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Mixed DI / Analytical Data Sufficiency

Introduction

Mixed Data Interpretation / Analytical Data Sufficiency combines multiple types of data presentation - such as tables, charts, and ratios - within a single problem. The challenge is not just to calculate values but to determine whether the given data (statements I and II) are sufficient to answer the analytical question.

This pattern frequently appears in exams like IBPS PO, SBI PO, CAT, and campus aptitude tests, where decision-making depends on comparing or deriving data from more than one chart or table.

Pattern: Mixed DI / Analytical Data Sufficiency

Pattern

Each question presents a data set (or two charts/tables) followed by two statements (I) and (II). Your task is to decide whether one, both, or neither of the statements is sufficient to answer the question - without necessarily solving it fully.

The key skill: Check logical sufficiency, not numerical completeness.

Step-by-Step Example

Question

What is the total revenue of Store Alpha?

(I) The average price of a laptop is ₹60,000.
(II) The average price of a mobile is ₹20,000.

Options:
A. Only (I) is sufficient
B. Only (II) is sufficient
C. Each statement alone is sufficient
D. Both statements together are necessary

Solution

  1. Step 1: Analyze (I)

    With (I), we can find laptop revenue = 240 × ₹60,000, but not mobile revenue → insufficient.
  2. Step 2: Analyze (II)

    With (II), we can find mobile revenue = 360 × ₹20,000, but not total revenue → insufficient.
  3. Step 3: Combine

    Using both, we can find total revenue = (240 × ₹60,000) + (360 × ₹20,000) = ₹1.44 crore + ₹0.72 crore = ₹2.16 crore → sufficient together.
  4. Final Answer:

    Both statements together are necessary → Option D
  5. Quick Check:

    Each statement gives partial revenue, combination yields total ✅

Quick Variations

1. Mixed charts (Bar + Pie or Table + Line).

2. Ratio-based sufficiency across multiple data sources.

3. Missing data from one dataset filled by another.

4. Interpreting percent growth or efficiency using combined statements.

Trick to Always Use

  • Identify dependency: See if one data source depends on the other to complete the info.
  • Avoid solving fully: Focus on whether computation is possible, not on actual result.
  • Link charts logically: For Mixed DI, both sources may be required for a single metric.
  • Always check for derived parameters: Percent, ratio, or total often require combined data.

Summary

Summary

  • Each statement may refer to separate but connected data sets.
  • Check if one statement alone is enough to determine the target metric.
  • Never confuse partial data with sufficiency.
  • For totals, combined information is often necessary.

Example to remember:
If each statement gives only part of total or ratio data, answer → Both statements together are necessary.

Practice

(1/5)
1. Refer to the following table and answer the question:<br><br>
Company Revenue (₹ in crore)
YearCompany ACompany B
20218060
202210075
202312090
<br>What is the percentage increase in total revenue from 2021 to 2023?<br>(I) The total revenue of both companies in 2021 was ₹140 crore.<br>(II) The total revenue of both companies in 2023 was ₹210 crore.
easy
A. Only (I) is sufficient
B. Only (II) is sufficient
C. Each statement alone is sufficient
D. Both statements together are necessary

Solution

  1. Step 1: Analyze (I)

    Gives total for 2021 = ₹140 crore; total for 2023 known from table (₹210 crore) ⇒ % increase = (70 ÷ 140) × 100 = 50% → sufficient.
  2. Step 2: Analyze (II)

    Gives 2023 total = ₹210 crore; 2021 total known from table (₹140 crore) ⇒ same 50% increase → sufficient.
  3. Final Answer:

    Each statement alone is sufficient → Option C
  4. Quick Check:

    Each individually provides missing total → sufficient ✅
Hint: If one statement gives missing year data, either can suffice individually.
Common Mistakes: Thinking both totals needed even when one is given in table.
2. The pie chart shows expenditure distribution of a company.<br><br>What is the expenditure on Marketing?<br>(I) Total expenditure = ₹60 lakh.<br>(II) Marketing accounts for 30% of total expenditure.
easy
A. Only (I) is sufficient
B. Only (II) is sufficient
C. Each statement alone is sufficient
D. Both statements together are necessary

Solution

  1. Step 1: Analyze (I)

    Total = ₹60 lakh but no percentage → insufficient.
  2. Step 2: Analyze (II)

    Percentage known but total missing → insufficient.
  3. Step 3: Combine

    30% of ₹60 lakh = ₹18 lakh → sufficient.
  4. Final Answer:

    Both statements together are necessary → Option D
  5. Quick Check:

    Both total and % needed for absolute value ✅
Hint: For pie charts, total and percentage always combine to yield specific value.
Common Mistakes: Using only percentage without total context.
3. Study the line graph below and answer:<br><br>What is the total production of Plant A from 2020 to 2023?<br>(I) Plant A produced 40,000 units in 2020.<br>(II) Plant A's production increases by 10,000 units every year from 2020 to 2023.
medium
A. Only (I) is sufficient
B. Only (II) is sufficient
C. Each statement alone is sufficient
D. Both statements together are necessary

Solution

  1. Step 1: Analyze (I)

    Gives only 2020 production → insufficient to compute total.
  2. Step 2: Analyze (II)

    Provides growth rate but not starting value → insufficient.
  3. Step 3: Combine

    2020 = 40,000, then add 10,000 each year: 40,000 + 50,000 + 60,000 + 70,000 = 2,20,000 → sufficient.
  4. Final Answer:

    Both statements together are necessary → Option D
  5. Quick Check:

    One gives base, the other gives pattern → combined sufficiency ✅
Hint: When one statement gives initial value and the other gives pattern, both needed.
Common Mistakes: Assuming rate applies without base value.
4. Refer to the table below:<br><br>
Students in Four Departments
DepartmentMalesFemales
CS4020
IT3030
ECE2535
ME5010
<br>What is the percentage of females in total students?<br>(I) Total number of students across all departments = 240.<br>(II) Number of female students across all departments = 95.
medium
A. Only (I) is sufficient
B. Only (II) is sufficient
C. Each statement alone is sufficient
D. Both statements together are necessary

Solution

  1. Step 1: Analyze (I)

    Total given, but females unknown → insufficient.
  2. Step 2: Analyze (II)

    Females known, but total unknown → insufficient.
  3. Step 3: Combine

    Percentage = (95 ÷ 240) × 100 = 39.6% → sufficient.
  4. Final Answer:

    Both statements together are necessary → Option D
  5. Quick Check:

    Numerator and denominator come from two statements ✅
Hint: Whenever percentage requires both total and part, both statements are required.
Common Mistakes: Assuming total from table without cross-verification.
5. The line graph shows export data (₹ crore).<br><br>What is the total export value in 2022?<br>(I) Export in 2021 was ₹240 crore, and the increase from 2021 to 2022 was 25%. (II) The export value in 2019 was ₹160 crore, increasing by ₹40 crore every two years.
medium
A. Only (I) is sufficient
B. Only (II) is sufficient
C. Each statement alone is sufficient
D. Both statements together are necessary

Solution

  1. Step 1: Analyze (I)

    Increase 25% from ₹240 crore ⇒ ₹240 × 1.25 = ₹300 crore → sufficient.
  2. Step 2: Analyze (II)

    2019 = ₹160 crore, adds ₹40 every 2 years ⇒ 2021 = ₹200 crore, not matching 25% increase data → incomplete → insufficient.
  3. Final Answer:

    Only (I) is sufficient → Option A
  4. Quick Check:

    Percentage growth statement gives direct result ✅
Hint: When exact growth percentage and last year’s value are known, one statement suffices.
Common Mistakes: Using absolute increment rule incorrectly for given percentage increase.

Mock Test

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