MAT Data Analysis and Sufficiency Syllabus

Data Analysis and Sufficiency syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Data Analysis and Sufficiency in MAT, not a summary of it.

1. 1

   Data Interpretation

   4 topics

   • Tabular Data
     • Single and multiple tables
     • Missing value tables
   • Graphical Data
     • Bar graphs
     • Line graphs
     • Pie charts
   • Combined and Caselet DI
     • Mixed graph sets
     • Paragraph-based caselets
   • Calculation Techniques
     • Approximation and estimation
     • Percentage and ratio comparison
2. 2

   Data Sufficiency

   3 topics

   • Concept and Answer Framework
     • Standard five-option format
     • Statement evaluation logic
   • Quant-Based Data Sufficiency
     • Arithmetic and algebra statements
     • Geometry-based statements
   • Reasoning-Based Data Sufficiency
     • Arrangement and ordering sufficiency
3. 3

   Data Comparison and Analysis

   3 topics

   • Quantitative Comparison
     • Comparing two quantities
   • Data Consistency
     • Identifying inconsistent data
   • Trend and Pattern Analysis
     • Growth and decline trends

Data Analysis and Sufficiency flashcards for MAT

21 of 51 cards from the Data Analysis and Sufficiency deck — real questions with worked answers.

1. In a Data Interpretation table, what is the standard order of operations for reading a value at a specific cell?

   First identify the relevant row (category) heading, then the relevant column heading, and read the value where they intersect; always check the table title and units (e.g., in thousands, in %) before computing.

2. When a table gives values 'in lakhs' but a question asks for the actual number, what conversion must you apply?

   Multiply each tabulated value by 1,00,000 (1 lakh = 100,000), since the table figures are scaled down by that factor.

3. In tabular DI, how do you find the percentage contribution of one cell to its row total?

   Percentage = (cell value / row total) × 100; the row total is the sum of all cells across that row.

4. What is the formula for percentage change between two periods in a data table?

   Percentage change = ((New value − Old value) / Old value) × 100; positive means increase, negative means decrease.

5. In a table comparing several entities, how do you find which entity has the highest growth rate (not highest absolute growth)?

   Compute (increase / original value) × 100 for each entity and compare these ratios; the largest ratio is the highest growth rate, which need not be the one with the largest absolute increase.

6. What is the key difference between a bar chart and a line graph in DI?

   A bar chart compares discrete quantities across categories using bar heights/lengths; a line graph shows a trend of a continuous variable over time (or a sequence) using connected points, making it better for spotting direction and rate of change.

7. In a pie chart, how do you convert a sector's central angle into its percentage share?

   Percentage = (central angle / 360°) × 100; conversely, central angle = (percentage / 100) × 360°.

8. If a pie chart sector represents 25% and the total is 7,200, what value does the sector represent and what is its angle?

   Value = 25% × 7,200 = 1,800; angle = 25% × 360° = 90°.

9. What does a stacked (component) bar chart show that a simple bar chart does not?

   It shows both the total of each category (full bar height) and the breakdown of that total into sub-components (the stacked segments), allowing part-to-whole and total comparisons simultaneously.

10. In a line graph, how do you identify the period of steepest decline?

    Find the segment between two consecutive points with the most negative slope (largest downward drop per unit of x); the steepest visual downward slant marks the steepest decline.

11. What is a histogram and how does it differ from a bar chart?

    A histogram displays the frequency distribution of continuous data grouped into class intervals, with bars touching (no gaps) and area representing frequency; a bar chart shows discrete categories with gaps between bars.

12. In DI, what is a 'caselet'?

    A caselet is a Data Interpretation set presented as a paragraph of text (a short situation/story) rather than a table or graph; the solver must extract the relevant numbers and relationships from the prose before computing.

13. What is 'combined DI' and what skill does it primarily test?

    Combined DI presents two or more linked data sources (e.g., a table plus a pie chart, or a graph plus a caselet) where answering requires pulling information from more than one source; it tests data integration and cross-referencing.

14. In a combined DI set with a table and a pie chart, what is the typical first step before answering?

    Establish the linking variable (the common total or category that connects the two sources), so you can convert a percentage from the pie chart into an absolute value from the table, or vice versa.

15. In a caselet, why is it important to note conditional or qualifying words like 'only', 'except', 'at least'?

    These words define constraints that change which data is included in a calculation; misreading them (e.g., ignoring 'except') leads to including or excluding the wrong groups and a wrong answer.

16. What calculation technique speeds up finding a percentage like 12.5% of a number?

    Use fraction equivalents: 12.5% = 1/8, so 12.5% of a number = number ÷ 8; memorizing fraction-to-percentage conversions avoids long multiplication.

17. List the percentage equivalents of the fractions 1/3, 1/6, 1/7, and 1/9 used for fast DI calculation.

    1/3 ≈ 33.33%, 1/6 ≈ 16.67%, 1/7 ≈ 14.28%, 1/9 ≈ 11.11%.

18. What is the approximation technique for quickly comparing two fractions a/b and c/d in DI?

    Cross-multiply: compare a×d with c×b. If a×d > c×b then a/b > c/d; this avoids computing each fraction's decimal value.

19. How can you quickly estimate 'X is what percent of Y' when exact values aren't needed?

    Round X and Y to convenient numbers, compute the ratio, and convert to percent; for DI multiple-choice where options are far apart, approximation to the nearest 1–2% is usually sufficient to pick the answer.

20. What is the 'successive percentage change' shortcut for two changes of a% and b%?

    Net percentage change = a + b + (a×b)/100; use a negative sign for a decrease. E.g., +20% then −10% gives 20 − 10 − (200/100) = +8%.

21. In the Concept and Answer Framework for DI, what should you do before attempting any calculation in a set?

    Scan the entire data set first — read the title, units, headings, footnotes, and legend — to understand what each number represents, so you frame each question correctly and avoid unit errors.

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