In work life and personal life often we need to learn the basics on a subject. Base concepts on any subject form the foundation, but it is not easy to build it. Our focus here is on base concepts that can be used as a launch pad for further learning and subject specific problem solving.


Basic maths: Basic concepts on maths. Other subjects will be added in due course.

How to solve Arithmetic problems on Work-Time, Work-Wage and Pipes-Cisterns

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Different persons or types of persons complete the same work in different number of days as their work capacities are different. For example, a boy may complete a work in 6 days while a man may complete the same work in 3 days. In work-wage problems these work rates become important as the working agents receive wages in ratio of their work capacities. Finally, in pipes and cisterns problems similar working agents come into action in the form of pipes but they receive no wages...

Arithmetic problems on mixing liquids and based on ages

thumb_Arithmetic problems on mixing liquids and ages

When two materials are mixed together in a certain ratio homogeneously, a mixture is formed. Various operations on such a mixture give rise to the topic of Mixture. Usually liquids that can be mixed are used in mixtures. Examples are, Water and milk, Water and fruit juice. Alloys are also formed by mixing metals through specific processes. Grains of same cereal of different price can be mixed giving rise to a grain mixture of another price...

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...


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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...


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