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.

Ratio and proportion

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A ratio defines how many times is one quantity with respect to another of same type. It is expressed as a minimized fraction and its numerator is called antecedent and denominator consequent. In practice these terms are not very important...

Basic and rich Trigonometry concepts and its applications

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Trigonometry first established relationships between the angle and side measurements of a right angled triangle by defining trigonometric functions and thus extended the reach of mathematics wonderfully. At first look we may not find much application of trigonometry in real world, but one must consider, the modern civilization is based on the sinusoidal frequencies that are nothing but trigonometric functions...

Geometry basic concepts Part 2, Quadrilaterals Polygons Squares

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A quadrilateral is a closed shape on a plane bounded by four straight lines. To convey the concept of 'many' the word 'polygon' is used. A closed shape on a plane with many sides is a polygon. Though any number and types of polygons are possible, apart from triangles, we are generally interested in the polygons with four sides, the quadrilateral, the parallelogram, the rectangle, the rhombus and the square...

More Rich Algebraic Concepts and techniques for elegant solutions of SSC CGL problems

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In our previous article we have explained the basic and rich algebra concepts along with powerful problem solving strategies to solve tough problems quickly and surely in a few simple steps. In this article more such rich algebraic concepts are explained with problem solving examples to bring out the power of each concept and technique in simplifying the solution of complex algebra problems...

HCF and LCM

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Highest Common Factor or HCF is the largest factor that divides two or more numbers under consideration. It is the largest among all the factors common to the set of numbers under consideration. The LCM is the smallest number that is divisible by the set of given numbers. In other words, LCM is the least common multiple of the set of given numbers...

Basic and Rich Algebraic Concepts for elegant solutions of SSC CGL problems

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Learning and problem solving in all subjects start with its basic concepts. Rich concepts are derived from this basic concept layer based on problem solving experiences. Use the basic and rich algebra concepts along with powerful problem solving strategies to solve tough problems quickly and surely in a few simple steps...

Permutation and combination

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Permutation and combination deal with choice and arrangement of a set of objects out of a second set of objects. Permutation deals with such questions as, how many ways can the three letters a, b and c be arranged? In each such permutation or arrangement, ordering is important. On the other hand, Combination deals with such questions as, how many ways can you choose a captain and vice-captain out of a cricket team of 11 players? In a combination, ordering of the elements chosen is not important...

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