This article presents a high-quality Data Interpretation Model Questions based on tabular data, ideal for aspirants of SSC, Banking, Insurance, and other competitive exams. Try solving the questions first using the data given below. Detailed solutions are provided at the end of the article.
📊 Data Interpretation Model Questions
The table below shows the number of males working in private and public companies, and the number of females (total of private + public) working in four cities – A, B, C, and D.
| Cities | Males in Private Company | Males in Public Company | Females (Private + Public) |
|---|---|---|---|
| A | 15x – 2y | y | 55 |
| B | 16x | 16 | 108 |
| C | 9y | 24 | 74 |
| D | 84 | 21 | 85 |
📌 Note:
(i) Number of male employees in A are 50.
(ii) Total males working in private company from B and C are 154.
(iii) Total employees (male + female) working in any city = private companies + public company.
(iv) Males/females working in any city = Sum of males/females working in private and public company.
❓ Questions:
Q1. In city A, 40% of the females work in private companies. What is the ratio of females working in public companies from A to total males working in city D?
(a) 11:35
(b) 35:11
(c) 13:11
(d) 11:13
(e) None of these
Q2. The ratio of males working in public company from C and females working in private company from city B is 4:5. The females working in public company from B is what percentage of males in public company in city A?
(a) 780%
(b) 80%
(c) 180%
(d) 760%
(e) 708%
Q3. The average number of male employees in C and F is 200. 80% of the total employees (private and public) from city F are females. The total employees in F is what percentage more/less than 100y?
(a) 360
(b) 400
(c) 410
(d) 430
(e) 420
Q4. 50% of the total females are working in private companies from all the cities. Find the total employees (males + females) working in public companies from all the cities.
(a) 297
(b) 250
(c) 255
(d) 232
(e) 231
Q5. In which of the following cities, males working in private company is less than the average number of males working in private company?
(a) City C
(b) City B
(c) City A
(d) City A and City B
(e) City B and City C
Q6. Males working in city C is approximately what percentage of females working from B?
(a) 80%
(b) 190%
(c) 180%
(d) 106%
(e) 70%
✅ Detailed Answers and Explanations:
Step 1: Solve the Equations
From Note (i):
From city A:15x – 2y + y = 50 → 15x – y = 50 → (Equation 1)
From Note (ii):16x + 9y = 154 → (Equation 2)
Solving:
From Eq1: y = 15x – 50
Substitute into Eq2:16x + 9(15x – 50) = 154
→ 16x + 135x – 450 = 154
→ 151x = 604 → x = 4, hence y = 15(4) – 50 = 10
Updated Table (using x = 4, y = 10):
| Cities | Males Private | Males Public | Total Males | Females |
|---|---|---|---|---|
| A | 15x–2y = 40 | 10 | 50 | 55 |
| B | 16x = 64 | 16 | 80 | 108 |
| C | 9y = 90 | 24 | 114 | 74 |
| D | 84 | 21 | 105 | 85 |
🔍 Q1 Answer:
- Private females in A = 40% of 55 = 22
- Public females in A = 55 – 22 = 33
- Total males in D = 84 + 21 = 105
- Ratio = 33:105 = 11:35
✅ Correct Answer: (a) 11:35
🔍 Q2 Answer:
- Males in Public (C) = 24
- Ratio = 4:5 → Females Private B = (5/4) × 24 = 30
- Females Public in B = 108 – 30 = 78
- Males Public in A = 10
- % = (78/10) × 100 = 780%
✅ Correct Answer: (a) 780%
🔍 Q3 Answer:
- Average males in C and F = 200 → Males in F = 2×200 – 114 = 286
- Males = 20% of total → Total employees in F = 286 ÷ 0.2 = 1430
- 100y = 1000 → Difference = 430 → 43% more
✅ Correct Answer: (d) 430
🔍 Q4 Answer:
- Total females = 55 + 108 + 74 + 85 = 322
- Private females = 50% of 322 = 161 → Public females = 161
- Males in Public = 10 + 16 + 24 + 21 = 71
- Total employees in Public = 71 + 161 = 232
✅ Correct Answer: (d) 232
🔍 Q5 Answer:
- Total Private Males = 40 + 64 + 90 + 84 = 278 → Average = 278 ÷ 4 = 69.5
- Cities below average: City A (40), City B (64)
✅ Correct Answer: (d) City A and City B
🔍 Q6 Answer:
- Males in C = 114
- Females in B = 108
- % = (114 ÷ 108) × 100 = 105.5% ≈ 106%
✅ Correct Answer: (d) 106%
✅ Tips for Solving Data Interpretation Questions
- Read the Data Carefully
- Don’t rush. Understand the table/chart or given information thoroughly before jumping to questions.
- Pay attention to totals, subcategories (like males/females or public/private), and any hidden clues in the note section.
- Break Down the Information
- Organize the data city-wise, gender-wise, or company-wise in a clean table.
- Convert all algebraic expressions (like 15x – 2y) into numerical values using given conditions.
- Use the Given Notes Wisely
- Notes often contain key conditions or equations (e.g., Total males = 1200, City A = 50 males) that help you find unknown variables.
- Solve these equations first — they are the base for solving all other questions quickly.
- Label Everything Neatly
- Create a side table or rough worksheet for calculated values. This saves time in referencing again and again.
- Don’t Ignore Units and Percentages
- Be precise with calculations involving percentages — double-check whether it’s percentage of total or a subset.
- Attempt Easy Questions First
- Pick the direct questions first (like averages, totals, or direct ratio) before moving to tricky logic-based ones.
- Avoid Calculation Mistakes
- Recheck your math, especially in percentage, ratio, and average-related questions. Small mistakes can lead to wrong answers.
- Practice Regularly
- The more you practice such puzzles, the quicker you’ll be able to decode patterns and identify shortcuts.
- Time Management is Key
- Set a time limit for solving each set. Ideally, you should complete 5 DI questions within 7–8 minutes in competitive exams.
- Revise Formulas
- Keep basic formulas handy:
- Average = Sum of items / Number of items
- Percentage = (Value / Total) × 100
- Ratio = Value1 : Value2
📌 Final Takeaway:
Such Logical Reasoning Puzzles are commonly asked in:
- IBPS PO / Clerk
- SBI PO / Clerk
- SSC CGL, CHSL
- RRB NTPC, Insurance, and other exams
👉 Practice regularly and enhance your analytical thinking and speed.
👉 Bookmark our blog for more data interpretation puzzles and mock questions.
