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Problem solving

It is an open ended discipline of study for solving problems in academic or daily life not randomly but systematically and efficiently at low cost using a rich set of abstract tools and techniques.

These powerful tools and techniques are created from experience analysis and abstraction of usable resources spread over many subjects such as Management, Computer Science, Maths and so on. This approach enables us to apply a technique to solve a problem in Maths as efficiently as a complex business problem.


Problem solving concepts: general concepts for enriching daily life.

Problem solving principles: form the heart of the discipline.

Problem solving techniques: help to solve difficult problems quickly and elegantly.

Problem solving approaches: these are few but form the most powerful resource.

Problem solving tools: are many and of varied power.

Problem solving skills: what are the essential problem solving skills and how to enhance the skills are discussed here.

Critical thinking: is an essential element for creating new ideas.

Problem solving in Maths: produces elegant solutions in quick time.

Relationships: Solving relationship problems.

Real life problem solving: Help in solving varieties of real life problems through concepts and case stories.

Recommended starting point

Article: Solve any problem yourself.

How to solve hard third level Sudoku puzzle 13


This is the 13th puzzle session at third level of hardness. This is a difficult puzzle with multiple bottlenecks needed to be overcome and broken through. Digit subset analysis, 2, 3 and 4 cell Cycles and digit lockdown techniques are the primary techniques and resources used for overcoming the bottlenecks. Solution of each step is explained fully...

How to solve hard third level Sudoku puzzle 12 quickly


This is the 12th puzzle session at third level of hardness.The hardness of this puzzle arose primarily from the need to use Digit subset analysis and Cycle technique frequently for valid digit identification for a cell. Though the problem didn't pose a real hard bottleneck that needed special efforts to break though, for a large portion of solving process careful analysis was needed. Solution of each step explained fully...

How to solve hard third level Sudoku, Game play 11


This is the 11th game play session at Sudoku third level of hardness.The specialty of this game has been use of large number of cycles that helped at the start. Interesting has been the four cell single digit rectangular lockdown cycle, a special structure that provided the much needed breakthrough in this specially difficult Sudoku game. Solution of each step explained fully...

Counting eggs puzzles based on Euclid's division lemma


We will first present the classic folk puzzle of counting eggs for you to solve. Proceeding further, two ways to the solution will be presented and then the binding characteristics for this type of puzzles will be brought out in the form of framework for creation and systematic solution of similar types of puzzles...

NCERT solutions for class 10 maths on Real numbers part 1, Euclid's division lemma puzzle solutions


In this first part of NCERT solutions for class 10 maths on Real Numbers, we will introduce briefly the basic concepts on real numbers, the long division method formalized by Euclid in his division lemma and will treat in some details the solutions of a rich classic puzzle highlighting the application of division lemma as well as the power of mathematical reasoning based on the concept rather than formula...

How a fruitful doctor patient consultation can be engineered, principle of positivity in play


I was a bit surprised to receive the call from my friend Ajay yesterday morning at 11. He never called at 11. If he calls, it is usually evening time. He should be busy with his affairs and don't have any reason to remember me now. Our work together will be in May. Not now in mid-April. Just as I guessed, there was a surprise in store for me...

How a real life problem is solved - to buy or not to buy a new washing machine

thumb how a real life problem is solved buy or repair

This was a simple act of domain mapping using abstraction. The nature of fault was generalized to body repair, detaching it from the domain of washing machines. We were now on the lookout for a reliable mechanic in the more general higher layer domain of metal body repair...


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