# Category: Number System

## 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...

## Important formulas from Number System for CAT/XAT/IIFT/NMAT/SNAP/MICAT/CMAT

1.Natural number : Counting numbers 1,2,3,4 etc are called natural numbers. 2.Whole Numbers : Natural Numbers and 0 3.Integers : All natural numbers, 0, and negative numbers together form the set of integers. {…….-3, -2,...

## How to find number of positive integers ‘x’ such that x/4 has 3 digit & x/3 has 4 digits ?

You might have solved last year CAT papers(when it was available) or any AIMCAT/SIMCAT/..CAT. A very unique question, isn’t it ? So what thought process comes in your mind right now ? Probably the...

## How to find last two digit of a large number in the form of power

You might have solved last year CAT papers(when it was available) or any AIMCAT/SIMCAT/..CAT. \/ A very unique question that troubles you is the last 2 digit of a number in form of a...

## How to find last two digit of a large number in the form of a product

You might have solved last year CAT papers(when it was available) or any AIMCAT/SIMCAT/..CAT. \/ A very unique question that troubles you is the last 2 digit of a number in form of a...

## How to find if a factorial of a number is divisible by a certain number

You might have solved last year CAT papers(when it was available) or any AIMCAT/SIMCAT/..CAT. \/ A peculiar type of question that troubles you is whether the factorial of a number is divisible by certain...

## MBA : Quantitative Aptitude

There is a group of 11 people namely: A1, A2, A3, …, A11. The number of balls with A1 through A11 in that order is in arithmetic progression. If the number of balls with...

## How to find number of digits in a Natural Number

You might have solved last year CAT papers(when it was available) or any AIMCAT/SIMCAT/..CAT. \/ 1 question that troubles you is to find the number of digits in a number. \/ Well there are...

## Practice Test:Number System

If a three digit number ‘abc’ has 2 factors (where a, b, c are digits), how many factors does the 6-digit number ‘abcabc’ have? a.16   b.24   c.18   d.30 2. P and q...

## Number System : Divisibility by 7

90 Days to CAT – A free short Course – Schedule  \/ Take the last digit off the number. Double it and subtract the doubled number from the remaining number. If the result is...

## Number System : Divisibility by 6

90 Days to CAT – A free short Course – Schedule  \/ Method 1: Check the original number if it is both an even number (divisible by 2) and (divisible by 3). This is the...

## Number System : Divisibility by 5

90 Days to CAT – A free short Course – Schedule  \/ Check the last digit in the given number and check  if it is either 0 or 5. If the last number is either...

## Number System : How to find remainder when multiplication of Numbers is divided by a Number

90 Days to CAT – A free short Course – Schedule  \/ Lets try to find remainder when 16 x 21 is divided by 13. \/ Steps : Write the digits as the number...