## How to solve a hard CAT level Time and Work problem in few confident steps 1

To solve hard math, instead of thinking conventionally and mechanically, use your problem solving skills, inventive thinking and basic math concepts.

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This is not specific to any exam. Each article highlights how difficult problems can be solved say in 3 steps instead of conventional 10 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:

- The problem should not require too much math knowledge to solve,
- The problem should have an inherent difficulty for most of the students or may be too lengthy and,
- 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

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.**

Submitted by Atanu Chaudhuri on Fri, 03/03/2017 - 13:48

Submitted by Atanu Chaudhuri on Thu, 05/01/2017 - 21:10

Usually we solve difficult Algebra problems in a few steps using basic and rich Algebra concepts and techniques together with powerful general problem solving techniques. This problem required more of deductive reasoning, enumeration, mathematical reasoning, general problem solving techniques and core algebraic concepts such as symmetry in algebraic expressions and less of algebraic expression manipulation...

Submitted by Atanu Chaudhuri on Mon, 14/11/2016 - 23:20

In procedural approach to solve Trigonometry or Algebra problems, usually the student has to go through many steps writing the steps using pen and paper without using the useful patterns lying partly hidden in the problem waiting to be used with intelligence so that the solution is reached in a few steps lightning fast, that too without using pen and paper. We are not discussing tricks. We are discussing the anatomy of a rich concept that are based on basic concepts and how a specific rich concept can be used for what we call, efficient problem solving.

Submitted by Atanu Chaudhuri on Fri, 11/11/2016 - 12:58

To solve many ratio problems including number system problems quickly, use multiple ratio, componendo dividendo and other quick solution techniques.

Submitted by Atanu Chaudhuri on Thu, 01/09/2016 - 14:26

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...

Submitted by Atanu Chaudhuri on Tue, 23/08/2016 - 22:55

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...

Submitted by Atanu Chaudhuri on Wed, 27/07/2016 - 20:23

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...

Submitted by Atanu Chaudhuri on Sat, 23/07/2016 - 17:43

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...

Submitted by Atanu Chaudhuri on Wed, 20/07/2016 - 22:58

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...

Submitted by Atanu Chaudhuri on Tue, 19/07/2016 - 16:34

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...