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For guided learning and practice on Fractions, Surds and Indices follow Comprehensive Guide on Fractions, Surds and Indices with all articles listed

Tutorials

In work life and personal life often we need to learn the basics on a subject quickly. Usually it is not easy to acquire the basic concepts on any subject reliably in a short time from a concise material.

Basic concepts on any subject form the foundation, but generally we have found it is not easy to build it in a short time. Our focus here is on base concepts in a concise form that can be learned quickly and be used as a launch pad for further learning and subject specific problem solving.

Often we added a rich concept layer derived from the base concepts that helps to solve more complex problems with great ease. For us, it is a two layer concept model: Base concepts and Rich concepts derived from base concepts. Objective is efficient problem solving.

Subcategories

Basic maths: Basic concepts on maths. The content is primarily targeted for competitive test requirements.

Reasoning and logic analysis: Tutorials, problems and puzzles on competitive test reasoning and logic analysis.

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...

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...

How to solve high level nine position circular seating reasoning puzzles for SBI PO quickly 8

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In this eighth tutorial session, while solving a high level nine person circular seating reasoning puzzle, we will give more time to analysis of all the logic conditions together. With a feel of the nature of the problem then, we will identify the main barrier to the problem, select the most promising logic conditions to process first, and take the next steps to remove the main barrier...

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...

How to solve high level circular seating arrangement reasoning puzzles for SBI PO quickly 7

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In this seventh tutorial session, while solving an especially difficult circular seating reasoning puzzle, we have used the rigorous form of first condition selection strategy to select the first statement with maximum present and future certain assignment potential. The second key strategy for quick solution to this hard puzzle has been creation of alternate logic table level configuration...

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