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 level number and age ratio problems lightning fast

thumb_How to solve SSC CGL level number and age ratio problems lightning fast

Use of a rich ratio concept based on a most basic ratio concept 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...

How to solve difficult SSC CGL algebra problems in a few steps 12

thumb_How to solve difficult SSC CGL algebra problems in a few steps 12

Algebraic rich concepts and techniques along with general problem solving strategies enable elegant solution to the difficult SSL CGL Algebra problems. In this 12th session we will highlight one of such powerful problem solving technique of continued factor extraction, that can be applied for solving different types of difficult algebraic problems in quick time...

How to solve intriguing SSC CGL level Geometry problem in a few steps 4

thumb_how to solve intriguing ssc cgl geometry problem in a few steps 4 top

Sometimes in the breakneck hurry while struggling with the questions in a cutting edge leading selection test you might meet a problem that doesn't seem right somehow. You figure out the only way to arrive at the solution but out of sheer curiosity you check back the solution value with the given values to verify the sanctity of the problem definition...

How to solve difficult SSC CGL algebra problems in a few steps 11

thumb_How to solve difficult SSC CGL algebra problems in a few steps 11

Algebraic rich concepts and techniques along with general problem solving strategies enable elegant solution to the difficult SSL CGL Algebra problem in this eleventh session of algebra problem solving in a few simple steps. This time our emphasis has been analyzing the two feasible solutions of the chosen problem...

How to solve Time and Distance problems in a few simple steps 2

thumb_How to solve ssc cgl time and distance problems in a few simple steps2

Time and distance problems are taught in middle schools and also form an important component of competitive tests. In this second session of time and distance problem solving in a few steps, we have shown the process of reaching solution in a few steps for two chosen problems...

How to solve difficult SSC CGL Geometry problems in a few steps 3

thumb_How to solve difficult SSC CGL geometry problems in a few steps 3

Basic Geometry concepts with general problem solving strategies and techniques produce elegant solutions in difficult Geometry problems just as in Algebra or Profit and loss. In this third session of Geometry problem solving in a few steps we will analyze solution process of three chosen geometry problems...

How to solve difficult SSC CGL Geometry problems in a few steps 2

thumb_How to solve difficult SSC CGL geometry problems in a few steps 2

Applying Basic Geometry concepts together with general problem solving strategies and techniques produce elegant solutions in difficult Geometry problems just as in Algebra or Profit and loss. In this second episode of Geometry problem solving in a few steps we will analyze solution process of four chosen geometry problems...

How to solve difficult SSC CGL Geometry problems in a few steps 1

thumb_How to solve difficult SSC CGL geometry problems in a few steps 1

Geometry is no different from Algebra or Profit and loss with respect to solving a difficult SSC CGL problem in a few steps by applying Basic subject concepts together with Problem solving strategies and techniques. In this first episode of Geometry problem solving in a few steps we will analyze solution process of two chosen geometry problems...

How to solve difficult SSC CGL Algebra problems in a few assured steps 10

thumb_How to solve difficult SSC CGL algebra problems in a few assured steps 10

Algebraic rich concepts and techniques along with general problem solving strategies enable elegant solution to the difficult SSL CGL Algebra problem in this tenth session of algebra problem solving in a few simple steps. But out of two elegant solutions this time, which one should we select? The associated degree of certainty provides us with an usable criterion for choosing the method of solution...

How to solve difficult SSC CGL Profit and loss problems in a few steps 3

thumb_How to solve difficult SSC CGL profit loss problems in a few steps 3

Usually profit and loss problems do not come difficult, variations are few and with a bit of grounding on concepts you can solve any of this category of problems easily. That's why this one surprised us. At the first glance there seemed to be too many variables and the problem unsolvable. But when we looked deeper we discovered the clues to elegant solution one by one...

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