight numbers → find the question → choose operation → solve.
- Look for common patterns: total, difference, average, ratio, sequence, percentage.
- Practice regularly, write numbers down, and check your answer.
Good luck, and keep practicing! 🚀