How to Solve: CUET Quant – Data Interpretation (Tables, Bar, Pie, Line Graphs)

How to Solve: CUET Quant – Data Interpretation (Tables, Bar, Pie, Line Graphs)

Introduction

"Imagine you’re given a table of sales data, a pie chart of expenses, and a line graph of stock prices—all in one CUET question. If you don’t know how to read them fast, you’ll lose 5+ marks in under 2 minutes. Today, I’ll show you the exact steps to solve any Data Interpretation question in CUET, no matter the graph type."

What You Need To Know First

Before diving into Data Interpretation (DI), ensure you understand: 1. Basic Percentages – How to calculate % increase/decrease, % of a total. 2. Ratio & Proportion – Simplifying ratios, comparing quantities. 3. Averages – Mean, weighted averages (used in tables/graphs).

If any of these are shaky, review them first—DI builds on them.

Key Vocabulary

Formulas To Know

Step-by-Step Method

Follow these 6 steps for EVERY DI question, no matter the graph type.

1. Read the Question First
2. Underline what’s asked (e.g., "What is the % increase in sales from 2020 to 2023?").

3. Note the units (₹, %, thousands, etc.).

4. Scan the Data Source

5. Tables: Check column/row headers, units, and footnotes.

6. Bar/Pie/Line Graphs: Read the title, axes, and legend. Note the scale (e.g., "Y-axis in lakhs").

7. Extract Relevant Numbers

8. Write down the exact values needed for the question.
9. For tables: Highlight the row/column.

10. For graphs: Draw a light pencil line to the exact point.

11. Apply the Right Formula

12. Match the question to a formula (e.g., % change, average, ratio).

13. Plug in the numbers you extracted.

14. Calculate Carefully

15. Do the math step-by-step. Double-check units (e.g., ₹ vs. ₹ lakhs).

16. For % questions, ensure you’re dividing by the old value, not the new one.

17. Verify the Answer

18. Does it make sense? (e.g., A 200% increase means the value tripled.)
19. Cross-check with the graph/table to avoid misreading.

Worked Example Using the Steps

Question: The table below shows the number of students enrolled in 3 courses over 4 years. What is the percentage increase in Computer Science enrollments from 2020 to 2023?

Solution (Step-by-Step): 1. Read the Question: Find % increase in Computer Science from 2020 to 2023. 2. Scan the Data: Locate the "Computer Science" column and 2020/2023 rows. 3. Extract Numbers:
- 2020 = 120
- 2023 = 240 4. Apply Formula:
- % Increase = (New - Old) / Old × 100
- = (240 - 120) / 120 × 100 5. Calculate:
- = 120 / 120 × 100
- = 1 × 100 = 100% 6. Verify:
- 240 is double 120 → 100% increase is correct.

Answer: 100%

Worked Examples

Example 1 – Basic (Pie Chart)

Question: A pie chart shows the monthly expenses of a family: Rent = 40%, Food = 25%, Transport = 15%, Savings = 10%, Others = 10%. If the total monthly income is ₹50,000, how much is spent on Food?

Solution: 1. Read: Find Food expense in ₹. 2. Scan: Food = 25% of total income. 3. Extract: Total income = ₹50,000. 4. Formula: Percentage of Total = (Part / Whole) × 100
- Here, Part = Food expense, Whole = ₹50,000.
- 25% of ₹50,000 = (25/100) × 50,000 = ₹12,500. 5. Calculate: ₹12,500. 6. Verify: 25% of 50,000 is 1/4th → ₹12,500 makes sense.

Answer: ₹12,500 What we did: Converted a % share to an absolute value using the total.

Example 2 – Medium (Bar Graph + Ratio)

Question: The bar graph below shows the sales (in ₹ lakhs) of two products, A and B, over 3 years. What is the ratio of Product A’s sales in 2021 to Product B’s sales in 2022?

Solution: 1. Read: Find ratio of A (2021) to B (2022). 2. Scan: A (2021) = 40, B (2022) = 60. 3. Extract: 40 and 60. 4. Formula: Ratio = A : B → 40 : 60. 5. Calculate: Simplify to 4 : 6 → 2 : 3. 6. Verify: 40/60 = 2/3 → Correct.

Answer: 2 : 3 What we did: Extracted values from different years and simplified the ratio.

Example 3 – Exam Style (Line Graph + % Change)

Question: The line graph shows the profit (in ₹ crores) of a company from 2018 to 2022. What is the approximate percentage decrease in profit from 2019 to 2020?

(Graph data: 2019 = 80, 2020 = 60)

Solution: 1. Read: Find % decrease from 2019 to 2020. 2. Scan: 2019 = 80, 2020 = 60. 3. Extract: Old = 80, New = 60. 4. Formula: % Decrease = (Old - New) / Old × 100
- = (80 - 60) / 80 × 100 5. Calculate:
- = 20 / 80 × 100 = 0.25 × 100 = 25% 6. Verify: 60 is 75% of 80 → 25% decrease is correct.

Answer: 25% What we did: Applied % change formula to a line graph’s data points.

Common Mistakes

Exam Traps

1-Minute Recap

"Alright, CUET warriors—here’s your last-minute DI cheat sheet: 1. Read the question first. Underline what’s asked. 2. Scan the data: Check titles, axes, legends, and units. 3. Extract numbers: Write them down—don’t rely on memory. 4. Pick the formula: % change, average, ratio—match it to the question. 5. Calculate step-by-step. Double-check units (lakhs vs. crores). 6. Verify: Does the answer make sense? If it’s a 200% increase, the value should triple.

For tables: Highlight rows/columns. For graphs: Draw pencil lines to data points. For pie charts: Convert % to absolute values using the total. And remember—examiners love hiding units in footnotes. Don’t let them trick you!

Now go crush that DI section. You’ve got this!

Final Note for Teachers: - Pacing: Spend 20% of time on theory, 80% on worked examples. - Engagement: Ask students to predict answers before revealing them. - Homework: Assign 3-5 DI questions daily (mix of tables, bar, pie, line graphs).