Numerical Ability
Core arithmetic, equations, ratios, and statistics.
🏠 Numerical Ability — Map of Content
This category covers core arithmetic, commercial mathematics, and basic numerical data analysis necessary for the TCS NQT and interview prep.
📌 Topic Index
| Topic | Description | Study Day |
|---|---|---|
| Number System HCF LCM | HCF & LCM, divisibility rules, properties of numbers. | Day 1 |
| Percentages | Core calculations, percentage changes, increases/decreases. | Day 1 |
| Averages | Basic averages, weighted averages, and average changes. | Day 1 |
| Equations | Linear and quadratic equations, forming equations from words. | Day 1 |
| Profit and Loss | Cost price, selling price, profit/loss percentage, discount, markup. | Day 1 |
| Ratios and Proportion | Ratios, proportions, partnership calculations, scale properties. | Day 1 |
| Ages | Age-based word problems using ratio and equation approaches. | Day 1 |
| Time and Work | Efficiency, pipes and cisterns, work sharing, group tasks. | Day 2 |
| Time Speed and Distance | Relative speed, trains, boats and streams, average speed. | Day 2 |
| Allegations and Mixtures | Mixing two variants at different costs, successive replacement rules. | Day 2 |
| Statistics | Mean, median, mode, variance, and standard deviation calculations. | Day 4 |
| Data Interpretation | Interpreting pie charts, tables, bar/line graphs, percentage shares. | Day 4 |
| Geometry Area and Shapes | Formulas for 2D shapes (perimeter/area) and 3D shapes (volume/SA). | Day 4 |
🌐 Cross-References & Integrations
- Modern & Advanced Math: Advanced math sequences are located under _MOC Advanced Quantitative and Reasoning.
- Coding Connection: GCD/LCM algorithms, prime generation, and binary patterns are detailed in Greedy Number Theory and Bit Manipulation.
- Data Logic: Statistical results are evaluated for correctness in Decision Making and Data Sufficiency.
🏷️ Tag Index
#numerical-ability— General category tag#day/1,#day/2,#day/4— Scheduled study blocks#tcs-prep— Global vault tag
Syllabus Topics
Number System HCF & LCM
HCF & LCM, divisibility rules, properties of numbers.
Percentages
Core calculations, percentage changes, increases/decreases.
Averages
Basic averages, weighted averages, and average changes.
Equations
Linear and quadratic equations, forming equations from words.
Profit and Loss
CP, SP, profit/loss percentage, discount, markup.
Ratios and Proportion
Ratios, proportions, partnership calculations, scale properties.
Ages
Age-based word problems using ratio and equation approaches.
Time and Work
Efficiency, work sharing, group tasks, pipes & cisterns.
Time, Speed and Distance
Relative speed, trains, boats and streams, average speed.
Allegations and Mixtures
Mixing variants at different costs, successive replacement rules.
Statistics
Mean, median, mode, variance, and standard deviation.
Data Interpretation
Pie charts, tables, bar/line graphs, percentage shares.
Geometry Area & Shapes
Formulas for 2D and 3D shapes, perimeter, area, volume.