Data Interpretation: Tables, Charts and Graphs Previous Year Questions (PYQs) for GATE DA: 3+ Solved Questions with Step-by-Step Solutions

    Solve 3+ Data Interpretation: Tables, Charts and Graphs previous year questions for GATE DA with answers and detailed solutions. Free sample questions below.

    Chapter Roadmap: Data Interpretation

    Chapter Journey: Data Interpretation

    Step 1: Chart-Based Percentage and Average Interpretation
    Focus: Pie charts, bar graphs, and line charts.
    Core Skill: Converting visual proportions into exact percentages and weighted averages.
    Weightage: High (Foundation for all DI questions).
    Step 2: Grid and Matrix Data Counting
    Focus: 2D arrays, pixel intensity matrices, and tabular conditions.
    Core Skill: Systematic counting under multiple simultaneous constraints.
    Weightage: Moderate (Requires careful, methodical checking).
    Mastery Goal: You will learn to bypass visual deception and extract raw numerical truth from any chart or grid in under two minutes.

    Topic Hero: The Core of Chart Interpretation

    The Core Principle

    Every chart interpretation problem reduces to a single mapping:

    Visual Feature ↔ Numerical Value
    Pie Chart: Angle or Area ↔ Percentage of Total
    Bar/Line Chart: Height or Position ↔ Absolute Value or Frequency
    The Golden Rule: Always identify the denominator (the total or base) before calculating any percentage or average. Charts often omit the total, requiring you to deduce it from a known segment's value and its visual proportion.

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

    Question 1 · Quantitative Aptitude MCQ
    The number of patients per shift consulting Dr. Gita in her past shifts is shown in the figure. If the amount she earns is ₹ , what is the average amount (in ₹) she has earned per shift in the past shifts?

    Note: The figure shown is representative.

    20 40 30 10 0 10 20 30 40 50 5 6 7 8 Number of patients per shift (X) Number of shifts
    1. A.

      6,100

    2. B.

      6,300

    3. C.

      6,000

    4. D.

      6,500

    Correct Answer:

    A

    Step-by-Step Solution

    Key idea: This is a weighted average and linear transformation question, recognisable because it gives a frequency distribution (bar chart) and asks for the average of a linear function of the variable.

    Step 1: Calculate the total number of patients across all shifts. From the chart: (5 20) + (6 40) + (7 30) + (8 10) = 100 + 240 + 210 + 80 = 630.

    Step 2: Calculate the average number of patients per shift, \bar{X}. \bar{X} = 630 / 100 = 6.3.

    Step 3: Apply the linear transformation for earnings. The average earnings per shift is 1000(\bar{X} - 0.2).

    Step 4: Substitute \bar{X}: 1000(6.3 - 0.2) = 1000(6.1) = 6100.

    Answer: A

    Question 2 · Quantitative Aptitude MCQ
    In an election, the share of valid votes received by the four candidates A, B, C, and
    D is represented by the pie chart shown. The total number of votes cast in the
    election were 1,15,000, out of which 5,000 were invalid.
    Share of valid votesA40%B25%C20%D15%
    Based on the data provided, the total number of valid votes received by the
    candidates B and C is
    1. A.

      45,000

    2. B.

      49,500

    3. C.

      51,750

    4. D.

      54,000

    Correct Answer:

    B

    Step-by-Step Solution

    Key idea: This is a pie chart interpretation question with a valid/invalid data trap, recognisable because it gives total votes, invalid votes, and percentages that apply only to valid votes.

    Step 1: Calculate the total number of valid votes. Total votes = 1,15,000. Invalid votes = 5,000. Valid votes = 1,15,000 - 5,000 = 1,10,000.

    Step 2: Identify the combined percentage share of candidates B and C from the pie chart. Share of B = 25%, Share of C = 20%. Combined share = 25% + 20% = 45%.

    Step 3: Calculate the number of valid votes for B and C. 45% of 1,10,000 = 0.45 \times 1,10,000 = 49,500.

    Answer: B

    Question 3 · Quantitative Aptitude MCQ
    A digital image has pixel intensities as shown in the figure. The number of pixels with is:

    0 1 0 2 4 7 3 3 5 5 4 4 6 7 3 2
    1. A.

      3

    2. B.

      8

    3. C.

      11

    4. D.

      9

    Correct Answer:

    C

    Step-by-Step Solution

    Key idea: This is a systematic counting question on a matrix, recognisable because it provides a grid of numerical values and asks for the count of cells satisfying a specific inequality condition.

    Step 1: Identify the condition. We need to count cells where the pixel intensity U \leq 4.

    Step 2: Examine each row systematically.

    • Row 1: 0, 1, 0, 2 (All 4 values are \leq 4) -> Count = 4
    • Row 2: 4, 7, 3, 3 (4, 3, 3 are \leq 4) -> Count = 3
    • Row 3: 5, 5, 4, 4 (4, 4 are \leq 4) -> Count = 2
    • Row 4: 6, 7, 3, 2 (3, 2 are \leq 4) -> Count = 2

    Step 3: Sum the counts. Total = 4 + 3 + 2 + 2 = 11.

    Answer: C

    chapter
    Data Interpretation: Tables, Charts and Graphs Previous Year Questions (PYQs) for GATE DA: 3+ Solved Questions with Step-by-Step Solutions

    Solve 3+ Data Interpretation: Tables, Charts and Graphs previous year questions for GATE DA with answers and detailed solutions. Free sample questions below.

    A question from this chapter

    Question 1
    The number of patients per shift consulting Dr. Gita in her past shifts is shown in the figure. If the amount she earns is ₹ , what is the average amount (in ₹) she has earned per shift in the past shifts?

    Note: The figure shown is representative.

    20 40 30 10 0 10 20 30 40 50 5 6 7 8 Number of patients per shift (X) Number of shifts
    Question 2
    In an election, the share of valid votes received by the four candidates A, B, C, and
    D is represented by the pie chart shown. The total number of votes cast in the
    election were 1,15,000, out of which 5,000 were invalid.
    Share of valid votesA40%B25%C20%D15%
    Based on the data provided, the total number of valid votes received by the
    candidates B and C is
    Question 3
    A digital image has pixel intensities as shown in the figure. The number of pixels with is:

    0 1 0 2 4 7 3 3 5 5 4 4 6 7 3 2
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