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Quantitative Aptitude Number System Study Material

A golden opportunity for Bank exams aspirants. Thousands of posts in SBI and other Banks. Out of five papers in the SBI clerk exam, Quantitative Aptitude plays major role. Arithmetic and Data Interpretation questions will be there in this paper. Arithmetic is the maths, which we use in our day-to-day life. As arithmetic chapters are there up to 10th class only all the aspirants inclusive of non-maths might have studied this. By understanding all the chapters thoroughly and with a lot of practice it is not difficult to solve all the questions of the paper. Also important is simplifications. Out of 40 questions in Q.A., 20 are simplification questions. Students need to mug up tables up to 20, squares of numbers up to 25 and cubes of numbers up to 15 to make simplifications easy. They also learn Speed Maths for solving simplification questions in seconds without pen. All the chapters in arithmetic have to be practiced thoroughly. Let us see all the chapters of arithmetic in detail. 

Digit: 0 to 9 are the digits. 
Number: By using digits we write numbers. 
Face Value: The real value of the digit.
Place Value: The value of the digit according to the place.
e.g.: In 2799, the face value of 7 is '7' and the place value is '700'.

Classification of Numbers:
Odd Numbers: Numbers which are not divisible by 2 
E.g. 1,3,5,7,9,11,13,15,17,19...........................

Even Numbers: Numbers which are divisible by 2
E.g. 2,4,6,8,10,12,14,16,18..............................

Natural Numbers: All counting numbers 
E.g.: N = {1, 2, 3,4,5,6,7,..... ........}
Sum of first 'n' Natural numbers is n(n+1)/2
Sum of squares of First 'n' natural numbers is n(n+1)(2n+1)/6
Sum of cubes of First 'n' natural numbers is [n(n+1)/2]^2

Whole Numbers: 0 and all natural numbers
E.g.: W = { 0, 1, 2, 3,4,5,.... ...}

Integers: Natural numbers, zero and negative of natural numbers
E.g.: I = { ........, -3, -2, -1, 0, +1, +2, +3, .......}

Rational Numbers: These are of the form of p/q, where q π 0
E.g.: etc Q=1/4,2/3,0,-3,.........

Irrational Numbers: Can't be written in p/q form, where q ≠ 0
E.g.: root 2, root 7, root 2+ 6,π etc

Composite Numbers: Numbers having more than two factors

Prime Numbers: Numbers divisible by one and the number itself or numbers having only two factors.
E.g.: 2, 3, 5, 7, 11, 13,17,19,23... ...... etc

**Some points about prime numbers**
# All prime numbers end with 1, 3, 7 or 9 except 2 and 5.
# 2 is the only even prime number.
#' 1' is neither a prime nor composite number. It is a unitary.
# There are 25 prime numbers up to 100.

Twin prime numbers: The difference between two prime numbers is '2'.
E.g.: 3 - 5, 5 - 7, 11 - 13, 17 - 19 etc

Co prime numbers: Numbers not having any common factors.
E.g.: 3, 5 and 8 are co primes to each other.
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