# Arithmetic (अंकगणित) Foundation Maths Classnotes
> Bilingual arithmetic foundation notes by Mohit Goyal Sir for SSC, Railway, Banking and State exams.

## Details

- **Author:** Mohit Goyal Sir
- **Publisher:** MG Concepts Publication
- **Language:** Bilingual
- **Edition:** First Edition
- **Year:** 2025
- **Pages:** 440
- **ISBN:** 9789359169132
- **File Size:** 93.3 MB
- **Difficulty:** beginner
- **Price:** Free
- **URL:** https://www.allcompetitionclasses.com/books/arithmetic-foundation-maths-classnotes-mohit-goyal

## Exam Relevance
- SSC CGL
- SSC CHSL
- SSC CPO
- SSC MTS
- SSC GD
- CAPF
- CISF
- CRPF
- CDS
- ICAR
- RRB NTPC
- RRB Group D
- RPF
- UP Police SI
- UP Police Constable
- Delhi Police
- DSSSB
- Banking Exams
- CTET
- State Government Exams

## Subjects & Topics
- Number System
- LCM and HCF
- Percentage
- Ratio and Proportion
- Average
- Profit and Loss
- Discount
- Simple Interest
- Compound Interest
- Time and Work
- Pipes and Cisterns
- Time Speed and Distance
- Boats and Streams
- Problems on Ages
- Partnership
- Mixture and Alligation
- Quantitative Aptitude
- Arithmetic
- Foundation Mathematics
- Competitive Exam Preparation
- Maths Classnotes

## Tags
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## Full Description
Arithmetic (अंकगणित) Foundation Maths Classnotes by Mohit Goyal Sir is a foundation-focused quantitative aptitude book designed for students preparing for SSC, Railway, Banking, Defence, Police, Teaching and other competitive examinations. The book is bilingual, covering the core arithmetic concepts in Hindi and English, and focuses on building the basic understanding required before moving to higher-level exam questions. The first edition was published by MG Concepts Publication in 2025, with listings giving 440 pages and ISBN 9789359169132. 

Arithmetic is one of those subjects where a weak foundation can make every later chapter feel unnecessarily difficult. This book is designed around that problem. Instead of simply collecting a large number of repeated questions, the material focuses on variety of question types, concept clarity, shortcuts and exam-oriented practice. The available description specifically highlights coverage of different levels of questions and a focus on variety rather than merely increasing question quantity. 

The book begins with the basic arithmetic concepts needed for competitive mathematics. Number System is an important starting point because divisibility, factors, multiples, remainders, LCM, HCF and related concepts appear directly or indirectly in many later chapters. A student who understands these fundamentals can approach percentage, ratio, average and other arithmetic topics with much greater confidence.

LCM and HCF are among the basic building blocks of arithmetic. Questions can involve finding common multiples, common factors, relationships between numbers and practical applications. The focus should be on understanding the underlying method rather than memorising one particular shortcut. Once the basic approach is clear, different question varieties become easier to recognise.

Percentage is another central chapter. It is used directly in percentage questions and indirectly in Profit and Loss, Discount, Simple and Compound Interest, Population, Data Interpretation and many word problems. The book's foundation approach can help students understand percentage conversion, increase and decrease, successive changes and comparison-based questions before moving towards more complicated applications.

Profit, Loss and Discount form an important part of arithmetic preparation for SSC, Railway and Banking examinations. Students need to understand Cost Price, Selling Price, Marked Price, profit percentage, loss percentage and discount. Different question formats can involve successive discounts, marked price and profit relationships. Practising a variety of models is particularly useful because competitive exams often change the wording while testing the same underlying concept.

Ratio and Proportion are equally important because they connect several arithmetic chapters. Questions may involve direct ratios, inverse relationships, division of quantities, partnership and mixtures. Understanding how quantities change in relation to one another is more useful than simply memorising formulas. A strong ratio foundation also makes many word problems much easier to set up.

Average is another high-frequency arithmetic topic. Basic average questions can be followed by problems involving replacement, addition or removal of values, combined averages and weighted situations. The key is to understand the relationship between total quantity and number of observations. Once this concept is clear, many apparently different average questions can be reduced to a common method.

Simple Interest and Compound Interest are important chapters for competitive examinations. The foundation approach involves understanding Principal, Rate, Time and Interest and then moving towards different application-based question types. Compound Interest introduces the effect of interest being added to the principal, while comparison between Simple and Compound Interest creates another common question model.

Time and Work is a major arithmetic chapter in which students often struggle because the language of the question can hide a relatively simple mathematical relationship. The central ideas include work efficiency, work rate, combined work, individual work and time taken. Once efficiency is represented correctly, questions involving two or more people working together become much more manageable.

Pipes and Cisterns can be understood using the same basic work-rate framework. Filling pipes contribute work while emptying pipes reduce it. Understanding the rate concept allows students to solve different combinations without relying on one fixed question pattern. This is an example of why a foundation-oriented approach is useful for arithmetic preparation.

Time, Speed and Distance is another major topic covered in competitive mathematics. The relationship between distance, speed and time forms the basic framework, after which students encounter trains, relative speed, boats and streams and different types of motion-based problems. Strong calculation skills and careful unit conversion are important here because many mistakes come from calculation rather than concept.

Problems involving trains require students to interpret the distance travelled correctly depending on whether a train crosses a pole, person, platform or another train. Relative speed is particularly important when two objects move towards or away from one another. Boats and streams introduce the distinction between upstream and downstream speeds. These different varieties can be practised once the basic speed-distance-time relationship is clear.

Mixture and Alligation questions test the relationship between quantities with different prices, concentrations or values. The basic concept can initially look unfamiliar, but once the ratio relationship is understood, many questions become systematic. Such topics are useful for students preparing for exams where arithmetic forms a significant portion of the Quantitative Aptitude section.

Partnership problems apply ratio concepts to investment and time. The profit-sharing relationship depends not only on how much money each partner invests but also on how long that investment remains in the business. Understanding this relationship makes partnership questions much easier to structure and reduces dependence on memorised shortcuts.

Problems on Ages are another common arithmetic variety. These questions generally involve present ages, past or future ages and relationships between the ages of two or more people. The most important skill is translating the wording into equations or ratios correctly. Once that translation becomes automatic, age problems are usually much less intimidating.

The book also supports the development of calculation speed through shortcuts and smart tricks. These methods can be useful after the underlying concept is understood. For a beginner, the better sequence is concept first, basic questions second, shortcut third and timed practice last. Using a shortcut without understanding why it works can create problems when the examination changes the standard question format.

A major feature highlighted for the book is the variety of questions. Competitive-exam mathematics often contains multiple models within the same chapter, and simply solving a few standard examples may not expose a student to all of them. The material is designed to include different levels and varieties so that students can practise recognising the structure of a question before selecting a method. 

The book is particularly suitable for SSC CGL and CHSL aspirants who want to strengthen arithmetic before moving towards intensive PYQ practice. It can also support preparation for SSC CPO, MTS and GD, where quantitative questions require strong fundamentals and reasonably fast calculations. The cover specifically mentions SSC CGL/CHSL, CPO, MTS and GD among its target examinations.

For Railway aspirants, the book can be used for RRB NTPC, Group D and RPF-related quantitative preparation. Arithmetic chapters such as percentage, ratio, average, profit and loss, time and work and time, speed and distance are useful across several Railway examination patterns. The cover specifically lists Railway NTPC, Group D and RPF among the intended exams.

Banking aspirants can use the arithmetic foundation for quantitative aptitude preparation, although Banking exams may require additional chapters, advanced calculation practice and data interpretation depending on the examination. The book can therefore serve as a foundation resource rather than the only mathematics source for every Banking exam.

The material is also relevant to Police and government recruitment examinations such as UP-SI/Constable, Delhi Police and DSSSB. The cover explicitly lists these examinations along with CAPF, CISF, CRPF, CDS, ICAR, CTET and State-level exams. This broad exam coverage makes the book useful for students preparing for more than one recruitment examination at the same time.

For a beginner, the recommended approach is not to rush through every chapter. Start with Number System and basic calculations, then move to LCM-HCF, Percentage, Ratio-Proportion and Average. After that, study Profit-Loss-Discount, Simple and Compound Interest, Partnership, Mixture-Alligation, Time and Work and finally Time-Speed-Distance and its related varieties. The exact chapter order can be adjusted according to the student's exam syllabus.

After completing each concept, students should solve the examples without looking at the solution. Then attempt additional questions of the same type and finally practise mixed questions. Maintaining an error notebook is especially useful in arithmetic because the same mistakes—wrong percentage base, incorrect unit conversion, calculation error or misreading of the question—often repeat until they are consciously corrected.

The bilingual format is another practical feature. Students who understand mathematical terminology more comfortably in Hindi can use the Hindi explanations while becoming familiar with English terminology used in examination papers. This is especially useful for competitive exams where the question may be presented bilingually and students need to recognise terms such as percentage, ratio, average, profit, loss, work, speed and interest quickly.

The book should ideally be followed by previous-year-question practice. Foundation notes can teach the concept and expose the student to varieties, but PYQs show how a particular examination actually frames its questions. After completing a chapter from this book, solving SSC, Railway or the relevant exam's PYQs will help identify which question models are repeatedly tested and where additional speed practice is needed.

Overall, Arithmetic (अंकगणित) Foundation Maths Classnotes is a beginner-friendly foundation resource for competitive-exam arithmetic. Its focus on concepts, question variety, shortcuts, smart methods and bilingual presentation makes it suitable for students who want to strengthen basic mathematics before moving into intensive exam-level practice. With topics ranging from Number System, Percentage, Ratio and Average to Profit-Loss, Interest, Time and Work, Time-Speed-Distance and other arithmetic applications, it can serve as a structured starting point for SSC, Railway, Banking, Police, Defence, Teaching and State-level competitive examinations.

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