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AFCAT Bar Charts

Study Material — 51 PYQs (2018–2020) · Concept Notes · Shortcuts

AFCAT Bar Charts is a frequently tested subtopic — 51 previous year questions from 2018–2020 papers are included below with concept notes, key rules and shortcut tricks.

51 PYQs
2018–2020
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Previous Year Questions

AFCAT Bar Charts — Past Exam Questions

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

📊Data / Passage
Directions

Study the following table showing quarterly sales (in lakhs ₹) of five companies and answer the questions.

CompanyQ1Q2Q3Q4
Alpha40506070
Beta30354045
Gamma50556065
Delta20253035
Epsilon60657075
Exam Q 12019Previous Year Pattern

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

Exam Q 22019Previous Year Pattern

What is the total sales of Alpha company across all four quarters?

Exam Q 32019Previous Year Pattern

What is the average quarterly sales of Delta company?

📊Data / Passage
Directions

Study the following table showing the sales (in lakhs of rupees) of five different products across four quarters and answer the questions.

ProductQ1Q2Q3Q4
Product A120140160180
Product B100110120130
Product C8090100110
Product D150150150150
Product E607590105
Exam Q 42019Previous Year Pattern

By what percentage did Product E's sales increase from Q1 to Q4?

📊Data / Passage
Directions

Study the following table showing the sales (in lakhs of rupees) of five different product categories across four quarters of a financial year, and answer the questions.

Product CategoryQ1Q2Q3Q4
Electronics120150180210
Clothing80100120140
Home & Kitchen607590105
Sports & Outdoors40506070
Books & Media20253035
Exam Q 52020Previous Year Pattern

What is the ratio of Q4 sales of Books & Media to Q4 sales of Sports & Outdoors?

📊Data / Passage
Directions

Study the following table showing monthly sales (in lakhs of rupees) of five retail stores and answer the questions.

Store NameJanuaryFebruaryMarchAprilMay
Store A4550556065
Store B3035404550
Store C6058565452
Store D4042444648
Store E5055606570
Exam Q 62020Previous Year Pattern

By what percentage did Store B's sales increase from January to May?

Exam Q 72020Previous Year Pattern

Which store showed a consistent decrease in sales from January to May?

Exam Q 82020Previous Year Pattern

What is the average monthly sales of Store D over the five months?

Exam Q 92020Previous Year Pattern

What is the difference between the total sales of Store E and Store C over all five months?

Exam Q 102020Previous Year Pattern

Which product category had the highest total sales across all four quarters?

Exam Q 112020Previous Year Pattern

By what percentage did Clothing sales increase from Q1 to Q4?

Exam Q 122020Previous Year Pattern

What is the total sales of Electronics category across all four quarters?

Exam Q 132019Previous Year Pattern

What is the total sales of Product A across all four quarters?

Exam Q 142020Previous Year Pattern

What is the total sales of Store A across all five months?

Exam Q 152019Previous Year Pattern

Which company has the highest sales in Q3?

Exam Q 162019Previous Year Pattern

Which product has the highest sales in Q4?

Exam Q 172019Previous Year Pattern

What is the average quarterly sales of Product C?

Exam Q 182019Previous Year Pattern

What is the ratio of Q2 sales of Gamma to Q2 sales of Delta?

Exam Q 192019Previous Year Pattern

What is the ratio of Q2 sales of Product B to Q2 sales of Product D?

📊Data / Passage
Directions

Study the following table showing quarterly sales data (in lakhs of rupees) for five product categories across a year, and answer the questions.

Product CategoryQ1Q2Q3Q4
Electronics120150180210
Clothing80100120140
Home & Kitchen607590105
Sports40506070
Books20253035
Exam Q 202019Previous Year Pattern

What is the average quarterly sales for Books across all four quarters?

📊Data / Passage
Directions

Study the following bar chart data (represented as a table) showing the Sales (in ₹ Lakhs) of five companies — A, B, C, D, and E — over the years 2019, 2020, 2021, and 2022. Answer the questions that follow.

Company2019202020212022
A120150180240
B200160220260
C80100140160
D160200180220
E100120160200

All values are in ₹ Lakhs.

Exam Q 212018Previous Year Pattern

In which year was the total combined sales of all five companies the highest, and what was that total (in ₹ Lakhs)?

📊Data / Passage
Directions

Study the following table showing quarterly sales data (in lakhs of rupees) for five product categories of TechCorp Industries and answer the questions.

Product CategoryQ1Q2Q3Q4
Smartphones120150180210
Laptops80100120140
Tablets607590105
Accessories40506070
Software50607080
Exam Q 222019Previous Year Pattern

In Q2, what is the difference between total sales of Smartphones and Tablets combined versus Software and Accessories combined (in lakhs)?

📊Data / Passage
Directions

Study the following table showing quarterly sales (in lakhs ₹) of five companies and answer the questions.

CompanyQ1Q2Q3Q4
Alpha120150180210
Beta100120140160
Gamma80100120140
Delta140140140140
Epsilon6090120150
Exam Q 232020Previous Year Pattern

What is the ratio of Q4 sales of Alpha to Q4 sales of Gamma?

📊Data / Passage
Directions

Study the following bar chart data (presented as a table) carefully and answer the questions that follow. The table below shows the Sales (in ₹ Lakhs) of five companies — A, B, C, D, and E — over four years: 2020, 2021, 2022, and 2023.

Company2020202120222023
A120150180240
B200160220260
C80100140175
D160200250300
E100120160225

All values are in ₹ Lakhs.

Exam Q 242018Previous Year Pattern

What is the ratio of total sales of Company A to total sales of Company C over all four years?

Exam Q 252019Previous Year Pattern

By what percentage did Smartphones sales increase from Q1 to Q4?

Exam Q 262019Previous Year Pattern

What is the ratio of Q2 sales of Home & Kitchen to Q2 sales of Sports?

Exam Q 272019Previous Year Pattern

By what percentage did Electronics sales increase from Q1 to Q4?

Exam Q 282018Previous Year Pattern

The sales of Company B in 2021 is what percentage more or less than the sales of Company D in the same year?

📊Data / Passage
Directions

Study the following bar chart data (presented as a table) carefully and answer the questions that follow. The table below shows the Sales (in ₹ Lakhs) of five companies — A, B, C, D, and E — over four years: 2020, 2021, 2022, and 2023.

Company2020202120222023
A120150180210
B200240220280
C160180200240
D80100140160
E240210260310

Note: All values are in ₹ Lakhs.

Exam Q 292018Previous Year Pattern

In 2022, the combined sales of Company A and Company D is what percentage of the combined sales of Company B and Company E in the same year?

Exam Q 302019Previous Year Pattern

What is the total sales revenue for the Clothing category across all four quarters?

Exam Q 312020Previous Year Pattern

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

Exam Q 322018Previous Year Pattern

What is the average sales (in ₹ Lakhs) of Company C over all four years?

Exam Q 332019Previous Year Pattern

In Q3, which product category had sales equal to 50% of Electronics sales in that quarter?

Exam Q 342019Previous Year Pattern

What is the ratio of Q3 sales of Tablets to Q3 sales of Accessories?

Exam Q 352018Previous Year Pattern

What is the ratio of total sales of Company A to total sales of Company B over all four years?

Exam Q 362019Previous Year Pattern

What is the average quarterly sales (in lakhs) for Laptops across all four quarters?

Exam Q 372018Previous Year Pattern

What is the percentage increase in sales of Company E from 2019 to 2022?

Exam Q 382018Previous Year Pattern

The sales of Company A in 2023 is what percentage more than the sales of Company E in 2022?

Exam Q 392019Previous Year Pattern

Which product category shows a consistent quarter-on-quarter growth of exactly 30 lakhs in each quarter?

Exam Q 402020Previous Year Pattern

What is the average Q2 sales across all five companies?

Exam Q 412018Previous Year Pattern

By what percentage did the sales of Company D increase from 2020 to 2023?

Exam Q 422018Previous Year Pattern

In which year was the combined sales of Company B and Company E together the highest?

📊Data / Passage
Directions

Study the following bar chart data (represented as a table) showing the Sales Revenue (in ₹ Lakhs) of five companies — Alpha, Beta, Gamma, Delta, and Epsilon — over four years (2020, 2021, 2022, 2023), and answer the questions that follow.

Company2020202120222023
Alpha120150180240
Beta200160220260
Gamma160200240200
Delta100140175280
Epsilon180210150270

All values are in ₹ Lakhs.

Exam Q 432018Previous Year Pattern

What is the ratio of total sales revenue of Alpha in 2020 and 2021 combined to the total sales revenue of Beta in 2022 and 2023 combined?

📊Data / Passage
Directions

Study the following table showing quarterly sales data (in lakhs ₹) for five product categories across four quarters of a financial year, and answer the questions.

Product CategoryQ1Q2Q3Q4
Electronics240280320360
Clothing180198216234
Home & Kitchen150165180195
Sports & Outdoors120132144156
Books & Media9099108117
Exam Q 442019Previous Year Pattern

By what percentage did Home & Kitchen sales increase from Q1 to Q4?

Exam Q 452019Previous Year Pattern

What is the average quarterly sales of Sports & Outdoors across all four quarters?

Exam Q 462019Previous Year Pattern

What is the ratio of total sales of Electronics in Q1 and Q2 combined to total sales of Clothing in Q3 and Q4 combined?

📊Data / Passage
Directions

Study the following table showing quarterly sales (in lakhs ₹) of five product categories across a retail company for the year 2023, and answer the questions.

Product CategoryQ1Q2Q3Q4
Electronics240280320360
Clothing180198216240
Home & Kitchen150165180210
Sports & Outdoors120132156180
Books & Media60667284
Exam Q 472019Previous Year Pattern

By what percentage did the sales of Clothing category increase from Q1 to Q4?

Exam Q 482019Previous Year Pattern

In Q3, what is the difference between the combined sales of Electronics and Home & Kitchen and the combined sales of Books & Media and Sports & Outdoors?

Exam Q 492019Previous Year Pattern

What is the ratio of total annual sales of Electronics to total annual sales of Books & Media?

Exam Q 502019Previous Year Pattern

What is the average quarterly sales of Home & Kitchen category for the entire year?

Exam Q 512019Previous Year Pattern

In Q3, which product category's sales were closest to the average sales of all categories in that quarter?

Concept Notes

Bar Charts— Rules & Concept

1.Core Concept

Read this first — the foundation of the topic

BAR CHARTS — COMPLETE GUIDE FOR SSC CGL ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

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

A bar chart is a graph that uses rectangular bars to show data. Each bar represents one category or time period. The HEIGHT (or LENGTH) of the bar shows the VALUE of that category. Bars can be vertical (column chart) or horizontal. In SSC CGL, bar charts appear in almost every paper — usually 4 to 5 questions per set. You are given a bar chart and asked to find totals, averages, percentage change, ratios, or differences between values. The data is READ from the bar heights using the Y-axis scale.

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

2.Key Rules

Core rules you must know cold
1

Always read the Y-axis scale carefully. Check if values are in units, thousands, lakhs, or crores.

2

Grouped bar charts show multiple bars side by side for one category — compare bars within the same group.

3

Stacked bar charts pile bars on top of each other — read individual segments carefully.

4

The X-axis usually shows categories (years, months, products, departments).

5

Never assume values — always calculate from the scale.

3.Formula Block

Memorise — at least one formula appears in every paper
Percentage Change = ((New Value - Old Value) / Old Value) x 100
Average = Sum of all values / Number of values
Ratio = Value A : Value B (simplify by dividing both by HCF)
Percentage Share = (Individual Value / Total Value) x 100
Difference = Larger value - Smaller value

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

4.Exam Patterns

What examiners ask — read before attempting PYQs
Learn these

Pattern 1 — Percentage Increase/Decrease: Compare two bars and find % change

Pattern 2 — Average

Add values of given years and divide by count

Pattern 3 — Ratio

Write two bar values as a fraction and simplify

Pattern 4 — Total

Add all bars or selected bars

Pattern 5 — Difference

Subtract one bar value from another

Pattern 6 — Percentage Share

One bar as % of total of all bars. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

5.Shortcuts

Use these to save 30–60 seconds per question
Common fractions to memorise

1/4=25%, 1/5=20%, 1/3=33.33%, 1/6=16.67%, 1/8=12.5% TRICK 2 — AVERAGE SHORTCUT: Instead of adding all values and dividing, pick any one value as BASE. Find how much each other value is above or below the base. Average the differences and add/subtract from base

Example

Values are 200, 220, 180, 240, 210. Pick base = 200

Differences

0, +20, -20, +40, +10. Sum of differences = +50. Average difference = 50/5 = 10. Average = 200 + 10 = 210

TRICK 3 — RATIO SIMPLIFICATION

Always divide both values by their HCF immediately. If bars show 240 and 360, HCF = 120. Ratio = 2:3

Do not leave ratios as 240

360 — examiners test your simplification. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

6.Worked Example

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

Find the change. Change = 650 - 500 = 150

2
Step 2

Divide by the OLD value (base year). 150 / 500 = 3/10

3
Step 3

Multiply by 100. 3/10 x 100 = 30% Answer: 30% increase Key point: Always divide by the OLD (earlier) value, NOT the new value. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ WORKED EXAMPLE 2 — AVERAGE AND RATIO ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Question: A bar chart shows production (in thousands) for 5 years: 2018=40, 2019=60, 2020=50, 2021=80, 2022=70. (A) Find the average production. (B) Find the ratio of production in 2019 to 2022. Part A — Average:

1
Step 1

Add all values. 40 + 60 + 50 + 80 + 70 = 300

2
Step 2

Divide by number of years. 300 / 5 = 60 Answer: Average = 60 thousand units Part B — Ratio:

1
Step 1

Write values. 2019 = 60, 2022 = 70

2
Step 2

Ratio = 60:70

3
Step 3

HCF of 60 and 70 = 10. Divide both. 60/10 : 70/10 = 6:7 Answer: Ratio = 6:7 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

7.Exam Traps

Common mistakes students make — avoid these

— NUMBER 1 TRAP ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ MOST COMMON TRAP: Students use the WRONG BASE in percentage change questions. For PERCENTAGE INCREASE — divide by the SMALLER (earlier) value. For PERCENTAGE DECREASE — divide by the LARGER (earlier) value. Both cases: always divide by the ORIGINAL (starting) value. Example of the trap: If value drops from 500 to 400, wrong answer = 100/400 x 100 = 25% decrease. Correct answer = 100/500 x 100 = 20% decrease. The trap answer option 25% will always be in the choices to fool you.

Always use the starting value as your base.

Key Points to Remember

  • Bar height = value of that category; always read Y-axis scale and unit (units/thousands/lakhs/crores) first.
  • Percentage Change formula: ((New - Old) / Old) x 100 — always divide by the OLD value.
  • Shortcut: Memorise fraction-to-percent conversions — 1/4=25%, 1/5=20%, 1/3=33.33%, 1/6=16.67%, 1/8=12.5%.
  • Average shortcut: Pick a base value, find deviations of other values, average the deviations, add to base.
  • Always simplify ratios by dividing both values by their HCF immediately.
  • Percentage Share formula: (Individual bar value / Sum of all bars) x 100.
  • Grouped bar chart: Compare bars within the same group; stacked bar chart: read each segment separately.
  • Six fixed question patterns in SSC CGL: % change, average, ratio, total, difference, percentage share.
  • Trap: In % decrease questions, the wrong base answer is always included as an option — always use the starting (original) value.
  • For average of selected bars only: add ONLY the specified bars, divide by ONLY that count — do not include all bars.

Exam-Specific Tips

  • In SSC CGL Tier-1, Data Interpretation carries 4-5 questions per set and typically 1-2 sets appear per paper, making it 4-10 marks per exam.
  • Percentage Change = ((New Value - Old Value) / Old Value) x 100 — this single formula covers both increase and decrease questions.
  • 1/8 = 12.5%, 1/6 = 16.67%, 1/5 = 20%, 1/4 = 25%, 1/3 = 33.33% — these fraction shortcuts appear directly in bar chart percentage questions.
  • In a stacked bar chart, the value of a segment = top boundary of that segment MINUS the bottom boundary of that segment on the Y-axis scale.
  • Percentage Share of one category = (Value of that bar / Total of all bars) x 100 — result must be between 0% and 100%.
  • If a bar chart uses scale 'in thousands', a bar reading of 45 on the Y-axis means the actual value is 45,000 — ignoring the unit multiplier is a direct cause of wrong answers.
  • The average of n bar values = Sum of all n bar values divided by n — do not include bars from outside the specified range.
  • Ratio questions in bar charts always require final simplification; unsimplified ratios like 240:360 are always wrong answer options designed as traps.
Practice MCQs

Bar Charts — Practice Questions

70graded MCQs · easy to hard · full solution & trap analysis · showing 20 of 70

All MCQs →
📊Data / Passage
Directions

Study the following table showing monthly sales (in lakhs of rupees) of five retail stores and answer the questions.

Store NameJanuaryFebruaryMarchAprilMay
Store A4550556070
Store B3035404550
Store C6065707580
Store D2530354045
Store E4045505560
Practice 1easy

What is the total sales of Store C across all five months?

📊Data / Passage
Directions

Study the following table showing monthly sales (in lakhs of rupees) of five retail stores and answer the questions.

Store NameJanuaryFebruaryMarchAprilMay
Store A4550556070
Store B3035404550
Store C6065707580
Store D2530354045
Store E4045505560
Practice 2easy

What is the difference between the total sales of Store C and Store D across all five months?

📊Data / Passage
Directions

Study the following table showing quarterly sales (in lakhs ₹) of five companies and answer the questions.

CompanyQ1Q2Q3Q4
Alpha40506070
Beta30354045
Gamma50555560
Delta20253035
Epsilon60657075
Practice 3easy

Which company has the highest sales in Q3?

Practice 4easy

What is the average monthly sales of Store B across all five months?

📊Data / Passage
Directions

Study the following table showing quarterly sales (in lakhs ₹) of five companies and answer the questions.

CompanyQ1Q2Q3Q4
Alpha40506070
Beta30354045
Gamma50555560
Delta20253035
Epsilon60606575
Practice 5easy

Which company had the highest sales in Q4?

Practice 6easy

What is the ratio of Store D's sales in May to Store A's sales in January?

Practice 7easy

By what percentage did company Delta's sales increase from Q1 to Q4?

Practice 8easy

By what percentage did Alpha's sales increase from Q1 to Q4?

Practice 9easy

What is the ratio of Delta's Q1 sales to Epsilon's Q1 sales?

Practice 10easy

Which store had the lowest sales in February?

Practice 11easy

What is the average monthly sales of Store B across all five months?

Practice 12easy

What is the average quarterly sales of company Beta?

Practice 13easy

Which store had the highest sales in March, and what was the amount?

Practice 14easy

What is the total sales of Store C across all five months?

Practice 15easy

By what percentage did Store A's sales increase from January to May?

Practice 16easy

What is the total sales of company Alpha across all four quarters?

Practice 17easy

What is the average quarterly sales of Gamma company?

Practice 18easy

What is the ratio of Q2 sales of Gamma to Q2 sales of Delta?

Practice 19easy

What is the total sales of Beta company across all four quarters?

📊Data / Passage
Directions

Study the following table showing quarterly sales (in lakhs ₹) of five companies and answer the questions.

CompanyQ1Q2Q3Q4
Alpha120150180210
Beta100120140160
Gamma80100120140
Delta140140140140
Epsilon110132158190
Practice 20medium

What is the average Q2 sales across all five companies?

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60-Second Revision — Bar Charts

  • Remember: Always check the Y-axis unit FIRST — values may be in thousands or lakhs; multiply your reading by that unit before calculating.
  • Formula: Percentage Change = ((New - Old) / Old) x 100 — OLD value is ALWAYS the denominator, no exceptions.
  • Trap: In % decrease questions, the option using the new (smaller) value as base will always appear — reject it; use the original starting value.
  • Shortcut: Use fraction conversions (1/5=20%, 1/4=25%, 1/3=33.33%) to find percentages mentally without long division.
  • Formula: Average = Sum of selected bars / Count of selected bars — include only the bars specified in the question.
  • Remember: Simplify every ratio by HCF before matching with options — 60:70 must become 6:7 or you will miss the answer.
  • Trap: In grouped/stacked bar charts, read the correct bar or segment — misreading the wrong bar is the second most common error after wrong base in percentage.
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