WHAT THE MEDIA IS SAYING ABOUT DHAVAL BATHIA ‘For a 19 year old Dhaval Bathia packs in quite a cerebral punch. A unique blend of talent, insight, hard work and sheer determination. A ROCKER’ — Education Times, The Times of India A WHIZ KID. Dhaval Bathia needs just a split second to recall details of 100 year old calendars, hundreds of phone numbers and to solve complex arithmetical problems. — Bombay Times, The Times of India A unique achiever. We wish him all the best for his future projects. — Lohana Shakti Dhaval Bathia is simply JHAKAAS. His workshops are commendable. — Maharashtra Times By using simple word formulae; he manages to solve complex arithmetical calculations within seconds. — Janmabhoomi A young achiever. His seminars receive a tremendous response even from the CORPORATE WORLD. — Education World 20-year-old Dhaval Bathia is the king of Vedic mathematics — Samakaleen White-lightning success in Vedic Mathematics — Sakal ‘A college student who is a Mathematics faculty!’…..he has coached many MBA students too…. — Yuvasakal ‘He can recollect all facts of any subject by reading them just once!’ ‘The manner in which the student community has purchased his book ‘How To Top Exams and Enjoy Studies’ might well assure him a career in counseling.’ — Navbharat Times After attending his seminars, students have found a sharp increase in their confidence level and their performance in exams has also improved — Abhiyaan Dhaval Bathia’s seminar was definitely a high point. He tantalized the crowd with his mathematical prowess. — JAM Magazines Our country not only produces great talent but also nurtures it so that it reaches its fullest potential which enables it to reach the sky. Since times immemorial India has not only given great intellectuals, sportspersons, revolutionaries, socialists but also great artists, painters, scientists to the countrymen and society in general. Adding another name to this great stardom is such an amazing talent born in the Bathia family of Maharashtra. Shri Dhaval Bathia has researched on some unique and exciting techniques of Vedic Mathematics. — Jazbaat Magazine This youngster has mastered Mathematics the Vedic way. — The Indian Express He solves problems on addition, subtraction, multiplication, division, roots and any other such problems instantly. — Gujarat Samachar The book ‘How To Top Exams and Enjoy Studies’ is written in easy language and any student can follow it effortlessly. It tells you how to make studies enjoyable and at the same time focus on your goals and objectives. A Young Achiever. His clientele includes leading companies like BSES, Ramratan Group of companies, Welspun, Challenge Finance etc. — Shoprite The scientific systems in the book (How to Top Exams and Enjoy Studies) create a paradigm shift from hard work to smart work. The whole emphasis is laid on the fact that education is a process to be enjoyed and cherished. — Afternoon ‘He is an inspiration to the youth’ — FM Gold ‘Dhaval Bathia is a revolution...’ — S TV Vedic Mathematics Made Easy Published by Dhaval Bathia Copyright by Dhaval Bathia Dedicated to Jay CONTENTS Preface Acknowledgments About the Author Vedic Mathematics: An Introduction Maths is interesting! BASIC LEVEL 1. Miscellaneous Simple Method 2. Criss – Cross System of Multiplication 3. Squaring Numbers 4. Cube Roots of Perfect Cubes 5. Square Roots of Perfect Squares INTERMEDIATE LEVEL 6. Base Method for Multiplication 7. Base Method for Squaring 8. Digit-Sum Method 9. Magic Squares 10. Dates & Calendars 11. General Equations 12. Simultaneous Linear Equations ADVANCE LEVEL 13. Square Roots of Imperfect Squares 14. Cubing Numbers 15. Base Method of Division 16. Division (Part Two) Afterword Appendices Appendix A : Multiplication of five digit numbers Appendix B : Multiplication of Algebraic Identities Appendix C : Zeller’s Rule (To find the day on any date) Appendix D : Pythagorean Values Appendix E : Divisibility Tests Appendix F : Raising to fourth and higher powers Appendix G : Co-ordinate Geometry Answers Frequently Asked Questions (FAQ’s) Bibliography PREFACE Since a very young age, I had a passion for learning mindpower sciences. In my high school years I used to read books on NLP, SILVA, Psycho-cybernetics, Mind-mapping, quick calculations, etc. Most of my time was spent reading books and the remaining time was spent impressing friends with my mental abilities. I used to do (so-called) strange things like multiplying three-digit numbers in my mind, memorizing a pack of well shuffled cards, predicting the days on which dates in the century would fall and so on. These activities were more as a source of entertainment to me than anything else. In my wildest dreams I had never imagined that one day I would become a faculty on these subjects. People often ask me how I as a college student landed up in this world of Vedic mathematics and training people in memory improvement and study skills. Well, honestly speaking, I am not sure myself exactly when I started these activities — because there was no specific starting point but rather a process that evolved. When I finished my tenth standard exams, I had a long vacation before college would begin. With the desire that I do something productive in my days of leisure, my father brought some books for me on quick calculations. He knew that I was very good at mental mathematics and so probably he thought that I needed to polish my abilities and some good books would help. I read the books with keen interest and understood the systems. But as time passed by, I completely forgot about it. About a year later, one of our family friends who is the Principal of a school came to my place. She asked me whether I would do a seminar for her standard ten students on quick calculation and especially Vedic Mathematics. Obviously, my first reaction was a straight ‘No’ because I was anxious about addressing an audience. Not that I suffered from stage-fear or anything like that, but the thought of formally teaching a whole group of similarly aged students was not instantly acceptable. The lady did not try to convince me any further but only said to me, “Think again, you are losing an opportunity.” The next day I called her up with an affirmative answer. The seminar was arranged after three days. When I entered the auditorium, I was filled with some skepticism and pessimism as among my audience were students who played cricket with me on weekends and now I had to teach them a subject which they hated with all their heart! But, as it is often said, you never know what destiny has in store for you…. I vividly remember the two hours of that introductory lecture. As I unfolded the techniques to the audience, I could actually see that they were bedazzled with its workings. As the lecture progressed, the excitement and enthusiasm increased amongst the crowd and even their mathematics professors joined them. They became deeply engrossed in the lecture and never realized when the two hours had passed by. I received some wonderful feedback from the students. They seemed to be all charged up. And believe it or not, one girl actually came and told me that she lost all her fear for mathematics after attending my lecture. The professors asked me to come once again. All in all, it was indeed the most memorable experience of my life. That same night, when I came home I became absolutely thoughtless for a moment. Then I pondered over the day’s events and realized that it was not me who deserved the credit for the wonderful feedback that the students gave but it was the system, it was Vedic Mathematics! From the very next day, I became sort-of famous in my community with the word spreading around that a very young boy is teaching “magic” in mathematics. Since then, phone calls started coming from parents, teachers and other schools. I was so overwhelmed with this wonderful response that I was suddenly filled with a tremendous sense of gratitude towards Vedic mathematics. I thought, since this science has given me such a lot of happiness and a feeling of self-fulfillment, it is only fair that I engage in the cause of making it popular and easily accessible to the general public. And since then, there has been no looking back…. Four years have passed since I gave my first seminar and till date I have conducted hundreds of sessions interacting with thousands of people from all parts of the country. Many leading schools and colleges have implemented the systems that I teach. The management of these institutions has reported that students have shown praiseworthy improvement in their exam performance after learning these systems. As time passed by, I started giving special training to people on topics like ‘how to improve your memory’ where I taught how to remember dates in history, geographical maps, chemical equations, long numbers, faces of people, etc.; then there were seminars on study skills, where topics like using the subconscious mind for study, frequent revision techniques, and the art of writing answers in exams were discussed. Since most of the content of my seminars was oral, I often received complaints from people that they failed to retain the techniques in the long run. I was urged to publish my systems in a written format so that it could be used as a reference work whenever required. They urged me to write a book on the techniques that I teach. Thus, out of popular demand I published my first book at the age of 19 entitled How To Top Exams & Enjoy Studies. Many readers of my first book wrote to me that they liked the introductory techniques of Vedic Mathematics in my book but they wanted to learn the systems in detail. They insisted that I deal with the subject in a comprehensive manner. Initially, I was a bit skeptical about writing another book when I had just published my first. Being a college student, there was a lot of commitment involved in my mainstream studies, extra-curricular activities and pursuing my professional degrees. Thus, I had to wait for a while before I commenced writing the typescript of this book. My very first concern when I started writing this book on Vedic mathematics was how should I deal with the subject. There were tons of books already present in the market and the Internet was also filled with innumerable research articles on Vedic mathematics. When such a lot of information was already available, I had to start searching for a strong reason to write another book. Not that I had to prove myself to someone or something like that, but a strong purpose would help me give a focus to the contents of the book. I would be able to write the book in such a way that it had a certain appeal and meaning to the reader. I was not interested in writing another book on the same subject, but was keen on giving a strong identity to my book. Upon discussion with other colleagues who teach Vedic Mathematics and on the basis of feedback received from the participants of my seminars, I made the following realizations: • Most of the students who wanted to learn Vedic Mathematics were students appearing for competitive exams like MBA-CAT, CET, GMAT, UPSC, etc. and they wanted to learn Vedic Mathematics so that it would help them crack these exams. They wanted to learn techniques which would help them solve mathematical problems in the least time possible. • Secondly, many schools had started implementing the methods of Vedic Mathematics in classroom lectures. They needed a book that would make the entire subject so simple that even an average student would be able to understand it. The schools wanted a book which would guide beginners and help them understand the subject right from the basics.