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Dummy variable substitution

SSC CGL Tier II level Solution Set 14 Algebra 5 video Part 1

This is the first part of the fifth solution set of SSC CGL Tier II algebra. A number of this set of 5 problems are difficult and posed challenges for quick solution. Important concepts and techniques used are, pattern discovery, conversion to sum of inverses, surd elimination in sum of inverses, surd elimination condition, abstraction...

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SSC CGL Tier II level Solution Set 9 Algebra 4 video Part 2

This is the second part of the fourth solution set of SSC CGL Tier II algebra. A few of this set of 5 problems need application of advanced pattern discovery and concepts and methods for quick solution. Important concepts and techniques used are, pattern discovery, principle of zero sum of square terms, componendo technique, extra element pattern, roots of a quadratic equation, dummy variable substitution, sum of inverses conversion, abstraction, compact form of cube of sum, denominator simplification, and mathematical reasoning...

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SSC CGL Tier II level Solution Set 3 Algebra 3 video Part 1

This is the first part of the third solution set of SSC CGL Tier II algebra. A few of this set of 5 problems are tricky and posed a bit of a challenge for quick solution. Important concepts and techniques used are, pattern discovery, abstraction, dummy variable substitution, minima of sum of inverses, balanced expression in power of two variables, modified two-factor sum of inverses, inequality analysis, substitution of ratio of two variables, principle of zero sum of square terms, square root concept, and mathematical reasoning...

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SSC CGL Tier II level Solution Set 2 Algebra 2 video Part 1

This is the first part of the second solution set of SSC CGL Tier II algebra. A few of this set of 5 problems need application of advanced pattern discovery and concepts and methods for quick solution. Important concepts and techniques used are, pattern discovery, key pattern identification, dummy variable substitution, minima of sum of inverses, pattern identification of RHS maxima, maxima minima equalization of RHS and LHS, strategy of algebraic expression simplification, modified two factor expansion of sum of cubes , comparison of like terms, Abstraction, Continued factor extraction method, algebraic division, and mathematical reasoning...

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SSC CGL level Solution Set 57 Algebra 13 video Part II

This is a set 5 problems of different types and a few are not easy. All are solved in mind using concepts and techniques such as, pattern discovery, graphic algebra, two straight lines on a plane, surd variable comparison, surd algebra, algebraic ratios, dummy variable substitution, conversion to a simpler problem, sum of cubes and mathematical reasoning...

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