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Vedic Mathematics: Sub Sutra (1-13)

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...

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Published 2026 · Last updated Aug 2026

Vedic Mathematics: Sub Sutra (1-13)

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Course overview

Course Overview

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

What you walk away with

Career Map & Skills You Gain

Every course adds to three macro skills. Log in to swap platform averages for your own numbers.

Financial skills

62th

percentile

Your salary vs. learners in these roles

After this course+14 pts → 76th

Ancient Knowledge Specialist

78% course score

+8

Project Contributor

66% course score

+7

Independent Practitioner

61% course score

+6

Employability skills

71th

percentile

Quiz scores from the courses you finish

After this course+18 pts → 89th

Understand the principles and ap...

64% course score

+6 pts

Solve mathematical problems effi...

70% course score

+7 pts

Improve speed and accuracy in me...

76% course score

+8 pts

Apply Vedic Math shortcuts to so...

82% course score

+8 pts

Life skills

48th

percentile

Life-skill test scores after each course

After this course+11 pts → 59th

Critical thinking

76% course score

+8 pts

Decision-making

71% course score

+7 pts

Analytical mindset

68% course score

+7 pts

Curriculum

13 modules · 45 lessons · 4 hr 15 min

Each module pairs the hand calculation with the same analysis in Excel, SPSS, R and Python.

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
Section Quiz
5:00
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
Section Quiz
5:00
Solving Quadratic Equations Using Sub-Sutra 3
Preview
7:28
Fastest Method of Solving Quadratic Equations
8:15
Section Quiz
5:00
Dividing Any Number by 7 and the Cycle of 7
7:55
CAT Question Solved with Sub-Sutra 4
7:43
Section Quiz
5:00
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
Section Quiz
5:00
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
Section Quiz
5:00
Sub-Sutra 7: Finding the Square of Any Number Using Sub-Sutra 7
4:19
Practice Questions Based on Sub-Sutra 7
4:30
Section Quiz
5:00
Multiplication Using Sub-Sutra 10
Preview
7:19
Practice Questions on Sub-Sutra 8
7:18
Section Quiz
5:00
Solving Equations Verbally Using Sub-Sutra 9
4:59
Solving Equations Verbally Using Sub-Sutra 9: Part 2
7:01
Section Quiz
How to Solve an IIT-JEE level Question on Binomial Equation Verbally?
7:39
Section Quiz
5:00
Note about Sub-Sutra 11
0:08
Section Quiz
5:00
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
Section Quiz
How to Do Sum of Products Without Multiplication
7:38
Solving Binomial Equation Using Sub-Sutra 13
3:54
Section Quiz
5:00

Degree Track Only

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

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Meet your instructors

Learn from Experts and Leaders

Nikhil Bhalla

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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Frequently asked

Who is this course for?

This course is designed for learners who want a practical, comprehensive path through the course subject.

What will I learn?

You will build practical knowledge through the course lessons, examples, and activities.

How long do I have access?

Your course access remains available for the lifetime of your account, including future updates.

Do I get a certificate?

Yes. A verifiable certificate of completion is issued when you finish the course requirements.

Is there a refund policy?

Yes. There is a 30-day money-back guarantee, no questions asked.

We are committed to your progress

Lifetime access, mentor Q&A on every lesson, and a certificate you can share the moment you finish. If it is not right for you, the first 30 days are on us.

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