M4apt

After investing some time in the preparation, it's not uncommon to realize that it would be better if we make our own notes which we can refer while revising these topics before the exam. In order to make this procedure simple, I have come up with this post. 1) Ratios and proportions: If a certain amount N is divided among A, B in a ratio a:b then A's share is a/(a+b) * N and B's share is b/(a+b) *N If A:B = a:b and B:C = c:d then A:C = a*c : b*d If A:B = p:q, B:C = r:s, C:D = t:u then A:D = A/D = (A/B) * (B/C) * (C/D)    If a quantity is increased by a/b then the new content becomes (a+b)/b If a quantity is decreased by a/b then the new content becomes (b-a)/b To reduce your computations, it is always recommended to remember these values in terms of percentages 1/1 = 100 % 1/2 = 50 % 1/3 = 33.33 %   1/4 = 25 % 1/5 = 20 % 1/6 = 16.66 % 1/7 = 14.28 %       1/13 = 7.6% 1/8 = 12.25 %       1/12 = 8.33% 1/9 = 11.11 % ...

Preparing for any aptitude test without practicing or taking mock tests could be risky especially in this digital era it is not at all recommended to take a test without taking a few mock or practice test.  But how to take the mock tests for free without paying even a single penny? well, the purpose of this article is to help you with the best suitable sites to practice for your test. There is a saying "promises are promises, Excuses are Excuses but only performance is the Reality" and this is what is applicable while selecting a good test among the various sites. many tests promise that they offer a great set of questions as well as experience but most of them end up with some excuses while only few will remain with a good performance and quality papers and our focus is on these sites. Aptitude websites list which provides free aptitude test and papers of many companies as well as tests: Geeksforgeeks : It is one of the best websites which provides st...

Solving aptitude and trying to do fast math? you are here at the correct place then. this post enables you to solve square of a number within a few seconds when results are observed practically, the average time taken to find squares of 10 random numbers is 103 seconds. Before going into the topic, let me tell my experience, it was a typical day in our college and that was a boring lecture and all the students were busy trying to listen the class, there begins the actual story my friend who is aiming to crack the CAT exam and get a seat in one of the reputed MBA school was doing some rough work at the end of his notes. he then told me the importance of fast math in the competitive exams and how it reduces the solving time from minutes to seconds in many cases. being curious about the fast math, I have searched a lot to find the squares of the numbers and found many techniques after watching youtube videos, referring some books, blogs... but it was a big question mark w...

Have you ever gone through the topic called digital sum and surprised? Don't worry if you have not yet gone through because this post is exclusively for people like you. Solutions for these questions gets cleared after reading this post. What is Digital sum? How does digital sum help to save time? What is a Digital root? Digital sum: Digital sum can be defined as the sum of all the digits of a number. Digital root: The Digital root of a number can be obtained by finding digital sum repeatedly until you get a single digit. Let A, B be two numbers. Digital root properties: Digital root(A*B) = Digital root( Digital root(A)*Digital root(B) ) Digital root(A^2) = Digital root(Digital root(A)*Digita root(B)) Digital root(A+B) = Digital root( Digital root(A)+Digital root(B) ) Digital root(A-B) = Digital root( Digital root(A)-Digital root(B) ) Digital root(10^x + A) = Digital root(A) How are these properties going to help you in saving your time? If yo...

Ratios and proportions is one of the most important topic in aptitude because of wide range of it's applications like ages, percentages, mixtures and allegations... Ratio is a quantitative relation between two or more numbers which tells how many times one number is w.r.t other. If a certain amount N is divided among A, B in a ratio a:b then A's share is a/(a+b) * N and B's share is b/(a+b) *N If A:B = a:b and B:C = c:d then A:C = a*c : b*d If A:B = p:q, B:C = r:s, C:D = t:u then A:D = A/D = (A/B) * (B/C) * (C/D)   If a quantity is increased by a/b then the new content becomes (a+b)/b If a quantity is decreased by a/b then the new content becomes (b-a)/b To reduce your computations, it is always recommended to remember these values in terms of percentages 1/1 = 100 % 1/2 = 50 % 1/3 = 33.33 % 1/4 = 25 % 1/5 = 20 % 1/6 = 16.66 % 1/7 = 14.28 %       1/13 = 7.6% 1/8 = 12.25 %       1/12 = 8.33% 1/9 = 11.11 %       1...

Prime numbers in Mathematics have a great property that they are divisible ONLY by '1' and by itself. Traditional method to check whether a given number is prime number or not: Check for the divisibility test for each and every number from 1-number but that is the worst strategy to solve problems based on prime numbers in aptitude. Moderate method suggested to check for the Divisibility test for each and every prime or odd number from 1 to √(number) and this reduced some complexity in solving these problems. Even this method failed to minimize the computation and thus a great concept of Prime Series came into existence which generalized the form of a prime number. Generalized form of Prime number:  6*K ± 1 (K is a natural number) "Every prime number is in the form of 6*K ± 1 " but not every  6*K ± 1 is Prime number. To prove the above statement, We can define each and every integer as (6*k-3) :Divisible by 3 (6*k-2) :Divisible by 2 (6*k-1) (6*k+0) :Div...

Logarithms have a wide range of applications in solving problems which are based not only on logarithms but also on the problems like finding the bigger number of 2^51 and 5^30. Logarithms also have many other applications which when used gives an immense sense of its usage. Logarithms What is a Logarithm? A Logarithm is a quantity which represents the rise of it in terms of another number (base) How it was derived, is there any formula to get logarithmic values? Yes, there is a series called logarithmic series which will generate value of the logarithms The main terms which one should be more familiar with before solving logarithmic problems are Exponent: Power of a number. Base: The number to reduce another number when log is applied. Some Basic Logarithmic formula: log ab = log a + log b log a/b = log a - log b log(a^b) = b*log(a) log a b = 1/log b a log b n = log e n/log e b log 10 n = log e n/log e 10 = log e n *(0.43429448..) Tool to find logarith...

Have you ever gone through factorial dependent questions in aptitude? Many problems which deal with factorials seems to be too complex and most of us may skip those questions even before a single try.so how can we stop these problems irritating or confusing us? well a few simple procedures to solve all such problems are given here Before starting the procedures, let us learn about basics... Factorial(!): Product of an integer with all the integers below it. e.g: 4! = 4*3*2*1 The Highest power of a prime number 'P' (P is prime) in factorial of another number 'N' is N/P + N /P^2 + N/P^3 + .....

Voila, you are here! Problems on trains in aptitude problems are not just to test your ability to solve the problems on trains and their properties but you can logically resolve many theories using this concept and this is one of the important part while learning aptitude. Conversions: A Kilometer/Hour = A(5//18) meter/second. A meter/second = A(18/5) Kilometer/Hour. Foundation: Time taken by a train of length 'l' units to cross a fixed point or pole is equal to the time taken by the train to travel 'l' units. Time taken by a train of length 'l' units to cross a  stationery object of length 'm' units units is equal to the time taken by the train to travel 'l+m' units. Suppose 2 trains are moving in the same direction with speeds U , V where U > V then their relative speed is U - V .

Alligation rule is used to determine the exact proportion to mix two ingredients of any price to obtain a mixture with estimated cost. Mean price: Cost price of the mixture per unit. suppose a container contains x units of liquid out of which y units are replaced then quantity of liquid after n such operations left in container would be x(1-y/x)^n  Alligation rule: Quantity of cheap ingredient(b) : Quantity of costly ingredient (a)= x2-x1 : x1-x0 point to remember: cost price of mixture always lies between two costs. Consider the graph Quantity v/s Cost , with this method one can solve problems with more ease A: Type of cheaper ingredient. B: Type of costly ingredient. x0: cost of cheaper ingredient. x1: cost of mixture. x2: cost of costly ingredient. Quantity of cheap ingredient : Quantity of costly ingredient = x2-x1 : x1-x0

This is a part of Logical ability section, we are supposed to draw conclusions using given existing data but not from our usual life it's something life nature v/s nurture where we have to consider nurture but not generic nature, you will understand this by the end. Example All girls are women. Some women are pregnants. the conclusion can be: some girls are pregnants.(-or- some girls are not pregnants) Deduction: A form of reasoning with 2 premises and 3 terms.

The key idea of the truth teller identification in competitive exams is to test one's logical ability to answer questions and its usage is increasing day by day, It is the way to test your ability to identify the level truth or lie from many given inferences to draw some conclusion.From the given set of statements by few persons, has to draw a conclusion. Truth teller, Lie Detector.    Types of people in Truth teller and lie detector problems: Liar : A person who always lie. Truth Teller :A person who always says the truth. Alternator: A person whose answers always alters in a step fashion(example: if he say 3 statements, his statements' truthness can be either T, F, T or F, T, F)

Well we are all aware of calculating simple interest in our regular life and perhaps many solve this on the go,even though this post is for some one who is trying to figure out how to calculate simple interest for a loan lend or borrowed. Terms: Simple Interest(SI):Cash to be paid for using other's money. Principal(P): Amount lend or Amount borrowed.

A Remainder is the portion is left unused after doing some process,In this context remainder is a number which is left when a number is divided by another number. In the basic levels of our education,we learn how to find remainders of normal maths expressions like Remainder("5",4)=1 but what if the question is asked in the form of Remainder( "19*19*17*21*9" ,"5") calculation part requires more time than the time we get to solve the same in the exam if we follow traditional methods. Divisor A number by which another number to be divided.

One of the important roles of an organization is to ensure the overall performance based on profit as it is the only factor for organization's sustainability.so profit and loss problems have a great role in quantative aptitude. In general,profit can be defined as the financial gain and loss can be defined as the amount lost. There are few more terms which one should learn  Cost Price(C.P): Amount incurred for purchasing/manufacturing the product. Selling Price(S.P): Gained amount in process of selling the product.

Many exams try to make you feel that you cannot solve the problem by making question as big as possible like units place of (186937)^178909 but solving this problem is as simple as solving 9%4 Before solving these kind of problems, understand the great concept called Cyclicity of numbers which states that any digit when multiplied by itself repeatedly, generates a cycle of digits. points to remember: Only units place will be responsible for generating units place Every number after applying successive multiplications,repeats the cycle of digits. So try to figure out a common series in powers of digits for example units(3)=3,units(3*3)=9,units(9*3)=7,units(7*3)=1,units(1*3)=3(we get a cycle of multiplication) Number      powers                         Series/cycle(units place of powers column) [cyclicity of number] 2                 2,4,8,16,32 ...

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.

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)

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 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