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 … […]

## Simple Average Formulas for Aptitude Questions and Answers |Exercise-1

List of Formulas for Average Tricks with Examples |Average aptitude shortcuts Average is one of the most important mathematical concepts that we use in our day-to-day life. In fact, even the most non-mathematical individuals regularly utilize the concept of averages on a day-to-day basis. In this article provides average concepts and Average formulas with examples. […]

## Profit and Loss Problems and Solutions for all Competitive Exams

Questions and Answers on Profit and Loss Chapter | Exercise – 4 In Profit and Loss Exercise – I Covered the terminology with exercise sums on Cost Price (CP), Selling price (SP), Profit percent/Gain percent & Loss percent. In Profit and Loss Exercise – II Covered the terminology with exercise sums on Mark Up, Marked […]

## Formulas of Profit and Loss with Examples | Discounts, Break even point

Formulas for Profit and loss and practice sums | Exercise – 3 In Profit and Loss Exercise – I explained about the terminology with formulas and practice sums on Cost Price (CP), Selling price (SP), Profit (P), Loss(L), Gain , Gain percent.Profit percent and Loss percent. In Profit and Loss Exercise – II explained about the […]

## Profit and Loss Formulas | Quantitative Aptitude Questions and Answers

Formulas for Profit and loss and practice sums | Exercise – 2 In Profit and Loss Exercise – 1 explained about the terminology of Cost Price (CP), Selling price (SP), Profit (P), Loss(L), Profit percent, Loss percent, Gain , Gain percent with formulas and practice sums. In This Chapter explained the following terminology definitions with […]