# Basic Concepts & Short Tricks on Number System in Quant Section

## Basic Concepts & Short Tricks on Number System in Quant Section

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In this post, we will explain the key points of Number System from the Quantitative section that helps in solving questions.

## NUMBER SYSTEM (Basics)

The number system is the most important chapter which a student should go through without moving further in the quantitative aptitude section. In this chapter, we come across many basic topics of which the candidate should have a thorough knowledge.

Numbers are broadly classified into two categories:

• Real Numbers
• Imaginary Numbers

Further, Real numbers are also classified into two categories:

• Rational Numbers
• Irrational Numbers

Rational Numbers are further classified as:

• Fractions
• Integers

We classify integers into three categories as:

• Negative Integers
• 0 (Neither negative nor positive)
• Positive Integers

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Prime numbers: Numbers which have exactly 2 factors namely 1 and the number itself): Eg: 2, 3, 5, 7, 11.

Composite numbers: Numbers which have more than 2 factors or we can say all numbers which are not prime except 1 are Composite Numbers. Eg: 4,6,8,9.

Note: i. 1 is neither prime nor composite.

1. 2 is the only even prime number.

iii. Every prime number except 2 & 3 can be expressed in the form of (6k+1) or (6k-1).

where k is an integer.

1. If a number ‘N’ is not divisible by any prime number less than, then N is a prime

Number.

Relative primes or Co-prime: Those pair of Numbers which do not have a common factor other than 1. Eg: 3 and 8, 15 and 16.

Perfect numbers: If the sum of all the factors excluding itself (but including 1) is equal to the number itself, then we call such number as a perfect number. E.g. 6, 28

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August 22, 2019

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