A comprehensive, production-grade study resource and practice suite covering Quantitative Aptitude, Logical Reasoning, Data Interpretation, and Verbal Ability. This repository is designed as a self-paced learning portal containing core concepts, math/grammar formulas, practice problems, and step-by-step solutions for competitive exams (CAT, GRE, GMAT, placements, banking, and civil services).
Tip
🧠 Looking for speed-math shortcuts? Access the 100 Aptitude Tricks & Shortcuts PDF directly on Google Drive to accelerate your preparation with quick formulas and high-yield methods!
- 4 Core Modules: Fully structured sections covering the entire aptitude syllabus.
- 34 Comprehensive Topics: Discrete chapters targeting specific concepts and rules.
- 340 Solved Problems: Exactly 10 practice problems per topic, carefully graded by difficulty.
- 340 Step-by-Step Solutions: Walkthroughs of the solution logic and shortcut formulas for every single question.
- LaTeX Math Engine: Clean, readable mathematical equations formatted in native LaTeX.
The study materials are organized into four core subjects. Each topic contains structured study notes, cheat sheets, and practice questions.
| Module | Topics Included | Quick Links |
|---|---|---|
| Quantitative Aptitude | Core Arithmetic, Algebra, Geometry, and Modern Math | 📈 Go to Quant |
| Logical Reasoning | Analytical & Non-Verbal Reasoning, Sequences, Puzzles | 🧠 Go to Reasoning |
| Data Interpretation | Graphical Analysis, Tables, and Data Analysis | 📊 Go to DI |
| Verbal Ability | English Grammar, Reading Comprehension, Vocabulary | ✍️ Go to Verbal |
This module covers mathematical concepts, derivations, speed-math shortcuts, and problem-solving techniques.
| Topic | Description | Solved Questions | Link |
|---|---|---|---|
| Number System | Number classifications, cyclicity, remainders, and factors. | 10 | View Note |
| HCF & LCM | Divisibility rules, highest common factors, and lowest common multiples. | 10 | View Note |
| Simplification | BODMAS rule, algebraic identities, surds, and indices. | 10 | View Note |
| Averages & Mixtures | Arithmetic mean, weighted averages, alligation rules. | 10 | View Note |
| Percentages | Fractional equivalents, percentage increase/decrease, successive changes. | 10 | View Note |
| Ratio & Proportion | Ratios, direct/inverse proportions, partnerships. | 10 | View Note |
| Profit, Loss & Discount | Cost, selling, and marked prices, successive discounts, dishonest dealer cases. | 10 | View Note |
| Simple & Compound Interest | Simple interest, compounding periods, CI/SI difference formulas. | 10 | View Note |
| Time & Work | Work equivalence, efficiency, pipes and cisterns. | 10 | View Note |
| Speed, Time & Distance | Relative speed, average speed, trains, boats, and streams. | 10 | View Note |
| Problems on Ages | Algebraic equations involving past, present, and future ages. | 10 | View Note |
| Progressions | Arithmetic (AP), Geometric (GP), and Harmonic (HP) progressions. | 10 | View Note |
| Permutations & Combinations | Fundamental counting principles, arrangements, and selections. | 10 | View Note |
| Probability | Basic outcomes, conditional probability, independent events, and cards/dice/coins. | 10 | View Note |
| Mensuration | 2D and 3D area, perimeter, volume, and surface area formulas. | 10 | View Note |
This module strengthens analytical skills, critical thinking, deduction, and pattern recognition.
| Topic | Description | Solved Questions | Link |
|---|---|---|---|
| Blood Relations | Family tree puzzles, coded relationships, and symbols. | 10 | View Note |
| Direction Sense | Cardinal directions, angle turns, and shortest distance (Pythagoras theorem). | 10 | View Note |
| Coding & Decoding | Letter-to-letter, letter-to-number, and substitution coding. | 10 | View Note |
| Order & Ranking | Position determination, rank comparison, and queue ordering. | 10 | View Note |
| Seating Arrangement | Linear, circular, and polygonal arrangement layouts. | 10 | View Note |
| Puzzles & Scheduling | Multi-variable puzzles, floor-based, and day/month scheduling. | 10 | View Note |
| Syllogism | Venn diagram analysis, statements, and logical deductions. | 10 | View Note |
| Input & Output | Step-by-step alphanumeric sequence sorting and rearrangement patterns. | 10 | View Note |
| Clocks & Calendars | Clock hands angular distance, clock gains/losses, leap years, odd days, and calendar references. | 10 | View Note |
This module tests quantitative reasoning and analysis using data represented in various formats.
| Topic | Description | Solved Questions | Link |
|---|---|---|---|
| Tables & Caselets | Tabular raw data and descriptive passage-based numerical data. | 10 | View Note |
| Bar & Line Graphs | Single/multiple bar charts and line-based trend graphs. | 10 | View Note |
| Pie Charts | Degree and percentage-based distribution charts. | 10 | View Note |
| Data Sufficiency | Assessing if the given statements are sufficient to answer a problem. | 10 | View Note |
This module covers English language proficiency, grammar correctness, comprehension, and vocabulary.
| Topic | Description | Solved Questions | Link |
|---|---|---|---|
| Grammar & Error Spotting | Subject-verb agreement, tenses, article usage, and prepositions. | 10 | View Note |
| Sentence Completion | Fill in the blanks with appropriate words or phrases. | 10 | View Note |
| Para Jumbles | Unscrambling sentences to form coherent paragraphs. | 10 | View Note |
| Reading Comprehension | Passage reading, central theme identification, tone, and inference questions. | 10 | View Note |
| Idioms & Phrases | Meanings and usage of common figurative expressions. | 10 | View Note |
| Vocabulary | Synonym, antonym, and contextual word meanings. | 10 | View Note |
Every study guide in this repository is designed with a consistent, learner-friendly structure:
graph TD
A[Study Guide Markdown] --> B[1. Concept Definitions & Explanations]
A --> C[2. Key Formulas, Shortcuts & Core Rules]
A --> D[3. Practice Problems]
A --> E[4. Step-by-Step Solutions]
- Concept Definitions & Explanations: Fundamental, clear breakdowns of core terminology and behaviors.
-
Key Formulas / Shortcuts / Core Rules: High-yield formulas formatted in standard LaTeX (
$LaTeX$ ) alongside quick-computation tricks or grammar guidelines. - Practice Problems: Standard examination-style questions of varying difficulty levels. (Upgraded to 10 questions per file).
- Step-by-Step Solutions: Explanatory walkthroughs of the solution logic, demonstrating how rules and formulas are applied.
- Review Concepts & Formulas First: Start with the first two sections of each module file to solidify your foundations. Keep formula files open for quick reference.
- Attempt Practice Problems Independently: Try to solve the questions in the Practice Problems section without looking at the solutions.
- Analyze Step-by-Step Explanations: Verify your answers and methodology against the Step-by-Step Solutions to learn alternative or faster approaches.
- Offline Friendly: These notes are written in Markdown and use standard LaTeX mathematical syntax, making them readable directly in standard code editors (VS Code, Obsidian, etc.) or when converted to PDF.