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    Charts and Graphical Data Interpretation PYQs for GATE CS

    Solve 3+ Charts and Graphical Data Interpretation previous year questions for GATE CS with answers and detailed solutions. Free sample questions below.

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    Question 1
    2024 Slot Set2 PYQ
    Level 3: Exam Standard
    The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023.

    Year2007Year2023Coal35%Gas25%Hydro30%Solar 5%Wind5%Coal20%Gas15%Hydro35%Solar20%Wind10%

    The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?
    Question 2
    2024 Slot Set1 PYQ
    Level 3: Exam Standard
    The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

    Macronutrient energy contribution Carbohydrates 35% Proteins 20% Unsaturated fat 20% Saturated fat 20% Trans fat 5% The typical energy density (kcal/g) of these macronutrients is given in the table. Macronutrient Energy density (kcal/g) Carbohydrates 4 Proteins 4 Unsaturated fat 9 Saturated fat 9 Trans fat 9
    The total fat (all three types), in grams, this person consumes is
    Question 3
    2021 Slot Set2 PYQ
    Level 3: Exam Standard
    0 50 100 150 200 250 300 350 100 240 200 296 300 210 Year 1 Year 2 Year 3 Number of units Net Profit (₹)
    The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was ₹ 1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13% and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and the sum of cost and taxes paid in that year.

    The ratio of the selling price in Year 2 to the selling price in Year 3 is ________.
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    Charts and Graphical Data Interpretation PYQs for GATE CS

    Solve 3+ Charts and Graphical Data Interpretation previous year questions for GATE CS with answers and detailed solutions. Free sample questions below.

    Chapter Roadmap: Charts and Graphical Data Interpretation

    Chapter Roadmap: Charts and Graphical Data Interpretation

    1. Pie Chart Interpretation and Percentage Change
    Current Topic. Master converting degrees to percentages, finding absolute values, and calculating true percentage change versus percentage points.
    2. Bar Charts and Ratio Comparison
    Up next. Learn to extract data from vertical and horizontal bars and solve multi-variable ratio problems efficiently.

    Topic Hero: The Essence of Pie Charts

    Topic Hero: The Essence of Pie Charts

    100%

    A pie chart is a circular statistical graphic divided into sectors, or slices, to illustrate numerical proportion.

    Core Principles:
    • The entire circle represents the Total Value, which is always or .
    • The arc length, central angle, and area of each slice are strictly proportional to the quantity it represents.
    • Data is rarely given in absolute numbers directly; you must derive them using the total value and the given percentage or angle.

    Charts and Graphical Data Interpretation: Solved Questions with Step-by-Step Explanations (3 Problems)

    Question 1 · Quantitative Aptitude · 2024_Set2 MCQ
    The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023.

    Year2007Year2023Coal35%Gas25%Hydro30%Solar 5%Wind5%Coal20%Gas15%Hydro35%Solar20%Wind10%

    The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?
    1. A.

      25%

    2. B.

      50%

    3. C.

      77.5%

    4. D.

      62.5%

    Correct Answer:

    D

    Step-by-Step Solution

    Insight: Since total electricity generated remains constant across both years, percentage shares can be used directly in the percentage change formula without converting to absolute values.

    Exam route: Sum the renewable percentages for each year, then apply (new − old)/old × 100.

    Learning route:

    Step 1: Identify renewable sources from the question statement: Hydro, Solar, and Wind.

    Step 2: Sum renewable share for 2007 from the pie chart: Hydro 30% + Solar 5% + Wind 5% = 40%.

    Step 3: Sum renewable share for 2023 from the pie chart: Hydro 35% + Solar 20% + Wind 10% = 65%.

    Step 4: Since total generation is constant, the percentage increase in share equals the percentage increase in actual generation. The old value is the anchor denominator.

    Step 5: Apply the percentage change formula:

    Verification: If total generation = 100 units, renewables went from 40 to 65 units. . ✓

    Question 2 · Quantitative Aptitude · 2024_Set1 MCQ
    The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

    Macronutrient energy contribution Carbohydrates 35% Proteins 20% Unsaturated fat 20% Saturated fat 20% Trans fat 5% The typical energy density (kcal/g) of these macronutrients is given in the table. Macronutrient Energy density (kcal/g) Carbohydrates 4 Proteins 4 Unsaturated fat 9 Saturated fat 9 Trans fat 9
    The total fat (all three types), in grams, this person consumes is
    1. A.

    2. B.

    3. C.

    4. D.

    Correct Answer:

    C

    Step-by-Step Solution

    Insight: "Total fat" means the sum of all fat categories. Convert the combined percentage to energy using the total diet kcal, then divide by the fat energy density to get grams.

    Exam route: Sum fat percentages → multiply by 2000 → divide by 9.

    Learning route:

    Step 1: Identify all fat categories from the pie chart: Unsaturated fat (20%), Saturated fat (20%), and Trans fat (5%). Carbohydrates and Proteins are not fats.

    Step 2: Sum total fat percentage: 20% + 20% + 5% = 45% of the diet.

    Step 3: Calculate energy from fat: 45% of 2000 kcal = 0.45 × 2000 = 900 kcal.

    Step 4: From the energy density table, all three fats have the same density: 9 kcal/g.

    Step 5: Convert energy to mass:

    Verification: 100 g × 9 kcal/g = 900 kcal. 900/2000 = 0.45 = 45% of total diet, which matches the sum 20% + 20% + 5% = 45%. ✓

    Question 3 · Quantitative Aptitude · 2021_Set2 MCQ
    0 50 100 150 200 250 300 350 100 240 200 296 300 210 Year 1 Year 2 Year 3 Number of units Net Profit (₹)
    The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was ₹ 1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13% and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and the sum of cost and taxes paid in that year.

    The ratio of the selling price in Year 2 to the selling price in Year 3 is ________.
    1. A.

      4:3

    2. B.

      1:1

    3. C.

      3:4

    4. D.

      1:2

    Correct Answer:

    A

    Step-by-Step Solution

    Insight: Net Profit = Selling Price − Cost − Tax, where Tax is a percentage of Selling Price. Rearranging gives SP = (Net Profit + Cost) / (1 − tax rate).

    Exam route: Extract units sold and profits from the bar chart, compute costs from the given cost/unit relationships, solve for SP₂ and SP₃, then simplify their ratio.

    Learning route:

    Step 1: Extract data from the bar chart labels:

    • Year 1: 100 units sold, ₹240 net profit
    • Year 2: 200 units sold, ₹296 net profit
    • Year 3: 300 units sold, ₹210 net profit

    Step 2: Determine cost/unit for each year from the problem statement:

    • Year 3 cost/unit = ₹1
    • Year 2 cost/unit = ₹2 (since Year 3 is half of Year 2)
    • Year 1 cost/unit = ₹3 (since Year 3 is one-third of Year 1)

    Step 3: Calculate total cost for Years 2 and 3:

    • Cost₂ = 200 units × ₹2 = ₹400
    • Cost₃ = 300 units × ₹1 = ₹300

    Step 4: Set up the net profit equation. Tax is on selling price, so:

    Step 5: Rearrange to solve for SP:

    Step 6: Calculate SP₂ with 13% tax:

    Step 7: Calculate SP₃ with 15% tax:

    Step 8: Find the required ratio SP₂ : SP₃ = 800 : 600 = 4 : 3.

    Verification: Year 2: SP=800, Tax=13%×800=104, Cost=400, Profit=800−104−400=296 ✓. Year 3: SP=600, Tax=15%×600=90, Cost=300, Profit=600−90−300=210 ✓.

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