Efficient Math problem solving | SureSolv

Efficient Math problem solving

Faster math problem solving in a few steps

Under this section we will solve typical math problems that a student might find difficult when preparing for competitive tests such as SSC CGL, CAT, GRE etc. We will also cover Secondary school level or even occasionally Olympiad level problems.

The chief criteria that will be common to the problems here will be three:

  1. The problem should not require too much math knowledge to solve,
  2. The problem should have an inherent difficulty for most of the students or may be too lengthy and,
  3. The problem must be solvable following an elegant method in a very short time.

We don't like to deal with laborious problems. Generally each of these problems can be solved in a number of ways.

As we teach efficient problem solving as a subject, we will always try to find the easiest way to solve a problem explaining the strategy and the process that were required to reach such a quick solution.

It means, each problem and its solution that we explain here won't just be for that specific problem. More importantly, the underlying concepts about how the solution was reached efficiently and in very quick time, form the most valuable treasure to be recognized and owned by the student by understanding the concepts and applying the concepts in future problems.

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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How to solve a SSC CGL level tricky age ratio problem lightning fast

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Use of the rich ratio technique of multiple of ratio value helps to solve a broad spectrum of ratio problems and specifically many standard number or age ratio problems elegantly in a few steps much faster than conventional procedural methods. The chosen problem here is a tricky one and we will solve it using multiple of ratio value technique as well as conventionally to highlight the power of the rich ratio technique...

How to solve SSC CGL level Algebra problem in a few steps 12 video

In this 12th video session on SSC CGL level Algebra problem solving in a few steps, two special problems are chosen. The first could be solved in no time by mathematical reasoning and key pattern identification. The second problem is more difficult and we used a special strategy for solving problems involving a series of terms along with mathematical reasoning, key pattern identification and advanced form of sum of inverses property. Finally, both are quick solutions. 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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How to solve SSC CGL level Algebra problem in a few steps 11 video

In this 11th video session on SSC CGL level Algebra problem solving in a few steps, a specially chosen surd algebra problem is solved to highlight the application of the powerful componendo dividendo method. A conventional solution without use of any advanced concepts is also explained. Both are quick solutions. 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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How to solve SSC CGL level Algebra problem in a few steps 10 video

One SSC CGL level difficult algebra problem is chosen in this video session and solved in two different ways, both in quick time. By identification of a key pattern, at first the problem is solved in no time and in the second instance, the systematic method of coefficient comparison is used for solving the problem also quickly enough. The concepts and methods should prove valuable additionally for SSC CGL Tier II, CAT or GMAT where algebra is a topic...

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How to solve SSC CGL level Algebra problem in a few steps 9 video

In this 9th video on SSC CGL Algebra solving, the chosen problem is solved lightning quick by first dealing with a continued equation and then discovering a special relationship on the input variables. It is again solved using an often used rule of sum of inverses on surd variables nearly as quickly. The second one is a more concept based method on pattern identification and properties of sum of inverses on surd variables. This video should be useful for SSC CGL Tier II, CAT or GMAT as well...

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How to solve difficult SSC CGL level Algebra problems in a few steps 8 video

Two selected SSC CGL level algebra problems are solved in a few steps. The first needed mathematical reasoning and pattern identification, while the second problem is solved first in a simple and quick straightforward method and second by componendo dividend equally fast. This is application of many ways technique. The concepts and methods should prove valuable additionally for SSC CGL Tier II, CAT or GMAT where algebra is a topic...

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