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Basic maths

Base level maths on which most of the competitive test and school level exam activities depend

Componendo dividendo uncovered to solve difficult Algebra problems quickly 5

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Occasionally the distinctive expression appears in one of the expressions, but its inseparable pair, the fraction of the two variables, is not readily available in the problem statement. We say in these cases that componendo dividendo appears in partial form, and the problem is of hidden componendo dividendo type. We need to change the given expression to match the target expression in such cases...

Componendo dividendo adapted to solve difficult Algebra problems quickly 4

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When the problem appears in a form exactly suitable for applying the method, problem solving is trivial and very easy. The real challenge lies in problems where, there is some pattern similar to Componendo dividendo in the problem, but only partially, so at first glance we don't consider Componendo dividendo as the suitable approach...

How to solve Surds part 3, Surd expression comparison and ranking

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In this third tutorial on how to solve surd problems, we will take up explaining two related problem classes, namely, two-term surd expression comparison and ranking. First we will state and explain two important rich concepts used for quick solution and then apply the rich concepts in solving chosen SSC CGL level problems...

How to solve Surds part 2, double square root surds and surd term factoring

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In this second concept session on how to solve surds, you will learn how to simplify square root of surds that are actually surds expressions under a second square root. You will also learn two more important surd simplification techniques—surd term factoring and coefficient comparison in a surds equation. Suitable surds examples and test level surd problem are used for showing how the surd simplification techniques work. This comprehensive set of surd techniques are important for relevant competitive exams such as SSC CGL Tier II...

Componendo dividendo applied on number system and ratio proportion problems

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Because of the easy systematic steps most likely we would be able to solve a problem quickly and wholly in mind by Componendo dividendo. In this session we have shown how problems not directly conforming to the Componendo dividendo can still be solved quickly using the concepts of Componendo dividendo...

Componendo dividendo in Algebra

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We have seen Componendo dividendo to simplify competitive math problems in many topics so much so that the problems could usually be solved in mind. In this session we will highlight the power and elegance of the three-step simple process in the area of Algebra with three examples...

Basic and rich concepts on Moving Escalator to solve difficult Speed Time and distance problems in a few steps

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Usually time and distance problems involve objects moving on fixed stationary ground base. When the base starts moving, an additional level of complexity is introduced. These are problem areas favorable for applying very basic relative speed concepts and arrive at solution in a few steps...

Basic and Rich Percentage Concepts for solving difficult SSC CGL problems

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In business world, academics, Science and technology, or daily life, use of the concept of Percentage is ubiquitous and all-pervading. Because of its apparent simplicity though, this concept is taken for granted with not much emphasis on its elaboration and explanation....

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