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RRB NTPC Line Graphs

Study Material — 33 PYQs (2018–2022) · Concept Notes · Shortcuts

RRB NTPC Line Graphs is a frequently tested subtopic — 33 previous year questions from 2018–2022 papers are included below with concept notes, key rules and shortcut tricks.

33 PYQs
2018–2022
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Previous Year Questions

RRB NTPC Line Graphs — Past Exam Questions

33 questions from actual RRB NTPC papers · all shown free · click option to reveal solution

Exam Q 12022Previous Year Pattern

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

Exam Q 22022Previous Year Pattern

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

Exam Q 32022Previous Year Pattern

By what percentage did sales increase from January to April?

Exam Q 42022Previous Year Pattern

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

Exam Q 52022Previous Year Pattern

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

Exam Q 62022Previous Year Pattern

In which month did sales increase by 60 lakhs compared to the previous month?

Exam Q 72022Previous Year Pattern

By what percentage did sales increase from January to April?

Exam Q 82022Previous Year Pattern

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

Exam Q 92022Previous Year Pattern

What is the ratio of June sales to February sales?

Exam Q 102022Previous Year Pattern

What is the total sales for all quarters in 2022?

Exam Q 112018Previous Year Pattern

In which year was the difference between the sales of Company A and Company B the highest?

Exam Q 122018Previous Year Pattern

What is the average annual sales (in ₹ Lakhs) of Company A over the years 2019, 2020, and 2021?

Exam Q 132018Previous Year Pattern

By what percentage did the sales of Company B increase from 2020 to 2022?

Exam Q 142018Previous Year Pattern

The sales of Alpha Corp in 2023 is what percent more than the sales of Beta Ltd in 2023?

Exam Q 152018Previous Year Pattern

What is the average annual sales of Alpha Corp over the years 2018 to 2023?

Exam Q 162018Previous Year Pattern

By what percentage did the sales of Beta Ltd increase from 2019 to 2022?

Exam Q 172018Previous Year Pattern

What is the ratio of sales of Alpha Corp to Beta Ltd in the year 2021?

Exam Q 182022Previous Year Pattern

By what percentage did sales increase from Q3 2022 to Q3 2023?

Exam Q 192022Previous Year Pattern

By what ratio did Q4 sales increase from 2021 to 2022?

Exam Q 202022Previous Year Pattern

What is the average quarterly sales for the year 2023?

Exam Q 212022Previous Year Pattern

What is the ratio of Q4 2022 sales to Q4 2023 sales?

Exam Q 222022Previous Year Pattern

What is the percentage increase in sales from Q1 2022 to Q4 2022?

Exam Q 232022Previous Year Pattern

What is the average quarterly sales for the year 2022?

Exam Q 242018Previous Year Pattern

The sales of Company A in 2023 is what percentage more than the sales of Company B in 2023?

Exam Q 252018Previous Year Pattern

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

Exam Q 262022Previous Year Pattern

By what ratio did production in Q4 2023 compare to production in Q4 2022?

Exam Q 272022Previous Year Pattern

What is the difference between the total production of 2022 and the total production of 2023?

Exam Q 282022Previous Year Pattern

What is the average production across all quarters in Year 2?

Exam Q 292022Previous Year Pattern

What is the percentage increase in production from Q1 2022 to Q2 2024?

Exam Q 302022Previous Year Pattern

If the production growth rate remains constant (as observed from the data), what would be the expected production in Q3 2024?

Exam Q 312022Previous Year Pattern

In which quarter and year was the production exactly 40% more than the production in Q1 Year 1?

Exam Q 322022Previous Year Pattern

By what ratio did Q4 production increase from Year 1 to Year 2?

Exam Q 332022Previous Year Pattern

What is the average production across all quarters in 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

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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