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Basic maths

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

Componendo dividendo applied on number system and ratio proportion problems


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 Surds part 1, Rationalization


Surds are a special group of irrational numbers that can be represented easily in compact form as $\sqrt{2}$, $\sqrt{3}$ etc. In addition, a number of quick math methods in simplifying surd problems make this topic a favored one for testing problem solving abilities in schools and competitive tests...

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....

Trigonometry concepts part 3, maxima (or minima) of Trigonometric expressions

thumb_basic and rich trigonometry concepts part 3 maxima trigonometric expressions

Trigonometric functions behave not exactly like common algebraic variables, and so maximizing or minimizing an expression of trigonometric terms requires first conversion of the expression to a single function expression. Frequently the rich algebraic concept of AM GM inequality also comes handy for solving such problems...

Basic and rich concepts on Simple interest and Compound interest

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Simple interest for a year is the percentage rate of interest applied on the initial amount invested and it is fixed year to year. On the other hand, Compound interest is the percentage rate of interest applied on the amount available at the beginning of the year, and not at the beginning of the investment period...

Basic and Rich Geometry Concepts Part 6, Proof of triangle area from medians

thumb_basic and rich geometry concepts part 6 area of triangle and medians proofs top

Medians are one of the most important set of elements related to a triangle. The symmetry associated with the medians give rise to a rich set of concepts and relations. In addition to a number of important area related concepts, we will discuss here how to find the area of a triangle from the given length of its medians...


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