# Category: QA

## Indices & Surds: Definition of Indices

An index (plural: indices) is the power or exponent of a number. For Example: has an index of 5. Here, by the term we basically mean p x p x p x p x p i.e product...

## Number System : Arithmetic operations on Fractions

Fraction : A fraction is a number in the form , where x & y are both integers and y 0. In the form , ‘x’ is called the numerator of the fraction and...

## Number System : Properties of Even & Odd Numbers

Let’s discuss about the result when basic arithmetic operations are carried out on Even & Odd Numbers. 1. Sum of two Even numbers is always an Even Number.For Example: 4 + 6 = 10...

## Number System: Basic Arithmetic operations

In this post we will discuss about some Basic Arithmetic Operations: Addition, Subtraction, Multiplication and Division. Addition:Addition combines two quantities into a single quantity. It can be done with numbers, decimal or fractions. For...

## Number System : Co-Primes or Relatively Prime

Co-Prime or Relatively Prime…HmmSo what do we mean by Co-Primes or Relatively Prime Nos. ?A set of numbers which do not have any other common factor other than 1 are called co-prime or relatively...

## Number System : GCD(Greatest Common Divisor)/HCF and LCM (Least Common Multiple)

Though you must have read these concepts in school days. Lets just revise it again and practice sufficient questions to calculate GCD /HCF/LCM in few seconds which can be used to solve some tricky...

## Number System: Properties of Integers

Here we are going to learn about Digits, Integers, Even and Odd Integers, Operation on even and Odd integers, Factors & Multiples, Prime Numbers & Composite Numbers. In the next article on properties of...

## Number System : Imaginary and Complex Number

Imaginary Number: Since no real number satisfies the equation , a number of the form , where b is a real number, b 0 and is called an imaginary number. Since real numbers does...

## Number System : Rational, Irrational & Real Numbers

Rational Numbers: The rational numbers include all the integers, all fractions, terminating decimals and repeating decimals (We will discuss fractions and decimals later).  Every rational number can be written in the form of fraction...

## Number System: Fraction, Proper, Improper , Mixed and Decimal fraction

Fraction : A fraction is a number in the form , where x & y are both integers and y 0. In the form , ‘x’ is called the numerator of the fraction and...

## Number System : Natural, Whole, Integer, Rational, Irrational and Real Number

Number : A number is a mathematical object to measure, count and label. Natural Number : The natural numbers are also called the counting numbers. The numbers 1,2,3,4 and so on are natural numbers....

## How to Solve Simultaneous Equation with 3 Variables

Let’s take simultaneous equation with 3 variables. ……………(1) …………..(2) …………….(3) To solve simultaneous equation with 3 variables Step 1: Take 2 equations, say (1) & (2) to remove any one variable, say z. Mark...

## Algebraic & Graphical interpretation of Simultaneous Equation

Let’s take a pair of linear equation: ……………..(1) ……………..(2) With the help of coefficient of equations (1) & (2) we can easily determine if the solution of the simultaneous equations will be Unique Solution,...

## Approach to solve Simultaneous Equations : Substitution & Graphical Method

Approach 2 : Substitution MethodIn this method, we express one of the variables in terms of the other in 1 of the equation and then substitute the value of the variable in the other...

## Approach to solve Simultaneous Equations : Elimination Method

Approach 1 : Elimination Method In this method we try to eliminate one of the two variables in the linear equations. After elimination, an equation with only one variable is left. Simplifying the equation,...

## Simultaneous Equations & Linear Equation in 2 Variables

A set of 2 (or more) linear equations in 2 (or more) variables which are satisfied simultaneously by a same unique solution are called as Simultaneous Equations.e.g. 2x + 3y = 14and 2x –...

## How to transform a verbal statement into a simple Equation

In CAT/GMAT/MBA/Other aptitude tests, there are verbal statements in which a problem is given. To solve the problem, we need to express it as algebraic equation. The unknown quantity is first considered as a...

## Simple Equation : Framing

Lets start with “What is an equation ?” It is a statement in which two algebraic expressions are equal. e.g. So, What is a “Linear equation” or Simple Equation”?An equation of the first order...

## Basic Concepts of Algebra

The Variables and constant coefficients combine to form algebraic terms and these algebraic terms combine to form Algebraic expressions. To combine the algebraic expressions mathematical operators are used. Example of variable : x,y,z Example...

## CAT 2016 -Find out your Percentile

ongratulations to each one of you for writing CAT 2016 and doing your best, I know most of you are worried that you could have done 4-5 questions more,  have not committed the silly...