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Mixed DI / Analytical Data Sufficiency

Introduction

Mixed Data Interpretation / Analytical Data Sufficiency में एक ही सवाल में कई तरह की data presentation - जैसे tables, charts, ratios - को जोड़ा जाता है। चुनौती यह होती है कि values calculate करने के बजाय यह तय किया जाए कि दिए गए statements (I) और (II) - सवाल का जवाब देने के लिए - पर्याप्त हैं या नहीं।

यह pattern अक्सर IBPS PO, SBI PO, CAT, और campus aptitude tests में दिखता है, जहाँ decision-making कई data sources की तुलना पर आधारित होती है।

Pattern: Mixed DI / Analytical Data Sufficiency

Pattern

हर प्रश्न में एक data set (या दो charts/tables) और दो statements (I) तथा (II) दिए जाते हैं। आपका काम यह तय करना है कि केवल statement (I), केवल statement (II), या दोनों मिलकर - सवाल का जवाब देने के लिए पर्याप्त हैं या नहीं, पूरी calculation किए बिना।

मुख्य skill: logical sufficiency check करना, numerical completeness नहीं।

Step-by-Step Example

Question

Store Alpha का total revenue कितना है?

(I) Laptop की average price ₹60,000 है।
(II) Mobile की average price ₹20,000 है।

Options:
A. केवल (I) पर्याप्त है
B. केवल (II) पर्याप्त है
C. प्रत्येक statement अकेले पर्याप्त है
D. दोनों statements साथ में आवश्यक हैं

Solution

  1. Step 1: (I) का विश्लेषण

    (I) से हम laptop revenue = 240 × ₹60,000 निकाल सकते हैं, लेकिन mobile revenue नहीं मिल सकता → insufficient.

  2. Step 2: (II) का विश्लेषण

    (II) से हम mobile revenue = 360 × ₹20,000 निकाल सकते हैं, लेकिन total revenue नहीं मिलेगा → insufficient.

  3. Step 3: Combine

    दोनों मिलकर laptop + mobile दोनों revenue दे देते हैं → total revenue मिल जाता है → sufficient together.

  4. Final Answer:

    दोनों statements साथ में आवश्यक हैं → Option D

  5. Quick Check:

    एक statement partial revenue देता है, दूसरा दूसरा हिस्सा - total तभी मिलेगा जब दोनों हों ✅

Quick Variations

1. Mixed charts (Bar + Pie, Table + Line)।

2. Ratio-based sufficiency कई data sources पर।

3. एक dataset की missing जानकारी दूसरे dataset से fill करना।

4. Percent growth या efficiency निकालने के लिए दोनों statements की जरूरत।

Trick to Always Use

  • Dependency पहचानें: क्या एक data दूसरे पर निर्भर है?
  • Pura solve न करें: केवल check करें कि solving संभव है या नहीं।
  • Charts को logically link करें: Mixed DI में दोनों sources एक ही metric के लिए जरूरी हो सकते हैं।
  • Derived parameters देखें: Percentage, ratio या total अक्सर combined data मांगते हैं।

Summary

Summary

  • हर statement अलग-but connected-data दे सकता है।
  • Check करें कि single statement target metric uniquely देता है या नहीं।
  • Partial data को sufficiency न समझें।
  • Totals और derived values अक्सर दोनों statements मांगते हैं।

याद रखने वाला उदाहरण:
यदि हर statement सिर्फ total का एक हिस्सा देता है, तो जवाब होगा - दोनों statements साथ में आवश्यक।

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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