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 difficult SSC CGL level Algebra problems in a few steps 7 video

Two selected SSC CGL level algebra problems are solved in a few steps, but this time we could solve each of the problems in more than way using double square root technique, key pattern identification, pattern identification technique and componendo dividendo. 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 difficult SSC CGL level Algebra problems in a few steps 6 video

In this 6th video on difficult SSC CGL Algebra problem solving quickly in a few steps, two chosen problems are solved quickly in mind, first by discovering a pattern and converting target expression to given sum of inverses at one go and second by simplifying a cumbersome expression to a simple known form by dummy variable substitution. 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 5 video

Two chosen SSC CGL level algebra problems are solved in this video session in a few steps highlighting the power of analytical pattern based methods for quick solution. In the solutions, principle of interaction of inverses, surd rationalization and key pattern identification are used and explained. This should benefit SSC CGL, SSC CGL Tier II, CAT or GMAT aspirants...

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How to solve difficult SSC CGL level Surd Algebra problems in a few steps 4 video

Three difficult SSC CGL level surd algebra problems are solved in a few steps using most of the surd algebra problem solving techniques in this 4th session of algebra solving in quick steps. The first problem is solved using double square root surd simplification technique and surd factoring technique. Standard surd comparison technique is applied to solve the second problem and to solve the large surd simplification third problem, two often ignored but important numerator simplification techniques are applied along with the general principle of selecting the more complex term to eliminate. With these approaches, all three problems can easily be solved in mind by an experienced problem solver. 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 difficult SSC CGL level Algebra problems in a few steps 3 video

In this video session, you would learn how to use basic algebra concepts, mathematical reasoning and key pattern identification to solve two chosen SSC CGL level Algebra problems lightning quick in only a few steps. With practice, you should be able to solve similar problem very quickly all by yourself. This is the third video in the category Efficient Algebra Problem Solving...

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How to solve difficult SSC CGL level Algebra problems in a few steps 2 video

In this video session, you would learn how to solve three SSC CGL level Algebra problems in only a few steps by key pattern identification and use of two special algebraic problem solving techniques. With practice, you should be able to solve similar problem very quickly all by yourself. This is the second video in the category Efficient Algebra Problem Solving...

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How to solve difficult SSC CGL level Algebra problems in a few steps 1 video

In this video session, you would learn how to solve two SSC CGL level Algebra problems in only a few steps by problem analysis, key pattern identification and basic concepts involved. With practice, you should be able to solve similar problem very quickly all by yourself. This is the first video in the category Efficient Math Problem Solving...

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How to solve SSC CGL level Profit and loss problems by change analysis in a few steps 6

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In profit and loss problems when price or profit changes by certain percentages, without calculating the actual changed values and just by using the change and its effect, solution can be achieved very fast. We would solve two problems on profit and loss to highlight the power of this technique...

How to solve a SSC CGL level Profit and loss problem with equal sale price in a few steps 5

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We have already treated an interesting type of profit and loss problem with equal sale prices and equal profit and loss figures in two transactions. This session we will be solving such a problem with equal sale prices but with unequal profit and loss percentages very fast and in two ways. We will use basic and rich profit and loss concepts, fraction concepts and mathematical reasoning to achieve the speed and elegance...

How to solve a difficult SSC CGL level problem in a few reasoned steps, Trigonometry 10

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The chosen problem in this session is awkward and if you attempt to solve it through conventional deductions, it would be tedious and time consuming. You may even lose your way in confusion. Instead, if you are able to identify useful patterns and apply mathematical reasoning, solution would take just a few tens of seconds...

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