In this article discussed about basic concepts, Important Formulas, Properties with Quantitative aptitude shortcuts & tricks of ratio proportion and variation Ratio Proportion and Variation aptitude formulas for all Competitive Exams What is Ratio When compare any two numbers, some times it is necessary to find out how many times number is greater or less […]

# Category: Quantitative Aptitude

## Relationship Between Arithmetic, Geometric, Harmonic Mean. AM, GM and HM

In this page explained about formulas of Arithmetic Mean, Geometric Mean and Harmonic Mean. Relation between Arithmetic , Geometric and Harmonic Mean. Also given examples on Arithmetic Progressions (AP), Geometric Progressions (GP) and Harmonic Progressions. Arithmetic Mean The arithmetic mean “A” of any two quantities of ” p” and ” q”. Then Here p, A, […]

## Harmonic Progression Formula, Properties and Harmonic Mean Formula

In this article we learn about harmonic progression formula for nth term, sum of terms, properties with examples. Harmonic mean formula for two quantities, three quantities and number of quantities. Harmonic Progression and Harmonic Mean formulas with properties Definition of Harmonic Progression A series of terms is known as a Harmonic progression series when the […]

## State and Prove Remainder Theorem and Factor Theorem | Polynomials

Remainder and Factor Theorem Proof | Remainder and Factor Theorem Test In this page given definition and proof for Remainder Theorem and Factor Theorem and also provided application of remainder theorem and factor theorem Statement of Remainder Theorem: Let f(x) be any polynomial of degree greater than or equal to one and let ‘ a‘ be […]

## How to Find Unit Digit of a Power Number | Unit Digit Problems with Solutions

Finding Last Digit of any Number With Power | Unit place of a Number In Quantitative aptitude questions ask to find the last digit and last two digits of a power or large expressions. In this article explained different types of tools to serve as shortcuts to finding the last digits of an expanded power. […]

## Shortcut to Find Number of Factors of a Number | Sum of Factors of a Number

How to Find Total Number of Factors for Big Numbers Easily | Number System In number system the concept of factors of numbers is one of the important sub-topic. In this article, we will discussed about definition of factors of number, formulas for finding number of factors, sum of factors, product of factors, even number […]

## Remainder Theorem Tough Questions for Competitive Exams | Aptitude Questions

Remainder Theorem Aptitude Examples with Answers | Remainder Theorem Tutorial Remainder theorem basic rules were given in the following link. Here provides some examples with shortcut methods on remainder theorem aptitude. Remainder Theorem for Number System Basic rules Application of the remainder theorem: Finding the last digit of an expression purpose simply find the remainder […]

## Remainder Theorem for Number System | Remainder Theorem Difficult Examples

Remainder Theorem of Numbers | Remainder Problems in Aptitude Before going to concepts of remainder theorem of numbers, it is better to understand the the concepts of Divisor, Dividend, Quotient and Remainder Remainder Theorem Rule – 1 (Fundamental) Remainder of the expression can be expressed as positive remainders and negative remainders. Technically both positive and […]

## Average problems with solutions | Average Tricks with Examples | Exercise-3

Easy tricks to solve average problems with solutions for competitive exams In Exercise – I given basic concepts of average chapter with formulas like Weighted Average, Average age /weight, Average Speed.. etc. In Exercise – II Covered average of numbers formulas like average of natural, even, odd, squares of natural, squares of even, cubes of even numbers […]

## Average of numbers formula | Average of a series of numbers| Exercise – 2

Formulas to find average of numbers | The average of a group of numbers In this Exercise – 2 given formulas with examples for average of numbers like first “n “natural numbers, average of even numbers, average of odd numbers, average of constitutive numbers, Average of cubes of first ” n” natural, even, odd numbers … […]