Data Interpretation Di MCQs
High-yield multiple choice questions asked in previous years (UPSC, SSC CGL, JKSSB, RRB & State PSCs).
High-Yield Concept Capsule & Key Facts
📌 High-weightage anchor section across IBPS PO/Clerk, SBI PO, SSC CGL Tier 2, RRB NTPC, and CAT.
Core Graphic Formats & Data Representations
- • Tabular DI: Multi-variable datasets representing years, products, sales, and percentages across structured grids.
- • Bar Graphs: Discrete comparisons along vertical or horizontal categorical scales (Single, Grouped, Stacked).
- • Pie Charts: Degree allocation (360° = 100%) and percentage allocation. Formula: Central Angle = (Value / Total) × 360°.
- • Line Graphs: Continuous temporal progression tracking trends over months, quarters, or years.
Standard Mathematical Operations in DI Sets
- • Percentage Increase / Decrease: ((Final - Initial) / Initial) × 100.
- • Ratio Comparisons: Cross-multiplication method (a/b vs c/d: compare a×d with b×c) to avoid slow manual long division.
- • Approximation & Vedic Division: Rounding numbers to 2-3 significant digits for fast option elimination.
- • Weighted Average: (n1×x1 + n2×x2) / (n1 + n2) when combining multiple demographic or production subsets.
| DI Question Type | Mathematical Formula | Speed Calculation Shortcut |
|---|---|---|
| Degree to Percentage | % = (Degree / 360) × 100 | Divide degree by 3.6 (e.g. 72° / 3.6 = 20%) |
| Percentage to Degree | Degree = % × 3.6 | Multiply percentage by 3.6 (e.g. 25% × 3.6 = 90°) |
| Percentage Growth | ((Val_current - Val_base) / Val_base) × 100 | Split numerator into % chunks of base (10%, 1%) |
| Ratio Comparison | Compare a/b with c/d | Cross multiply: if ad > bc then a/b > c/d |
| Average of Data Set | Sum of elements / Number of elements | Assume base mean and compute deviation sum |
In a pie chart representing the expenditure of a company, the angle subtended by 'Research and Development' is 54°. What percentage of the total expenditure is spent on R&D?
In a table, the production of wheat in State A was 450 tonnes in 2021 and 540 tonnes in 2022. What was the percentage increase in wheat production from 2021 to 2022?
If the total revenue of a firm is Rs. 18,00,000 and the central angle for 'Marketing Expense' in its pie chart is 72°, what is the absolute expenditure on marketing?
The population of a city in 5 consecutive years is 20, 24, 28, 32, and 36 thousand. What is the average annual increase in population?
Company sales across four quarters were Q1: 120, Q2: 150, Q3: 180, Q4: 250 units. What percentage of the annual sales was achieved in Q4?
Which of the following ratios represents the largest proportion: 17/23, 19/25, 21/29, or 15/19?
In a university with 3,600 students, the ratio of boys to girls is 5:4. If 40% of the boys and 30% of the girls are hostellers, what is the total number of hostellers?
If the central angle for Transport is 108° and for Education is 72° in an expenditure chart, what is the ratio of expenditure on Transport to Education?
In a factory, the average salary of 20 technicians is Rs. 25,000 and that of 30 non-technicians is Rs. 15,000. What is the average salary of all employees combined?
In a bar graph showing export and import of a country, Exports in 2020 were 800 Cr and Imports were 650 Cr. In 2021, Exports were 950 Cr and Imports were 850 Cr. What is the difference in trade balance (Exports - Imports) between 2020 and 2021?
If the cost of production rises by 25% while selling price remains fixed, the profit margin on selling price drops from 40% to what percentage?
A line chart shows rainfall in five months: Jun (120mm), Jul (240mm), Aug (300mm), Sep (180mm), Oct (60mm). Which month experienced the highest absolute percentage drop compared to its previous month?
In a company with 5 departments (HR, IT, Sales, Ops, Legal), the employee ratio is 2 : 5 : 4 : 6 : 1. If the IT department has 150 employees, how many total employees work in the company?
The production of cars in plant A in 2021 is 18,000 and in 2022 is 22,500. What is the ratio of production in 2021 to 2022 in simplest form?
A student scored 68, 74, 82, and 76 in four papers. What score must he obtain in the 5th paper to achieve an overall average of 75 marks?
Frequently Asked Questions (Data Interpretation Di)
Q: How do you quickly convert pie chart degrees to percentages in exam conditions?
Since a full circle is 360° and represents 100%, each 1% equals exactly 3.6°. To convert degrees to percentages, simply divide the degree value by 3.6 (or multiply degrees by 5/18). Conversely, to find degrees from a percentage, multiply by 3.6.
Q: What is the fastest way to compare two large fractions in Tabular DI?
Use cross-multiplication: to determine if A/B > C/D, compare A × D against B × C. If A × D is greater, then A/B is the larger fraction. This avoids time-consuming decimal division.
Q: What common trap should candidates avoid in percentage growth questions?
Always verify the denominator base. 'Growth from 2020 to 2021' requires dividing by the 2020 base value, whereas 'Percentage contribution of X to total' requires dividing by the total value of that specific year.
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