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SSC MTS Pie Charts

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This page covers SSC MTS Pie Charts with complete concept notes, 19 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Pie Charts— Rules & Concept

Core ConceptRead this first — the foundation of the topic

Pie charts are circular diagrams that show how a whole is divided into parts. Think of a pizza cut into slices - each slice represents a portion of the total. In SSC CGL, pie charts appear in 80% of papers, usually with 2-3 questions worth 6-9 marks.

Key RulesCore rules you must know cold

The complete circle equals 360 degrees. Each part is shown as a sector (slice). The angle of each sector is proportional to the data it represents. All sectors together must equal 360 degrees or 100%.

Formula BlockMemorise — at least one formula appears in every paper

Block:

• Central Angle = (Value/Total Value) × 360°
• Percentage = (Value/Total Value) × 100
• Value = (Central Angle/360°) × Total Value
• Ratio Formula: If angle is θ°, then ratio = θ/360
Exam PatternsWhat examiners ask — read before attempting PYQs

SSC asks three main question types. First, direct calculations from given percentages or angles. Second, comparison questions asking 'how much more' or 'what is the ratio'. Third, application problems combining pie charts with other topics like profit-loss or averages. Powerful Shortcut #1 - The 36° Rule: Since 360° = 100%, then 36° = 10%.

This means 18° = 5%, 72° = 20%, 108° = 30%. Memorize these common angle-percentage pairs to solve questions in 10 seconds. Shortcut #2 - Direct Proportion Method: Instead of calculating percentages, use direct ratios. If sector A has 60° and sector B has 120°, then B is exactly double A. No complex calculations needed.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Marketing angle = 72°

2
Step 2

Using formula: Value = (72°/360°) × 50,000

3
Step 3

= (1/5) × 50,000 = ₹10,000 Alternate Quick Method: 72° = 20% (using 36° rule), so 20% of 50,000 = ₹10,000 Worked Example 2: In a pie chart showing student preferences, Cricket gets 126°, Football gets 90°, Hockey gets 54°. What percentage more students prefer Cricket over Hockey?

1
Step 1

Cricket = 126°, Hockey = 54°

2
Step 2

Difference = 126° - 54° = 72°

3
Step 3

72° = 20% (using shortcut)

4
Step 4

Hockey percentage = 54°/360° = 15%

5
Step 5

Cricket percentage = 126°/360° = 35%

6
Step 6

Cricket is 35% - 15% = 20% more than Hockey Shortcut #3 - The Remainder Trick: When some sectors are given and you need to find the remaining sector, don't calculate each percentage. Simply subtract given angles from 360°. If three sectors are 80°, 120°, and 70°, the fourth sector is 360° - 270° = 90°. Most Common Trap - The Percentage vs Angle Confusion: Students often mix up

When to UseQuickly decide which method to apply in the exam

percentages and when to use angles. Remember: if the question gives percentages, convert to angles by multiplying by 3.6.

If it gives angles, convert to percentages by dividing by 3.6. This single mistake costs students 2-3 marks per paper. Another Critical Error: Students forget that pie charts represent parts of a whole.

You cannot add values from two different pie charts directly unless they have the same total value. Always check if the total values are same before making comparisons. Pro Tip for Complex Questions: When pie charts combine with other topics, first extract the basic values from the pie chart, then apply the second concept.

Don't try to solve everything in one step.

Key Points to Remember

  • Complete pie chart always equals 360° or 100%
  • Formula: Central Angle = (Value/Total) × 360°
  • Quick conversion: 36° = 10%, so 72° = 20%, 108° = 30%
  • Shortcut: Use direct ratios instead of calculating percentages
  • Remainder formula: Missing sector = 360° - sum of given sectors
  • Each sector angle is proportional to the data value it represents
  • Percentage to angle: multiply by 3.6, angle to percentage: divide by 3.6
  • Never directly compare values from different pie charts with different totals
  • For 'how much more' questions, find the difference in percentages or angles
  • Most questions test either direct calculation or comparison between sectors

Exam-Specific Tips

  • A complete circle has exactly 360 degrees
  • 1% of pie chart equals 3.6 degrees
  • Common sector angles: 90° = 25%, 120° = 33.33%, 180° = 50%
  • If a sector shows 15% data, its central angle is 54°
  • Two sectors with angles 40° and 80° are in ratio 1:2
  • Maximum possible sectors in a readable pie chart is typically 8-10
  • Semi-circle in pie chart represents exactly 50% of total data
  • Quarter circle (90°) represents exactly 25% of total data
Practice MCQs

Pie Charts — Practice Questions

19graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

What percentage of total students are enrolled in either Engineering or Commerce streams?

Practice 2easy

How many students are enrolled in the Engineering stream?

Practice 3easy

What is the ratio of students in Commerce to students in Arts?

Practice 4easy

How many more students are in Science stream compared to Law stream?

Practice 5easy

What is the combined percentage of students in Engineering and Commerce streams?

Practice 6easy

If 50 more students join the Law stream, what will be the new number of Law students?

Practice 7medium

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

Practice 8medium

What is the ratio of sales of Clothing to Home & Kitchen categories?

Practice 9medium

The combined sales of Sports & Outdoors and Books & Stationery categories is what percentage more than Clothing category sales?

Practice 10medium

If the sales of Home & Kitchen category increase by 25% next year while total sales remain ₹5,000 lakhs, what will be the new percentage share of Home & Kitchen?

Practice 11medium

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

Practice 12medium

What is the ratio of sales of Clothing to Home & Kitchen categories?

Practice 13medium

By how much (in lakhs) do the combined sales of Sports & Outdoors and Books & Stationery exceed Home & Kitchen sales?

Practice 14hard

In 2023, what is the ratio of production between Electronics and Pharmaceuticals divisions?

Practice 15hard

What is the combined production of Automotive and Industrial Equipment divisions in 2023, and what percentage of total production does this represent?

Practice 16hard

By what percentage did Smartphone revenue increase from last year to this year?

Practice 17hard

If Laptop revenue increased by 20% from last year to this year, what is the percentage share of Laptops in this year's total revenue?

Practice 18hard

What is the combined revenue from Smartphones and Tablets this year, and by how much does it exceed the combined revenue from Wearables and Accessories?

Practice 19hard

By what percentage did the total production of TechCorp Industries increase from 2022 to 2023?

60-Second Revision — Pie Charts

  • Remember: 360° = 100%, so 36° = 10% for quick calculations
  • Formula: Value = (Angle/360°) × Total Value
  • Trap: Never mix percentages with angles - convert first
  • Shortcut: Use direct ratios instead of complex percentage calculations
  • Quick check: All sector angles must add up to exactly 360°
  • For comparisons: Find difference in angles, then convert to percentage if needed
  • Pro tip: Extract pie chart values first, then apply other mathematical concepts
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