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Difficult algebra problems

SSC CGL level Solution Set 33 Algebra 9 video Part I

The five problems are not easy but could all be solved quickly enough by pattern discovery and application of suitable techniques. The solutions and concepts are explained in details. Important concepts used are mathematical reasoning, pattern discovery, sum of inverses conversion, sum of inverses power down and hidden three variable zero sum principle. The Concepts and Techniques form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...

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SSC CGL level Solution Set 23 Algebra 8 video Part I

The five problems are not easy but could all be solved quickly enough by pattern discovery and application of suitable techniques. This set of solutions is rich in learning. The solutions and concepts are explained in details. Important concepts used are mathematical reasoning, pattern discovery, simplifying a long expression by factoring out a zero valued factor in every pair of terms, graphical algebra, simplifying by dummy variable substitution and sum of inverses conversion. The Concepts and Techniques form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...

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SSC CGL level Solution Set 22 Algebra 7 video Part II

This is a 5 problem set rich in learning. The five problems solved in this video are of different types and includes a number of difficult problems. All are solved though in mind using concepts and techniques such as, pattern discovery, method to eliminate surd from a surd variable by forming a sum of inverses, rule of formation of sum of inverse expression, dummy variable substitution, relation of roots of a quadratic equation, and mathematical reasoning. The Concepts and Techniques, explained with precision and details, form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...

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SSC CGL level Solution Set 22 Algebra 7 video Part I

The five problems are not easy but could all be solved in mind by pattern discovery and application of suitable techniques. This set of solutions is rich in learning. The solutions and concepts are explained in details. Important concepts used are mathematical reasoning, pattern discovery, factorization of a long expression by pattern discovery or coefficient comparison, and division of one algebraic expression by a second by continued factor extraction method. The Concepts and Techniques form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...

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SSC CGL level Solution Set 13 Algebra 6 video Part II

This is a 5 problem set rich in learning. The five problems solved in this video are of different types and includes two difficult and a few tricky ones. All are solved though in mind in minimum time using concepts and techniques such as, pattern discovery, prime number concepts, comparison of coefficients of like terms, golden strategy of algebraic simplification, two methods of double square root surd simplification, pattern discovery, inversion technique, dummy variable substitution, and mathematical reasoning. The Concepts and Techniques, explained with precision and details, form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...

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How to solve SSC CGL Surd Algebra lightning quick 17, Sum of inverses on Surd

The problem chosen in this 17th video on SSC CGL level Algebra in a few steps could be solved lightning quick all in mind by converting target expression in terms of a square of sum of inverses and then evaluating the sum of inverses using awkward looking surd variable by using the basic algebraic concepts of addition of square of sums. The deductions are explained in details. The concepts and techniques are valuable as these help to solve a large variety of algebra problems in just a few steps. The video should be useful for SSC CGL Tier II, CAT or GMAT as well...

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How to solve SSC CGL Algebra mentally in quick time 16 video, Pattern based Algebra technique

The problem chosen in this 16th video on SSC CGL level Algebra problem solving in a few steps is fairly large but could be solved in mind by first simplifying the problem expression using component expression substitution, second by identifying the critical pattern and last by applying the three-variable zero sum principle. Working of this principle based technique is explained. The concepts and techniques are valuable as these help to solve a large variety of algebra problems in just a few steps. The video should be useful for SSC CGL Tier II, CAT or GMAT as well...

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How to solve SSC CGL Algebra mentally in quick time 15 video, Patterns, Mathematical Reasoning

The problem chosen in this 15th video on SSC CGL level Algebra problem solving in a few steps is not so difficult and could be solved very quickly using pattern based mathematical reasoning. The concepts and techniques are valuable as these help to solve a large variety of algebra problems in just a few steps. The video should be useful for SSC CGL Tier II, CAT or GMAT as well...

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How to solve SSC CGL Algebra quickly in a few steps 14 video, hard algebra

A complex problem is solved in this 14th video on SSC CGL level difficult Algebra problem solving in a few steps, first by applying a general algebra problem solving technique and then by a specific pattern based powerful algebraic problem solving technique. At the end, a second simpler problem is also solved using the pattern based technique. The video should be useful for SSC CGL Tier II, CAT or GMAT as well...

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SSC CGL Algebra solving quickly 13, A novel approach

We have solved an apparently unsolvable problem in this 13th video session on SSC CGL level Algebra problem solving in a few steps. We could find no way to transform the given expression to get the value of the target expression, nor could we evaluate the values of three variables directly from the given expression. As these two main approaches by which most competitive algebra problems are solved failed, we had to resort to a novel method using trial of choice values against target expression for feasibility and then verification of the values thus obtained from the given expression. We have worked backwards. Finally, the solution was quick and satisfactory and it taught us a few new things about how to solve problems. The concepts and methods should prove valuable in addition, for SSC CGL Tier II, CAT or GMAT where algebra is a topic...

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