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AFCAT Line Graphs

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

AFCAT 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.

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2018–2018

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10 Key Points

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Previous Year Questions

AFCAT Line Graphs — Past Exam Questions

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

📊Data / Passage

Directions

Study the following line graph data and answer the questions. The table below shows the annual sales (in ₹ lakhs) of two companies — Company A and Company B — over a period of 6 years from 2018 to 2023.

Year	Company A (₹ Lakhs)	Company B (₹ Lakhs)
2018	120	80
2019	150	100
2020	180	120
2021	240	160
2022	300	200
2023	360	270

Note: All values are in ₹ Lakhs.

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

1.Core Concept

Read this first — the foundation of the topic

LINE GRAPHS — COMPLETE EXAM GUIDE FOR SSC CGL ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

CORE CONCEPT ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

A line graph shows how a value changes over time. Points are plotted on a grid and connected by straight lines. The X-axis (horizontal) usually shows time — years, months, days. The Y-axis (vertical) shows values — sales, profit, temperature, population, etc. Think of it like a 'journey map' of data. If the line goes UP → the value is increasing. If the line goes DOWN → the value is decreasing. If the line is FLAT → the value is constant.

In SSC CGL, line graphs usually show data for 2 to 3 different categories across 5 to 6 years. You are asked to compare, calculate percentage change, find ratios, or identify the maximum and minimum values. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

2.Key Rules

Core rules you must know cold

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 1. Always read the UNIT on the Y-axis first. Values may be in thousands, lakhs, or crores. Missing this costs marks. 2.

When two lines are given, the gap between them shows the DIFFERENCE between the two quantities. 3. The STEEPEST slope = highest rate of change. 4. Crossing point of two lines = both values are EQUAL at that year. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

3.Formula Block

Memorise — at least one formula appears in every paper

Percentage Change = [(New Value - Old Value) / Old Value] x 100

Ratio of two values = Value A / Value B (simplify fully)

Average = Sum of all values / Number of values

Net = A + B + (A x B)/100

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Percentage Increase: Answer is positive.

Percentage Decrease: Answer is negative (report as decrease).

Net Percentage Change over multiple years:

Use successive change formula: If change is A% then B%,

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

4.Exam Patterns

What examiners ask — read before attempting PYQs

— WHAT GETS ASKED ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ SSC CGL almost always asks these 5 question types from line graphs: 1. Percentage increase or decrease from one year to another. 2. Ratio or fraction between two values in the same year. 3. Average of a quantity over all given years. 4.

In which year was the growth/decline the maximum? 5. Difference or sum of two quantities across specific years. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

5.Shortcuts

Use these to save 30–60 seconds per question

TRICK 2 — APPROXIMATE AND ELIMINATE

For % change questions, use approximation. If exact answer is not needed, round to nearest 5 and eliminate options. For example, 48/320 x 100 ≈ 15%. If only one option is near 15%, mark it directly

TRICK 3 — UNIT SCALING TRICK

If Y-axis unit is 'in thousands', multiply your read value by 1000 only when the question asks for absolute difference or sum. For ratio and percentage questions, the units CANCEL OUT. You can directly use the graph values without multiplying. This saves calculation time. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

6.Worked Example

Solve this step-by-step before moving on

1

Step 1

Old Value = 40 (year 2019)

2

Step 2

New Value = 60 (year 2022)

3

Step 3

Change = 60 - 40 = 20

4

Step 4

% Change = (20 / 40) x 100 = 50% Answer: Sales increased by 50% from 2019 to 2022. Note: Units are in lakhs on both sides — they cancel. No conversion needed here. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ WORKED EXAMPLE 2 — AVERAGE AND RATIO ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Line graph shows Production of Company A and Company B (in units): Year: 2018 2019 2020 2021 2022 Company A: 200 300 250 400 350 Company B: 100 150 200 250 300 Question 1: What is the average production of Company A over all 5 years?

1

Step 1

Sum = 200 + 300 + 250 + 400 + 350 = 1500

2

Step 2

Average = 1500 / 5 = 300 units Answer: 300 units. Question 2: In which year is the ratio of A to B the highest? Ratios: 2018 = 200/100 = 2.0, 2019 = 300/150 = 2.0, 2020 = 250/200 = 1.25, 2021 = 400/250 = 1.6, 2022 = 350/300 = 1.17 Highest ratio = 2.0 (in both 2018 and 2019) Answer: 2018 and 2019 (both have the same highest ratio of 2:1). TIP: Do not calculate all ratios as decimals. Compare fractions directly using cross multiplication to save time. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

7.Exam Traps

Common mistakes students make — avoid these

— THE NUMBER 1 TRAP ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ MOST DANGEROUS MISTAKE: Students confuse 'maximum value' with 'maximum increase'. Example: Sales values are 100, 200, 350, 380. The maximum value is 380 (year 4). But the maximum INCREASE is from year 1 to year 2 (increase of 100), not year 3 to year 4 (increase of only 30). Always re-read the question. 'Highest value' and 'highest growth' are two DIFFERENT things.

This trap appears in nearly every SSC CGL DI set.

Key Points to Remember

A line graph plots values (Y-axis) against time or categories (X-axis) connected by straight lines.
Upward slope = increase, Downward slope = decrease, Flat line = no change in value.
Formula: Percentage Change = [(New - Old) / Old] x 100 — memorise this as the base formula.
For Ratio questions, units on Y-axis cancel out — use graph values directly without unit conversion.
Steepest slope on graph = highest rate of change — identify visually before calculating.
Crossing point of two lines on a dual-line graph means both quantities are EQUAL at that point.
Average formula: Sum of all given values divided by the total number of values.
Successive % change formula: Net % = A + B + (AxB)/100 — use for multi-year growth questions.
Trap: 'Maximum value year' and 'Maximum increase year' are always different — read the question carefully.
Unit Scaling Trick: For % change and ratio questions, ignore the Y-axis unit (thousands/lakhs) as it cancels.

Exam-Specific Tips

In SSC CGL Data Interpretation, line graphs appear in almost every Tier-1 paper, typically as a set of 4-5 questions worth 8-10 marks.
The most frequently tested calculation in line graph DI is Percentage Change: formula = [(New - Old) / Old] x 100.
When a line graph shows two lines crossing each other, the values of both quantities are exactly equal at that intersection point — this is a direct MCQ trap.
If Y-axis shows values 'in thousands' and the question asks for a ratio, no multiplication by 1000 is needed because the unit cancels in the ratio.
The successive percentage change formula for two consecutive changes of A% and B% is: Net % = A + B + (AB/100).
In a line graph, the year with the steepest upward slope always has the highest percentage increase — this can be spotted visually without full calculation.
SSC CGL 2023 Tier-1 included a dual-line graph DI set comparing import and export values across 5 years — a standard format repeated across multiple years.

Practice MCQs

Line Graphs — Practice Questions

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

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📊Data / Passage

Directions

Study the following table showing monthly sales data (in lakhs of rupees) for a retail company over 6 months and answer the questions.

Month	January	February	March	April	May	June
Sales	120	150	180	210	240	300

Practice 1easy

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

📊Data / Passage

Directions

Study the following table showing monthly sales data (in lakhs of rupees) for a retail company over 6 months and answer the questions.

Month	January	February	March	April	May	June
Sales	120	150	180	210	240	300

Practice 2easy

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

Practice 3easy

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

📊Data / Passage

Directions

Study the following table showing monthly sales data (in lakhs of rupees) for a retail company over 6 months and answer the questions.

Month	January	February	March	April	May	June
Sales	120	150	180	210	240	300

Practice 4easy

In which month was the sales increase from the previous month the highest?

📊Data / Passage

Directions

Study the following table showing monthly sales data (in lakhs of rupees) for a retail company over 6 months and answer the questions.

Month	January	February	March	April	May	June
Sales	120	150	180	210	240	300

Practice 5easy

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

📊Data / Passage

Directions

Study the following table showing monthly sales data (in lakhs of rupees) for a retail company over 6 months and answer the questions.

Month	January	February	March	April	May	June
Sales	120	150	180	210	240	300

Practice 6easy

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

Practice 7easy

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

Practice 8easy

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

Practice 9easy

By what percentage did sales increase from January to April?

📊Data / Passage

Directions

Study the following table showing monthly sales data (in lakhs of rupees) for a retail company over 6 months and answer the questions.

Month	January	February	March	April	May	June
Sales	120	150	180	210	240	300

Practice 10easy

By what percentage did sales increase from January to April?

Practice 11easy

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

Practice 12easy

By what percentage did sales increase from January to April?

Practice 13easy

By what percentage did sales increase from January to February?

Practice 14easy

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

Practice 15easy

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

📊Data / Passage

Directions

Study the following table showing monthly sales data (in lakhs of rupees) for a retail company over 6 months and answer the questions.

Month	January	February	March	April	May	June
Sales	120	150	180	210	240	300

Practice 16easy

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

Practice 17easy

By what percentage did sales increase from January to April?

Practice 18easy

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

Practice 19easy

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

Practice 20easy

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

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60-Second Revision — Line Graphs

Formula: % Change = [(New - Old) / Old] x 100 — use this for every increase/decrease question in line graphs.
Remember: Always read the Y-axis UNIT first (thousands, lakhs, crores) — wrong unit reading = wrong answer.
Trap: 'Highest value' year and 'Highest growth' year are DIFFERENT — re-read the question every time.
Shortcut: For ratio and % change questions, Y-axis units cancel — skip unit conversion to save time.
Trick: Find max % change VISUALLY using steepest slope, then verify only the top 2 candidates numerically.
Remember: Two lines crossing = quantities are equal at that year — common MCQ question type.
Formula: Average = Total sum of values / Number of years — always double-check number of data points.

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