Base equalization technique

The reason why it is possible to apply Base equalization technique in many different areas lies in the concept of abstraction.

Abstraction means expressing in more general terms.

The special characteristic of the base equalization technique is its amenability to abstraction. It is possible to express the common core abstract base equalization technique as a series of general steps,

  • In a set of components each having multiple entities, identify the base to be equalized.
  • Identify the target value to be equalized to.
  • Equalize the bases of each component in the set.
  • Establish direct relationship between the other entities of all components in the set.
  • Carry out the desired operations on these entities that was the objective of the whole series of actions.

In indices problems, base that was equalized was generally the base of the index itself, and occasionally the power or the index also. In fraction arithmetic, equalization of bases is the most important technique. In most cases the base equalized is the denominators of the fractions to their LCM value and very infrequently the numerators also to their LCM value. In time and work problems, instead, we equalize the base of unit rate of work as a portion of whole work done in common unit term by a work-agent. Otherwise, more areas we find where use of this efficient problem solving versatile technique leads us to our desired solution following a least cost efficient path.

SSC CGL level Solution Set 47, Fractions decimals and surds 2

thumb_SSC CGL solution set 47 fractions decimals surds 2

This is the 47th solution set of 10 practice problem exercise for SSC CGL exam and 2nd on topic fractions, decimals and surds. Students must complete the corresponding question set in prescribed time first and then only refer to this solution set for extracting maximum benefits from this resource...

SSC CGL level Solution Set 45, Algebra 11

thumb_SSC CGL solution set 45 algebra11

This is the 45th solution set of 10 practice problem exercise for SSC CGL exam and 11th on topic Algebra. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through these solutions, one must solve many problems in a systematic manner using this conceptual analytical approach. One can learn well only by practicing learning by doing...

SSC CGL Tier II level Solution Set 8, Profit and loss 1

thumb_SSC CGL Tier2 level solution set 8 profit and loss1 top

This is the 8th solution set of 10 practice problem exercise for SSC CGL Tier II exam and 1st on topic Profit and loss. Students should complete the corresponding question set in prescribed time first and then only refer to this solution set for extracting maximum benefits from this resource...

SSC CGL Tier II level Solution Set 3, Algebra 3

thumb_SSC CGL Tier 2 solution set 3 algebra3

This is the 3rd solution set of 10 practice problem exercise for SSC CGL Tier II exam and also the 3rd on topic Algebra. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through these solutions, one must solve many problems in a systematic manner using this conceptual analytical approach. One can learn well only by practicing learning by doing...

SSC CGL Tier II level Solution Set 2, Algebra 2

thumb_SSC CGL Tier 2 solution set 2 algebra2

This is the 2nd solution set of 10 practice problem exercise for SSC CGL Tier II exam and also the 2nd on topic Algebra. For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through these solutions, one must solve many problems in a systematic manner using this conceptual analytical approach. One can learn well only by practicing learning by doing...

HCF and LCM

thumb_hcf and lcm

Highest Common Factor or HCF is the largest factor that divides two or more numbers under consideration. It is the largest among all the factors common to the set of numbers under consideration. The LCM is the smallest number that is divisible by the set of given numbers. In other words, LCM is the least common multiple of the set of given numbers...

How to solve Arithmetic mixture problems in a few simple steps 1

thumb_How to solve arithmetic mixing problems in a few simple steps 1

The problems involving Mixture of liquids (and sometimes solids in alloy form) are taught in schools and also form an important part of most of the competitive job tests such as SSC CGL, Bank POs etc. This subtopic belongs to Arithmetic and we have found that students find some difficulties in solving these problems...

How to solve difficult Algebra problems in a few simple steps 3

thumb_How to solve algebra problems in a few simple steps 3

This is the third offering on Algebra problem simplification, presenting more novel faces of Algebra problems. But then it is always possible to solve such problems in a few steps using basic and rich algebra concepts along with powerful problem solving strategies and techniques...

How to solve difficult Algebra problems in a few simple steps 2

thumb_How to solve algebra problems in a few simple steps 2

Algebra is a discipline of symbol manipulation and usual problems involve only a few basic concepts. But to solve relatively more complex problems in a few simple steps we need to build our rich concept set specific to Algebra as well as use powerful general problem solving strategies and techniques. This is the second offering on Algebra problem simplification...

Pages

Subscribe to RSS - Base equalization technique