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Ancient Knowledge

Vedic Mathematics: Sub Sutra (1-13)

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Last updated Aug 2026

Course Overview

About This Course

Welcome to Vedic Mathematics: Shesanyankena Charamena (Sutra 12), a comprehensive course designed to help you master one of the powerful sutras of Vedic Mathematics. Shesanyankena Charamena, meaning "The Remainders by the Last Digit," is the twelfth sutra of Vedic Mathematics and provides fast, efficient techniques for solving a wide range of numerical problems.


This course takes you from the fundamentals of Sutra 12 to its practical applications in speed mathematics and mental calculations. Each concept is explained in a simple, step-by-step manner with numerous examples and practice problems, enabling you to understand the underlying logic and apply the techniques confidently. Whether you are a student preparing for competitive examinations or someone interested in improving mental arithmetic skills, this course will help you perform calculations more quickly and accurately.


By the end of this course, you will have mastered the applications of Shesanyankena Charamena and gained valuable insights into the elegance and efficiency of ancient Vedic Mathematics.

Learning Outcomes

Understand the principles and applications of Vedic Mathematics Sutra 12.

Solve mathematical problems efficiently using Shesanyankena Charamena techniques.

Improve speed and accuracy in mental mathematics and competitive exam calculations.

Apply Vedic Math shortcuts to solve remainder-based numerical problems.

Develop a deeper appreciation of ancient Vedic mathematical techniques and their modern applications.

Apply Shesanyankena Charamena techniques confidently to solve complex numerical problems with greater speed, accuracy, and efficiency in academic and competitive examination settin

Curriculum

3hr 20min 13 Sections • 32 Lectures
Understanding and Application of Sub-Sutra 1: Multiplication
Preview
6:51
Finding Squares Using Sub -sutra 1
5:05
Finding Cube of Any Two Digit Number Using Sub-Sutra 1
5:01
Calculating Ratios and Proportions using Sub-Sutra 1
8:09
Understanding and Application of Sub-Sutra 2: Division
4:48
How to Divide a Number with a Perfect Cube Using Sub-Sutra 2?
7:04
Division by Any Number as a Divisor: Part 1
7:10
Division by Any Number as a Divisor: Part 2
3:08
Solving Quadratic Equations Using Sub-Sutra 3
Preview
7:28
Fastest Method of Solving Quadratic Equations
8:15
Dividing Any Number by 7 and the Cycle of 7
7:55
CAT Question Solved with Sub-Sutra 4
7:43
Introduction To Sub-Sutra 5: Divisibility Rules of 2 to 9
5:27
Negative and Positive Osculator: Concept and Divisibility by 7
7:19
Osculator Concept for Numbers Ending with 1, 3, 7, 9
6:34
Exercise: Division When Divisor is Ending with 1 or 3
6:08
Exercise: Division When Divisor is Ending with 7 or 9
9:54
Sub-Sutra 6: Finding the Cube of Larger Numbers Which Are Near the Base
5:28
Exercise: Finding Cube of Larger Numbers Which Are Near the Base (New Method)
6:24
Sub-Sutra 7: Finding the Square of Any Number Using Sub-Sutra 7
4:19
Practice Questions Based on Sub-Sutra 7
4:30
Multiplication Using Sub-Sutra 10
Preview
7:19
Practice Questions on Sub-Sutra 8
7:18
Solving Equations Verbally Using Sub-Sutra 9
4:59
Solving Equations Verbally Using Sub-Sutra 9: Part 2
7:01
How to Solve an IIT-JEE level Question on Binomial Equation Verbally?
7:39
Note about Sub-Sutra 11
0:08
Speed Addition Using Sub-Sutra 12
6:50
Speed Square Root Using Sub-Sutra 12
6:43
Hot to Calculate Cube Root of a Number Just by Looking at it?
5:36
How to Do Sum of Products Without Multiplication
7:38
Solving Binomial Equation Using Sub-Sutra 13
3:54

Degree Track Only

This course is available inside a Degree Track and cannot be purchased separately.

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An experienced and passionate instructor, [Name] is dedicated to fostering a dynamic and engaging learning environment where students feel motivated to grow both academically and personally. With a strong foundation in their subject area, they bring clarity, structure, and enthusiasm to every lesson, ensuring complex concepts are made accessible and relevant. Their teaching approach blends theoretical knowledge with practical application, encouraging students to think critically and develop problem-solving skills. Known for their supportive and approachable demeanor, [Name] builds meaningful connections with students, understanding that each learner has unique strengths and challenges. They are committed to creating an inclusive classroom atmosphere where curiosity is encouraged, questions are welcomed, and every student feels valued. By adapting teaching methods to suit diverse learning styles, they help students gain confidence and achieve their full potential. Beyond the classroom, [Name] is deeply invested in continuous learning and professional development, staying updated with the latest educational practices and advancements in their field. They often contribute to curriculum development, mentorship programs, and extracurricular activities, reinforcing their role as not just an instructor, but a mentor and guide. Their ultimate goal is to inspire lifelong learning and empower students to succeed in an ever-evolving world.

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Mr. Nikhil Bhalla

Mr. Nikhil Bhalla

B.Tech. (CSE) | CAT, CLAT & CUET Educator | Mathematics Expert

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Nikhil Bhalla is a highly respected Mathematics and Aptitude trainer at Scholarsight and a faculty member at T.I.M.E. (Triumphant Institute of Management Education). A B.Tech. in Computer Science & Engineering graduate from the Birla Institute of Technology, India, he has extensive experience mentoring students for prestigious competitive examinations, including CAT, CLAT, CUET, IPMAT, and other aptitude-based entrance tests. Renowned for his expertise in Quantitative Aptitude, Logical Reasoning, and Vedic Mathematics, he is known for simplifying complex mathematical concepts through practical techniques and exam-oriented strategies. His guidance has helped thousands of students secure exceptional percentiles in CAT and gain admission to the Indian Institutes of Management (IIMs) and other premier institutions. With a learner-centric teaching style and a passion for making mathematics engaging and accessible, Nikhil is dedicated to empowering students with the confidence, speed, and problem-solving skills needed to excel in competitive examinations and achieve their academic and professional aspirations.

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