Key pattern identification

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...

This is the second part of the third 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, indices, equalization of power, base equalization technique, missing element pattern, similarity increase technique, numerator equalization, coefficient comparison, variable elimination by substitution, solving a simpler problem and mathematical reasoning...

This is the second 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, variable elimination by substitution, fraction ratio normalization, ratio joining, product of roots, sum of roots, perfect square forms, and mathematical reasoning...

This is the second part of the first solution set of SSC CGL Tier II algebra. A few of this set of 5 problems need application of advanced pattern discovery and methods for quick solution. Important concepts and techniques used are, pattern discovery, basic ratio concepts, HCF reintroduction technique, portions concept, collection of like terms, surd algebra, key pattern identification, mathematical reasoning, minimum value of sum of inverses and mathematical reasoning...