Quantitative Aptitude Learning & Assessment Portal 🎯📊

A high-performance, standalone, responsive web application portal tailored for Quantitative Aptitude Training, Campus Placement Preparation (CRT), and Competitive Examinations (CAT, GATE, GMAT, GRE, Banking PO/Clerk, SSC CGL, and UPSC CSAT).

Zero dependencies, zero build tools, and fully client-side. Simply open index.html in any modern web browser or deploy directly with GitHub Pages.

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🎯 Target Examinations & Use Cases

• Campus Placement Drives (CRT): TCS NQT, Infosys, Cognizant, Wipro, Accenture, Capgemini, and Core Engineering aptitude screenings.
• Management & Graduate Entrances: CAT, XAT, NMAT, SNAP, CMAT, GRE, GMAT.
• Government & Banking Examinations: IBPS PO/Clerk, SBI PO, RBI Grade B, SSC CGL/CHSL, Railways RRB, UPSC CSAT.
• Technical Competitive Exams: GATE General Aptitude section.

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🚀 Portal Architecture (index.html)

The main dashboard organizes quantitative prep into structured modules:

                       [ index.html ] (Portal Hub)
                             │
        ┌────────────────────┼────────────────────┐
        ▼                    ▼                    ▼
📚 Learning Materials    📝 Practice          🎯 Tests & Drills
  ├── Number System        └── HCF/LCM Tools    ├── Number System Mock (50 Qs)
  ├── Prime Factorisation       (2 & 3 Numbers) ├── HCF & LCM Mock (50 Qs)
  ├── HCF & LCM Shortcuts                       ├── Factors Speed Drill (50 Qs)
  ├── Factors Theory                            ├── Profit, Loss, SI & CI (50 Qs)
  └── Aptitude Workbook (7 Topics)              ├── Quant Sprint Mock (50 Qs)
                                                └── Foundations Challenge (50 Qs)

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1. 📚 Learning Materials (Aptitude Concept Guides & Cheat Sheets)

Modal-accessible reference guides and interactive workbooks loaded with speed-math shortcuts and exam formulas:

• 🔢 Number System: Real number classifications ($\mathbb{N}, \mathbb{W}, \mathbb{Z}, \mathbb{Q}$, irrationals), pure vs mixed recurring decimal to fraction shortcuts ($0.\bar{a} = a/9$), unit digit cyclicity, and fast divisibility tests ($2, 3, 4, 5, 8, 9, 10, 11$).
• 🔢 Prime Factorisation: Canonical prime power representation $N = p_1^{a_1} p_2^{a_2} \dots p_k^{a_k}$, properties of coprime pairs ($\text{HCF}=1$), counting trailing zeroes via $\min(\text{powers of } 2, \text{powers of } 5)$, and prime form $6k \pm 1$.
• ➗ HCF & LCM: Fast prime power rules (lowest powers for HCF, highest powers for LCM), the two-number product identity $A \times B = \text{HCF} \times \text{LCM}$, HCF/LCM of fractions, and classic aptitude problem models (circular track meetings, simultaneous bell ringings, rectangular tile optimization).
• 🧮 Factors & Multiples: The total number of factors formula $T(N) = (a+1)(b+1)(c+1)$, even vs odd factor splits, factor pairs, and the perfect square odd-factors theorem.
• 📖 Aptitude Workbook — Basics Made Simple (aptitude-basics-2.html): Full-featured foundational workbook featuring a sticky topic navigation rail, pictorial SVG visual aids, step-by-step worked examples, and mental math shortcuts across 7 core aptitude topics:
  1. LCM & HCF: Prime power method, fractional HCF/LCM, simultaneous bell ringing & circular track models.
  2. Time & Work: Unitary vs efficiency/LCM methods, multi-person teamwork, pipes & cisterns.
  3. Time, Speed & Distance: Speed unit conversions ($5/18$), average speed formula $\frac{2xy}{x+y}$, relative speeds, trains and platforms.
  4. Profit & Loss: Cost vs selling price, profit/loss percentages, successive discounts, marked price markup shortcuts.
  5. Percentage: Fraction-to-percentage benchmarks ($1/8 = 12.5%$), percentage increase/decrease, multiplier shortcuts.
  6. Simple & Compound Interest: $I = \frac{PTR}{100}$, annual vs semi-annual compounding, 2-year difference formula $P(R/100)^2$.
  7. Logical Reasoning: Blood relations, directional navigation grids, coding-decoding alphabet shift methods.

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2. 📝 Practice (Interactive Visual Explorers)

• 2-Number HCF & LCM Explorer (hcf_lcm_2_number_interactive.html): Interactive prime-factor visualizer for two numbers. Sliders ($1–200$) illustrate shared vs unique prime factor allocations, Venn clusters, and live step-by-step arithmetic.
• 3-Number HCF & LCM Explorer (hcf_lcm_3_number_interactive.html): Visualizer for three numbers ($A, B, C$) demonstrating pairwise overlaps, 3-way shared factors, and greatest common divisor / least common multiple calculations.

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3. 🎯 Tests (Timed Sectional Mocks & Drills)

• Number System Sectional Test (Number_System_Practice-2.html):
  • Duration: 20 Minutes • Questions: 50 MCQs.
  • Syllabus: Number categories, divisibility rules, even/odd parity, prime properties, and fraction forms.
  • Features: Live timer, real-time feedback, and automated performance categorization (Correct / Wrong / Unreached).
• Prime Factorisation, HCF & LCM Quiz (Prime_Factorisation_HCF_LCM_50_Question_Quiz.html):
  • Duration: 20 Minutes • Questions: 50 MCQs.
  • Syllabus: Prime identification, factor tree end-nodes, prime factorization, HCF/LCM calculations, and real-world aptitude word problems.
  • Features: Randomized questions and answer options, question navigation, comprehensive scorecard with explanation review, and print-ready results.
• Factors Speed Practice (factors-practice.html):
  • Duration: Self-paced / timed drill • Questions: 50 dynamic questions.
  • Syllabus: Prime factorisation, LCM, and HCF across 5 progressive difficulty tiers.
  • Features: Immediate answer validation, step-by-step solutions, and detailed error review log.
• Maths Practice Test: Profit & Loss, SI & CI (maths_practice_test.html):
  • Duration: 20 Minutes • Questions: 50 MCQs (1 mark each, no negative marking).
  • Syllabus: Profit & Loss (cost price, selling price, discounts, marked price), Simple Interest ($I = \frac{PTR}{100}$), and Compound Interest (annual/semi-annual compounding, difference between CI and SI).
  • Features: Sticky top HUD with live countdown clock and answered counter, immediate step-by-step explanations, comprehensive scorecard with percentage and topic breakdown bars, targeted weakness diagnostic, and print-ready layout.
• Quant Sprint Mock (quant_quiz.html):
  • Duration: 20 Minutes • Questions: 50 MCQs.
  • Syllabus: Time & Work (rates, efficiency), Time, Speed & Distance (relative speed, trains), and Percentages.
  • Features: Live timer, immediate explanation on incorrect choices, and topic-wise performance breakdown.
• Aptitude Foundations Challenge (aptitude_50_questions_20min.html):
  • Duration: 20 Minutes • Questions: 50 MCQs.
  • Syllabus: Foundational arithmetic (worker-days, pipes & cisterns, speeds, percentages).
  • Features: Prev/Next question navigation, instant worked solutions, and final review list.

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📁 Repository Structure

test-paper/
├── .agents/
│   └── rules/
│       ├── architecture.md                           # AI Rule: Consult & maintain docs/ARCHITECTURE.md
│       └── conventions.md                            # AI Rule: Portal branding & zero-build constraints
├── docs/
│   └── ARCHITECTURE.md                               # Architecture, File Layout & Decision Records (ADRs)
├── .gitignore                                        # Git Ignore rules (OS artifacts, IDEs, logs, temp caches)
├── index.html                                        # Aptitude Portal Dashboard (Homepage)
├── aptitude-basics-2.html                            # 7-Topic Visual Aptitude Workbook with SVG Diagrams
├── aptitude_50_questions_20min.html                  # 50-Question Aptitude Foundations Challenge
├── factors-practice.html                             # 5-Tier Generated Factors & Primes Speed Drill
├── hcf_lcm_2_number_interactive.html                 # 2-Number Prime Factor & LCM Interactive Tool
├── hcf_lcm_3_number_interactive.html                 # 3-Number Prime Factor & LCM Interactive Tool
├── maths_practice_test.html                          # 50-Question Profit & Loss, SI & CI Timed Test
├── Number_System_Practice-2.html                     # 50-Question Number System Sectional Mock
├── Prime_Factorisation_HCF_LCM_50_Question_Quiz.html # 50-Question HCF & LCM Sectional Mock
├── quant_quiz.html                                   # 50-Question Quant Sprint (Work, Speed, %)
└── README.md                                         # Project Documentation

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🛠️ How to Run & Deploy

1. Direct Browser Access (Simplest)

Double-click index.html or open it in any modern browser (Chrome, Firefox, Edge, Safari). No installation or network connection required.

2. Local HTTP Server (Optional)

# Python 3:
python -m http.server 8000

# Node.js:
npx serve .

Access via http://localhost:8000.

3. GitHub Pages Deployment

1. Navigate to Settings → Pages in the repository.
2. Select Deploy from a branch under Build and deployment.
3. Choose branch main and root folder /.
4. The aptitude portal will deploy to https://<username>.github.io/<repo-name>/.

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🏷️ Tags & Topic Keywords

#quantitative-aptitude #campus-placements #cat-quant #gate-aptitude #banking-po #ssc-cgl #number-systems #prime-factorisation #hcf-lcm #speed-math #timed-mocks