The complete course on Quantitative Aptitude

This course develops the essential numerical and analytical skills needed for competitive exams, campus placements, and professional assessments. It covers a wide range of topics such as arithmetic, algebra,  number systems, percentages, ratios, time and work, speed and distance, and probability.

Through structured lessons, practice exercises, and test-style questions, students learn to solve problems quickly and accurately. The course focuses on building strong fundamentals, improving calculation speed, and developing logical reasoning alongside quantitative skills.

By the end of the course, students will be able to approach quantitative problems with confidence, apply shortcut methods where appropriate, and manage time effectively during exams.

Key Features:

• Comprehensive coverage of core quantitative topics

• Step-by-step explanations with practical examples

• Tips and shortcuts to improve speed and accuracy

• Regular quizzes and mock tests for self-assessment

• Suitable for competitive exams, placements, and aptitude tests

1. Vedic Mathematics (Speed Maths Techniques)

• Multiplication with series of 9's

• Multiplication with series of 1's

• Two-digit and three-digit multiplication

• Squaring numbers

• Square roots of perfect squares

• Square roots of non-perfect squares

2. Number System

• Decimal to fraction conversion

• Factorials

• Divisibility rules

• Unit digit concepts

• Remainder theorem

• Positive and negative remainders

• Cancellation rule

• Remainders involving factorials

3. LCM & HCF

• LCM concepts

• HCF concepts

• Same remainder problems

• Different remainder problems

• Product of two numbers property

• HCF & LCM of fractions

• Largest and smallest n-digit numbers

• Real-life applications

4. Average

• Basic concepts

• Average calculations

• Weighted average

• Increase and decrease in average

• Replacement problems

• Wrong entry and error in data

• Miscellaneous questions

5. Percentage

• Percentage fundamentals

• Comparison-based problems

• Successive percentage changes

• Percentage error

• Budget-based questions

• Exam-oriented problems

• Venn diagram applications

• Direct and successive distribution

• Election-based problems

6. Profit & Loss

• Cost price and selling price

• Profit and loss calculations

• Cost of x items = Selling price of y items

• Partial selling problems

• Change in cost price and selling price

• Same selling price and different cost prices

• Profit based on number of articles

• Free articles

• False weight (Dishonest Shopkeeper)

• Discount

• Relationship between cost price, selling price and discount

7. Time & Work

• Work and efficiency concepts

• Work done together

• Partial work

• Alternate day work

• Wages

• Negative work

• Constructive and destructive work

• Chain rule

• Variable workforce problems

8. Pipes & Cisterns

• Pipe efficiency

• Filling and emptying tanks

• Partial filling problems

• Inlet and outlet pipes

• Alternate minute working

• Tank capacity problems

9. Time, Speed & Distance

• Relationship between speed, time and distance

• Speed conversions

• Average speed

• Fractional speed problems

• Early and late arrival

• Relative speed

• Constant time concept

10. Problems on Trains

• Relative speed

• Crossing stationary objects

• Crossing platforms

• Crossing moving persons

• Crossing moving trains

11. Boats & Streams

• Upstream and downstream concepts

• Finding speed and time

• Return journey problems

• Ratio-based questions

12. Races

• Basic race concepts

• Relative speed in races

• Winning margin problems

• Race-based applications

13. Ratio & Proportion

• Basic ratios

• Compound and combined ratio

• Money distribution

• Income, expenditure and savings

• Partnership

• Problems on ages

• Practice sets

14. Mixture & Alligation

• Ratio method

• Replacement method

• Addition and removal of liquids

• Combined profit and loss

• Mixing two or more solutions

• Multiple replacement problems

• Advanced practice questions

15. Simple Interest & Compound Interest

• Simple interest concepts

• Changing principal and rate

• Amount-based problems

• Different interest rates

• Doubling and tripling time

• Compound interest concepts

• Relationship between SI and CI

16. Permutation & Combination

• Fundamental principle of counting

• Permutation vs Combination

• Number arrangements

• Word arrangements

• Circular arrangements

• Rank of words

• Distribution problems

• Geometry-based combinations

• Practice questions

17. Probability

• Basic probability concepts

• Coin problems

• Dice problems

• Card problems

• Balls and marbles

18. Data Sufficiency

• Basic data sufficiency

• Advanced data sufficiency techniques

1. Vedic Mathematics (Speed Maths Techniques)

• Fast multiplication (by 9’s, by 11, base method)

• Squaring  shortcuts

• Rapid division and finding remainders

• Cross-checking answers with digital roots

1. Number System

• Properties of numbers (even, odd, prime, composite)

• Divisibility rules

• Factors and multiples

• LCM and HCF

• Remainders, unit digit, last digit

• Cyclicity and digital sum

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3. Simplification & Approximation

• BODMAS operations

• Square roots and cube roots

• Simplifying fractions and decimals

• Approximating quickly for large numbers

4. Ratio, Proportion & Partnership

• Direct and inverse proportion

• Mixing problems

• Partnership and profit sharing

5. Percentages

• Basic percentage calculations

• Increase/decrease

• Comparing quantities using percentages

6. Profit, Loss & Discount

• Marked price, cost price, selling price

• Successive discounts and gains

• False weights problems

7. Simple Interest & Compound Interest

• Interest over different time periods

• Difference between CI and SI

• Annual, half-yearly, and quarterly compounding

8. Time, Speed & Distance

• Relative speed

• Trains, boats, and streams

• Average speed problems

9. Time & Work

• Work efficiency and ratios

• Pipes and cisterns

• Wages and sharing of work

10. Average

• Weighted averages

• Successive averages

11. Mixture & Alligation

• Mixing liquids or solids

• Profit & loss in mixtures

12. Algebra

• Linear equations

• Quadratic equations

• Simplifying expressions

13. Geometry & Mensuration

• Lines, angles, and triangles

• Circles and polygons

• Areas, volumes, and surface areas

14. Permutations, Combinations & Probability

• Counting principles

• Arrangements and selections

• Basic probability problems

15. Data Interpretation

• Tables, bar graphs, line graphs

• Pie charts

• Data comparison and analysis

16. Data Sufficiency

• Deciding if given data is enough to answer a question

17. Sequences & Series

• Arithmetic progression (AP)

• Geometric progression (GP)

• Special number patterns

18. Statistics

• Mean, median, mode

• Standard deviation (basic level)

19. Clocks & Calendars

• Finding angles between hands of a clock

• Time gained or lost by a clock

• Odd days and day-of-week problems

20. Miscellaneous / Higher Level

• Inequalities

• Logarithms

• Surds and indices

• Simplified equations involving multiple concepts