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NDA Line Graphs

Study Material — 1 PYQs (2018–2018) · Concept Notes · Shortcuts

NDA Line Graphs is a frequently tested subtopic — 1 previous year questions from 2018–2018 papers are included below with concept notes, key rules and shortcut tricks.

1 PYQs
2018–2018
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10 Key Points
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Previous Year Questions

NDA Line Graphs — Past Exam Questions

1 questions from actual NDA papers · all shown free · click option to reveal solution

Exam Q 12018Previous Year Pattern

What is the ratio of total sales of Company A to total sales of Company B over all 6 years (2018–2023)?

Concept Notes

Line Graphs— Rules & Concept

Core ConceptRead this first — the foundation of the topic

Line graphs are one of the most frequently tested data interpretation questions in SSC CGL. They show how data changes over time using connected points on a coordinate plane. The x-axis typically shows time periods (years, months, days) while the y-axis shows values (sales, population, temperature, etc.). Key Rules for Line Graphs:

1. Each point represents a specific value at a specific time 2. The line connecting points shows the trend between periods

3. Steep upward slope = rapid increase 4. Steep downward slope = rapid decrease

5. Horizontal line = no change 6. Multiple lines can represent different categories for comparison

Formula BlockMemorise — at least one formula appears in every paper
• Percentage Change = [(New Value - Old Value) / Old Value] × 100
• Average = Sum of all values / Number of values
• Rate of Change = (Change in Value) / (Change in Time)
• Ratio = Value A : Value B
Exam PatternsWhat examiners ask — read before attempting PYQs

SSC CGL typically asks 5 questions per line graph. Common question types include: percentage increase/decrease between years, finding averages, comparing values, calculating ratios, and identifying maximum/minimum values. Questions often test your ability to read coordinates accurately and perform quick calculations.

ShortcutsUse these to save 30–60 seconds per question

#1 - Quick Percentage Change: For small percentages, use this mental math trick: 10% = 1/10, 20% = 1/5, 25% = 1/4, 33.33% = 1/3, 50% = 1/2. This helps you estimate answers quickly without lengthy calculations.

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

Identify values - 2020 = 50 lakhs, 2021 = 30 lakhs

2
Step 2

Apply formula - [(30-50)/50] × 100

3
Step 3

Calculate - [-20/50] × 100 = -40%

4
Step 4

Answer - 40% decrease Worked Example 2: From the same graph, find the average sales over three years.

1
Step 1

Add all values - 40 + 50 + 30 = 120 lakhs

2
Step 2

Divide by number of years - 120 ÷ 3 = 40 lakhs

3
Step 3

Answer - Average sales = 40 lakhs Shortcut Trick #2 - Reading Values Quickly: Always check the scale first. If y-axis shows 'in thousands' or 'in lakhs', multiply accordingly. Mark the grid lines mentally to avoid misreading coordinates. Shortcut Trick #3 - Estimation for Speed: For percentage calculations, round numbers to nearest 10 or 5 for quick estimation. Then fine-tune if needed. This saves precious exam time. The #1 Most Common Trap: Students often misread the scale or units on axes. A graph showing 'Sales in thousands' means 5 on the graph = 5,000 actual sales. Always check what the axes represent before solving. This single mistake causes more wrong answers than calculation errors. Another trap is confusing percentage increase with percentage of total - read questions carefully to understand what exactly is being asked.

Key Points to Remember

  • Line graphs show data changes over time using connected points on coordinate axes
  • Percentage change formula: [(New - Old)/Old] × 100
  • Steep upward slope indicates rapid increase, steep downward slope shows rapid decrease
  • Quick estimation: 10% = 1/10, 20% = 1/5, 25% = 1/4, 50% = 1/2
  • Always check the scale and units on both x-axis and y-axis first
  • Average formula: Sum of all values divided by number of observations
  • SSC CGL typically asks 5 questions per line graph covering trends and calculations
  • Rate of change = Change in value divided by change in time period
  • Multiple lines represent different categories for comparison purposes
  • Round numbers for quick estimation, then fine-tune calculations if needed

Exam-Specific Tips

  • SSC CGL typically includes 5 questions based on each line graph in the DI section
  • Line graphs most commonly test percentage increase/decrease calculations between consecutive years
  • The y-axis scale multiplier (thousands, lakhs, crores) appears in 90% of line graph questions
  • Maximum and minimum value identification questions appear in every line graph set
  • Ratio and proportion questions from line graphs carry 2 marks each in SSC CGL Tier-2
  • Average calculation questions appear in 80% of line graph sets in government exams
  • Time period comparison questions (which year showed highest growth) are standard in SSC pattern
  • Multiple line graphs comparing 2-3 categories are preferred in recent SSC CGL papers
Practice MCQs

Line Graphs — Practice Questions

102graded MCQs · easy to hard · full solution & trap analysis · showing 20 of 102

All MCQs →
Practice 1easy

What is the total sales for the first three months (January to March)?

Practice 2easy

What is the total sales for the first three months (January to March)?

Practice 3easy

What is the average monthly sales for the entire 6-month period?

Practice 4easy

What is the ratio of sales in May to sales in February?

Practice 5easy

In which month did sales increase by 30 lakhs compared to the previous month?

Practice 6easy

By what percentage did sales increase from January to April?

Practice 7easy

What is the average monthly sales for the entire 6-month period?

Practice 8easy

What is the ratio of sales in May to sales in March?

Practice 9easy

By what percentage did sales increase from January to February?

Practice 10easy

What is the total sales for the first three months (January to March)?

Practice 11easy

By what percentage did sales increase from January to April?

Practice 12easy

What is the ratio of sales in May to sales in February?

Practice 13easy

By what percentage did sales increase from January to April?

Practice 14easy

What is the total sales for the first three months (January to March)?

Practice 15easy

What is the percentage increase in sales from April to June?

Practice 16easy

What is the ratio of sales in June to sales in February?

Practice 17easy

By what percentage did sales increase from January to April?

Practice 18easy

What is the total sales for the first three months (January to March)?

Practice 19easy

What is the total sales for the first three months (January to March)?

Practice 20easy

What is the total sales of Company D over all five years (2018–2022)?

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60-Second Revision — Line Graphs

  • Remember: Check axis labels and scale multipliers before solving any question
  • Formula: Percentage change = [(New-Old)/Old] × 100 for increase/decrease questions
  • Trap: Don't confuse 'in thousands' scale - 5 on graph means 5000 in reality
  • Speed tip: Use 10%=1/10, 25%=1/4, 50%=1/2 for quick mental calculations
  • Pattern: SSC asks maximum/minimum values, averages, and year-to-year comparisons
  • Accuracy: Read coordinates carefully by marking grid lines mentally
  • Strategy: Attempt easier questions first - direct reading questions before complex calculations
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