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.
- 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.
- 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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