Quantitative Aptitude – Caselets
(For Ladakh PSC – Quantitative Aptitude Section)
Caselets are short, real‑world scenarios that contain a few closely‑linked questions.
They test not only arithmetic or algebraic skills but, more importantly, logical reasoning and information‑processing.
1. Simple Explanation
- Definition: A caselet is a brief narrative (often 2–4 lines) followed by 2–4 sub‑questions that refer to data or facts mentioned in the narrative.
- Goal: Extract the relevant information, apply the appropriate quantitative technique, and answer all sub‑questions correctly.
- Why they matter:
- Time‑saving: All related data are in one place – no need to search for clues elsewhere.
- Logical flow: Answers to one sub‑question often help in solving the next.
- Exam‑specific skill: Ladakh PSC uses caselets to evaluate quick reasoning under a tight time‑limit.
2. Key Points to Remember
| # | Feature | What to Watch For |
|---|---|---|
| 1 | Read the whole caselet first | Capture the gist and note every number, unit, and relation mentioned. |
| 2 | Underline/Highlight | Mark key quantities (e.g., “5 km”, “2 hrs”, “$200$”) for quick reference. |
| 3 | Identify the type of question | Is it a ratio, percentage, simple arithmetic, algebraic, or a “follow‑up” question? |
| 4 | Solve sub‑questions sequentially | Often Q‑2 uses the answer of Q‑1; wrong order can lead to confusion. |
| 5 | Check units & consistency | Convert all units to a common system before applying formulas. |
| 6 | Keep calculations neat | Write each step; many examiners look for method, not just the final answer. |
| 7 | Time management | Allocate 2–3 minutes per caselet (depending on difficulty). |
| 8 | Answer formatting | If the answer requires a fractional or decimal form, round as directed. |
3. Worked Example
Caselet
A school has 3 classes of 30, 25, and 35 students respectively.
- If 40 % of the students in the first class passed the exam, how many students passed?
- The second class had 5 more students than the first class. How many students are there in the second class?
- What is the total number of students from all three classes?
Step‑by‑Step Solution
| Q | Sub‑question | Calculation | Answer |
|---|---|---|---|
| 1 | 40 % of first class | (0.40 \times 30 = 12) | 12 |
| 2 | Second class = first class + 5 | (30 + 5 = 35) | 35 |
| 3 | Total students | (30 + 25 + 35 = 90) | 90 |
Key Observations
- The answer to Q‑2 is not a trick – the phrase “had 5 more students than the first class” means first class + 5.
- Q‑3 is independent; double‑check that you have added the actual class sizes, not the computed values from earlier sub‑questions.
4. Quick Revision Summary
| Item | What to Recall |
|---|---|
| Definition | Short narrative + 2–4 linked questions. |
| Reading | Skim whole caselet → underline all numbers. |
| Order | Solve sub‑questions sequentially; later ones may depend on earlier answers. |
| Units | Convert to common units before calculations. |
| Type | Identify if the sub‑question is a ratio, percentage, arithmetic, or algebraic problem. |
| Time | Roughly 2–3 minutes per caselet. |
| Common Patterns | - Ratio / proportion - Percentage change - Average / mean - Simple algebraic equations - “Follow‑up” questions using previous answers |
| Tips | 1. Write “→” to show flow between sub‑questions. 2. Use short hand like “×” for multiplication, “÷” for division, “%” for percent. 3. Always double‑check the final answer against the question wording. |
Final Thought
Mastering caselets is all about quick comprehension and logical sequencing. Treat each caselet as a mini‑story: read, underline, solve, and verify. With practice, you’ll be able to tackle them in under a minute without compromising accuracy—exactly what Ladakh PSC expects. Happy studying!