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Number System Formula PDF For Bank Exams

Number System Formula PDF is attached to this Number System Formula for Bank Exams article. This Number System Formula PDF for Bank Exams will help you to realize What is Number System and solve various types of Number System Problems easily with speed and accuracy by using the Number System Formula. This Number System Formula PDF covers the important Number System Formula for banks and the Number System Formula for SSC CGL. So candidates shall download the Number System Formula PDF for Bank Exams which is given below in this Number System Formula article for their future reference. 

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What is Number System?

Here we have added the definition of the What is Number System in this Number System Formula post. So here you will get to know what is Number System in Bank Exams and other Government Exams. A system of different types of numbers, their relationship, and the rules governing them is called a number system. The candidates can go through this Number System Formula for Bank Exams article to know What is Number System is and to know more about the Number System Formula. 

Types of Number System

• Natural Numbers

                    N = {1,2,3,...}.

• Whole Numbers

                   W = {0,1,2,3,...}

• Integers

                    I = {...,-4,-3,-2,-1,0,1,2,3,4,...}

1. Positive Integers  I+  = {1,2,3,4,...}
2. Negative Integers I- = {-1,-2,-3,-4,...}

• Even Numbers 

                   2, 4, 6, 8, 10, 12,...etc

• Odd Numbers 

                   1, 3, 5, 7, 9, 11, 13, 15, 17, 19,...etc.

• Prime Numbers  

                   2, 3, 5, 7, 11, 13, ...etc

• Composite Numbers  

                   4, 6, 8, 9, etc.

• Co-primes 

                   (7, 9),(15, 16)

• Rational Numbers 

                   3/5, 7/9, 8/9, 13/15 etc.

• Irrational Numbers 

                   √2, √3, √7, etc.

• Real Numbers 

                    7/9, 2, 5, ,  8/9 etc.

Number System Formula For Bank Exams

Here we have provided the different Number System Formula for Bank Exams. Aspirants can download the Number System Formula PDF for Bank Exams which is attached to this Number System Formula article to gain knowledge about what is number system and to enhance their preparation level. You can maximize your scores by knowing what is number system and the number system formula in the aptitude section of the bank exams and other competitive exams. 

Number System Formulas:

1. 1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
2. (12 + 22 + 32 + ..... + n2) = n ( n + 1 ) (2n + 1) / 6
3. (13 + 23 + 33 + ..... + n3) = (n(n + 1)/ 2)2
4. Sum of first n odd numbers = n2
5. Sum of first n even numbers = n (n + 1)

Mathematical Formulas:

1. (a + b)(a - b) = (a2 - b2)
2. (a + b)2 = (a2 + b2 + 2ab)
3. (a - b)2 = (a2 + b2 - 2ab)
4. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
5. (a3 + b3) = (a + b)(a2 - ab + b2)
6. (a3 - b3) = (a - b)(a2 + ab + b2)
7. (a3 + b3 + c3 - 3abc) = (a + b + c)(a2 + b2 + c2 - ab - bc - ac)
8. When a + b + c = 0, then a3 + b3 + c3 = 3abc
9. (a + b)n = an + (nC1)an-1b + (nC2)an-2b2 + … + (nCn-1)abn-1 + bn

Practice Number System questions - Free PDF

Number System Formula For Bank Exams - FAQs

Q. What is number system?

A.  A system of different types of numbers, their relationship, and the rules governing them is called a number system.

Q. What are the number series formula?

A.

• 1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
• (12 + 22 + 32 + ..... + n2) = n ( n + 1 ) (2n + 1) / 6
• (13 + 23 + 33 + ..... + n3) = (n(n + 1)/ 2)2
• Sum of first n odd numbers = n2
• Sum of first n even numbers = n (n + 1)

Q. What are Integers? 

A. Integers I = {...,-4,-3,-2,-1,0,1,2,3,4,...}