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AFCAT Pie Charts

Study Material — 8 PYQs (2021–2021) · Concept Notes · Shortcuts

AFCAT Pie Charts is a frequently tested subtopic — 8 previous year questions from 2021–2021 papers are included below with concept notes, key rules and shortcut tricks.

8 PYQs
2021–2021
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Previous Year Questions

AFCAT Pie Charts — Past Exam Questions

8 questions from actual AFCAT papers · all shown free · click option to reveal solution

📊Data / Passage
Directions

Study the following pie chart data representing the distribution of annual production (in thousand units) across six manufacturing divisions of TechCorp Industries for the year 2023.

DivisionPercentage of Total ProductionProduction (in thousand units)
Electronics28%840
Automotive22%660
Textiles18%540
Chemicals16%480
Pharmaceuticals10%300
Packaging6%180
TOTAL100%3000

Note: The total annual production of TechCorp Industries is 3000 thousand units. In 2024, the company plans to increase total production by 20%, with Electronics division increasing by 25%, Automotive by 15%, and all other divisions maintaining their 2023 production levels.

Exam Q 12021Previous Year Pattern

What is the ratio of production in Electronics division to the combined production of Chemicals and Packaging divisions in 2023?

📊Data / Passage
Directions

Study the following table showing the distribution of annual revenue across different product categories for TechCorp Industries in the financial year 2023-24. The total annual revenue is ₹5,000 crores.

Product CategoryPercentage of Total Revenue
Software Solutions28%
Hardware & Devices22%
Cloud Services18%
Consulting & Support16%
Licensing & Subscriptions12%
Others4%
Total100%

Additional Information: - Software Solutions revenue increased by 15% from the previous year - Hardware & Devices revenue decreased by 10% from the previous year - Cloud Services revenue increased by 25% from the previous year

Exam Q 22021Previous Year Pattern

If Cloud Services revenue increased by 25% from the previous year, what was the revenue from Cloud Services in the previous year (in ₹ crores)?

Exam Q 32021Previous Year Pattern

What percentage of the total 2023 production is contributed by divisions producing less than 500 thousand units each?

Exam Q 42021Previous Year Pattern

What is the ratio of revenue from Software Solutions to the combined revenue from Others and Licensing & Subscriptions?

Exam Q 52021Previous Year Pattern

In 2024, considering the planned increases for Electronics (25%) and Automotive (15%) divisions while all others maintain 2023 levels, what will be the total production of TechCorp Industries?

Exam Q 62021Previous Year Pattern

What is the difference (in ₹ crores) between the revenue generated from Software Solutions and Hardware & Devices?

Exam Q 72021Previous Year Pattern

What is the difference between the production of Automotive and Pharmaceuticals divisions in 2023?

Exam Q 82021Previous Year Pattern

What is the combined revenue (in ₹ crores) from Consulting & Support and Licensing & Subscriptions categories?

Concept Notes

Pie Charts— Rules & Concept

1.Core Concept

Read this first — the foundation of the topic

CORE CONCEPT — WHAT IS A PIE CHART? A pie chart is a circle divided into slices. Each slice shows the share of one category out of the total. The full circle = 360 degrees = 100%. In SSC CGL, pie charts come with data in degrees OR percentages. Your job is to find values, differences, ratios, and percentages from the chart.

2.Key Rules

Core rules you must know cold
1

The total of all slices = 360 degrees (always).

2

The total of all percentages = 100% (always).

3

Each degree = 1/360 of the total value.

4

Each percent = 1/100 of the total value.

5

If a slice is given in degrees, convert to percentage: Percentage = (Degree / 360) x 100.

6

If a slice is given in percentage, convert to degrees: Degree = (Percentage / 100) x 360.

3.Formula Block

Memorise — at least one formula appears in every paper
Value of a category = (Percentage / 100) x Total
Value of a category = (Degree / 360) x Total
Percentage of a category = (Degree / 360) x 100
Degree of a category = (Percentage / 100) x 360
Ratio of two categories = Ratio of their degrees OR percentages (they are directly proportional)

4.Exam Patterns

What examiners ask — read before attempting PYQs
Common question types are

- Find the value of one category (given total). - Find the difference between two categories. - Find the ratio of two categories. - Find what percentage one category is of another category. - Compare two pie charts (e.g., production vs export). - Find the percentage increase or decrease from one chart to another. SHORTCUTS AND TRICKS Trick 1 — Direct Ratio Shortcut: Never convert degrees to values just to find a ratio. The ratio of two categories equals the ratio of their degrees or percentages directly

Example

If category A = 72 degrees and category B = 108 degrees, ratio = 72:108 = 2:3. No need for total

Trick 2 — Percentage of Percentage Formula

If a question asks what percentage is Category A of Category B: Answer = (Percentage of A / Percentage of B) x 100 Example: A = 25%, B = 40%. Answer = (25/40) x 100 = 62.5% Trick 3 — Two Pie Chart Comparison: When two pie charts show data for two years with different totals, DO NOT compare percentages directly. Always calculate actual values first using (Percentage / 100) x Total.

5.Worked Example

Solve this step-by-step before moving on
1
Step 1

Combined percentage = 30 + 25 = 55%

2
Step 2

Amount = (55 / 100) x 50,000 = Rs 27,500 Answer: Rs 27,500 Question: What is the ratio of Education to Others?

1
Step 1

Education = 20%, Others = 10%

2
Step 2

Ratio = 20:10 = 2:1 (Use Trick 1 — no calculation needed) Answer: 2:1 WORKED EXAMPLE 2 A pie chart shows production of a factory in degrees. Total production = 7200 units. Product A = 90 degrees, Product B = 120 degrees, Product C = 150 degrees. Question: How many units of Product B were produced?

1
Step 1

Value = (Degree / 360) x Total

2
Step 2

Value = (120 / 360) x 7200 = (1/3) x 7200 = 2400 units Answer: 2400 units Question: What percentage of total production is Product A?

1
Step 1

Percentage = (90 / 360) x 100 = 25% Answer: 25%

6.Exam Traps

Common mistakes students make — avoid these

— THE NUMBER 1 TRAP Students compare percentages across two different pie charts when the totals are different. This is WRONG. Example: In Year 1, Exports = 40% of total production 10,000 = 4,000 units. In Year 2, Exports = 35% of total production 15,000 = 5,250 units.

Even though the percentage went DOWN, the actual value went UP. Always calculate actual values when totals differ. This trap appears in almost every SSC CGL paper.

Key Points to Remember

  • A pie chart is a circle where all slices together equal 360 degrees or 100%.
  • Formula: Value of a category = (Percentage / 100) x Total.
  • Formula: Value of a category = (Degree / 360) x Total.
  • Formula: Convert degree to percentage = (Degree / 360) x 100.
  • Shortcut: Ratio of two categories = ratio of their degrees or percentages directly — no need to find actual values.
  • Shortcut: Percentage of A with respect to B = (% of A / % of B) x 100.
  • Never compare percentages across two pie charts if their totals are different — always find actual values first.
  • If total degrees of all slices do not add up to 360, recheck — it is always 360 degrees.
  • In SSC CGL, pie chart questions usually appear in sets of 4 to 5 questions based on one or two charts.
  • Shortcut: When degree is a multiple of 9, its percentage is a multiple of 2.5 — use this to cross-check answers fast.

Exam-Specific Tips

  • A full pie chart always represents 360 degrees and 100% — these two values are fixed and non-negotiable.
  • 1 degree in a pie chart = (1/360) x Total value of the data.
  • 1% in a pie chart = (1/100) x Total value of the data.
  • To convert percentage to degrees: multiply the percentage by 3.6 (since 360/100 = 3.6).
  • To convert degrees to percentage: divide the degree value by 3.6.
  • SSC CGL Tier 1 typically has 1 set of Data Interpretation carrying 4 to 5 marks, and pie charts are one of the most frequently tested DI types.
  • If two categories together form 180 degrees, they represent exactly 50% of the total — a direct half of the pie.
  • The ratio of any two slices in a pie chart is the same whether measured in degrees or percentages — both give identical ratios.
Practice MCQs

Pie Charts — Practice Questions

91graded MCQs · easy to hard · full solution & trap analysis · showing 20 of 91

All MCQs →
📊Data / Passage
Directions

Study the following pie chart data showing the distribution of sales across different product categories in a retail company for the year 2023. The total annual sales were ₹5,000 lakhs.

Product CategoryPercentage of Total Sales
Electronics28%
Clothing22%
Home & Kitchen18%
Sports & Outdoors16%
Books & Media10%
Toys & Games6%
Total100%

Use this data to answer the following questions.

Practice 1easy

What is the ratio of sales of Books & Media to Toys & Games?

📊Data / Passage
Directions

Study the following pie chart data showing the distribution of smartphone sales across different brands in a retail store during Q4 2023. The total sales value was ₹50,00,000 (50 lakh rupees).

BrandPercentage of Total Sales
Apple25%
Samsung30%
OnePlus20%
Xiaomi15%
Others10%
Total100%
Practice 2easy

What is the combined sales value of OnePlus and Others brands?

📊Data / Passage
Directions

Study the following pie chart data showing the distribution of monthly sales across five product categories at TechMart Electronics for the month of March 2024.

Product CategoryPercentage of Total Sales
Smartphones28%
Laptops22%
Tablets18%
Accessories20%
Smart Home Devices12%
TOTAL100%

The total sales for March 2024 was ₹50,00,000 (50 lakh rupees).

Practice 3easy

If sales of Accessories increase by ₹1,00,000 in April, what will be the new percentage of Accessories sales (assuming total sales remain ₹50,00,000)?

📊Data / Passage
Directions

Study the following pie chart data showing the distribution of sales across different product categories for TechCorp Ltd. in Q4 2023. The total sales for the quarter was ₹5,000 lakhs.

Product CategoryPercentage of Total Sales
Smartphones28%
Laptops22%
Tablets18%
Accessories16%
Software16%
Total100%
Practice 4easy

What is the combined sales value (in lakhs) for Tablets and Accessories?

Practice 5easy

Apple's sales value is what percentage more than Xiaomi's sales value?

Practice 6easy

How much more (in rupees) did Samsung sell compared to Xiaomi?

Practice 7easy

By what amount do Smartphones sales exceed Smart Home Devices sales?

Practice 8easy

What is the ratio of Software sales to Accessories sales?

📊Data / Passage
Directions

Study the following pie chart data showing the distribution of sales across five product categories in a retail company for the year 2023. The total annual sales were ₹5,000 lakhs.

Product CategoryPercentage of Total Sales
Electronics28%
Clothing22%
Home & Garden18%
Sports & Outdoors16%
Books & Media16%
Total100%
Practice 9easy

What is the sales value (in lakhs) of the Electronics category?

Practice 10easy

What is the ratio of Sports & Outdoors sales to Books & Media sales?

Practice 11easy

What percentage of total sales do Home & Garden and Sports & Outdoors categories together represent?

📊Data / Passage
Directions

Study the following pie chart data showing the distribution of sales across five product categories in a retail company for the year 2023. The total annual sales were ₹5,000 lakhs.

Product CategoryPercentage of Total Sales
Electronics28%
Clothing22%
Home & Garden18%
Sports & Outdoors17%
Books & Media15%
Total100%

Use this data to answer the following questions.

Practice 12easy

What is the sales value (in lakhs) of the Electronics category?

Practice 13easy

What is the ratio of Home & Garden sales to Books & Media sales?

Practice 14easy

If the company's total sales increase to ₹6,000 lakhs next year with the same percentage distribution, what will be the sales value (in lakhs) of the Clothing category?

Practice 15easy

What is the sales value (in lakhs) for the Smartphones category?

Practice 16easy

By what amount (in lakhs) do Smartphones sales exceed Laptops sales?

Practice 17easy

By what amount (in lakhs) do Electronics sales exceed Home & Garden sales?

Practice 18easy

If the total sales increase to ₹6,000 lakhs in Q1 2024 with the same percentage distribution, what will be the sales value (in lakhs) for Laptops?

📊Data / Passage
Directions

Study the following pie chart data showing the distribution of sales across five product categories in a retail company for the year 2023. The total annual sales were ₹5,000 lakhs.

Product CategoryPercentage of Total Sales
Electronics28%
Clothing22%
Home & Kitchen18%
Sports & Outdoors16%
Books & Stationery16%
Total100%
Practice 19easy

What is the sales value (in lakhs) of the Electronics category?

Practice 20easy

What is the ratio of Apple sales to OnePlus sales?

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60-Second Revision — Pie Charts

  • Formula: Value = (% / 100) x Total OR Value = (Degree / 360) x Total — memorise both forms.
  • Shortcut: To find ratio of two categories, just use ratio of their percentages or degrees directly — skip calculating actual values.
  • Shortcut: % of A relative to B = (% A / % B) x 100 — use when question asks one category as percentage of another.
  • Trap: NEVER compare percentages from two pie charts with different totals — always compute actual values before comparing.
  • Remember: 360 degrees = 100% always — if a slice is 90 degrees, it is always 25% regardless of total.
  • Convert tip: Multiply percentage by 3.6 to get degrees. Divide degrees by 3.6 to get percentage.
  • In exam: Read the total value carefully — it is given in the question or chart heading. Missing it is the most common error.
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