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Showing posts from October, 2016

Direction and distance

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In the direction based problems, we should generally determine the direction or distance if a person travels in a path with many lefts or rights and turns in a certain direction. Basic things which we need to keep in our mind while solving direction based problems includes the direction compass. If we measure the angles between directions, the angle between two successive directions is 90 degrees.

Pipes and cistern problems

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In the pipes and cistern problems, the majority of the problems deals with Inflow,outflow,current capacity, full tank,empty tank. There will be few inlets connected to a dam or tank through which water enters into dam or tank and outlet through which water exits the tank or dam. cistern: A tank to store water. Important points. If pipe can fill the tank in 'x' hours then rate of flow is 1/x(1/x portion of tank gets filled in 1 hour)(when we divide the tank into x parts,one part gets filled in a unit of time) If pipe can empty the tank in 'y' hours then emptying rate is 1/y(1/y portion of tank gets emptied in 1 hour)

Finding L.C.M and H.C.F of two numbers and applications

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L.C.M can be defined as Least Common Multiple of all the numbers. H.C.F can be defined as Highest Common Factor of all the numbers. Important formulae: LCM*HCF=product of the numbers. If any number is factor of other then LCM is bigger one and HCF is the other. In general to find LCM,we need to write all the multiples of given numbers and find common number in the series similarly to find HCF of few given numbers,we need to find all factors of given numbers and identify big such factor common for both the numbers but this is a time taking process so we are here for you with some other trick. First let us know about the traditional methods to find LCM,HCF. In traditional method,to find LCM of 4,15 we have to write multiple series of both the numbers. Identify common number in both. Multiples of 4: 4,8,12,16,20,24,28,32,36,40,45,58,52,56, 60 ,64......... Multiples of 15: 15,30,45, 60 ,75.......... we can say 60 is LCM of 4,15 but this takes more time. I

Prime factorization

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Prime factorization is a method of representing a number in terms of multiples of prime numbers which is more powerful in identifying co-primes, LCM, HCF, number of its factors. What are prime numbers? These are the numbers which have no factors other than one and itself. Divide and rule was

Numbers and number systems

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In this post let us clearly know about the classification of the number system.before classifying numbers let us know about numbers and number systems.  what is a number? =>A number can be defined as a group of digits which have some value. what is a number system? =>The systematic way in which numbers are organized