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Efficient Math problem solving

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.

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 a GATE level long Work Time problem analytically in a few steps 1

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At the first look, this long-worded work time problem seemed to be a problem of two workers working together to be solved using standard mathematical deductions, but the hidden depths in this real life work place problem could have been discovered as well as solution reached quickly in mind only with analytical approach that is followed perhaps everyday in such real life work place problem situations...

How to solve Time and Work problems in simpler steps, type 2 brief

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In 42 days 40 men complete a work. As it happened, instead of all of them working together to finish the job, they started working together, but at the end of every 10th day 5 men left. In how many days would then the work be completed? Rich time and work concept of Mandays technique along with natural number concepts deliver speedy solution...

How to solve Time and Work problems in simpler steps, type 1 brief

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C and A can do a piece of work in 20 days, B and C in 24 days, and A and B in 30 days. B and C leave after three of them work together for 10 days. In how many more days would A complete the work? Using rich concept of Work rate technique and solving the problem as far as possible in mind, without writing anything on paper, results in within a minute solution...

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