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Number System : Aptitude Test (200 Questions with Explanation)

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- Formulas:-
- 0, 1, 2, 3, ----9. are called digits.
- 10, 11, 12,----- are called Number.
- Natural number (N) :- Counting numbers are called natural numbers.
  Example:- 1, 2, 3,---etc. are all natural numbers. minimum natural number 1 and maximum natural
  number ∞
- Whole numbers (W) :- All counting numbers together with zero from the set of whole numbers
  Example:- 0, 1, 2, 3, 4, ------ are whole number.
- Integers (Z) :- All counting numbers, 0 and -ve of counting numbers are called integers.
  Example:- -∞---------, -3, -2, -1, 0, 1, 2, 3, -------∞
- Rational Numbers (Q) :- A Rational Number is a real number that can be written as a simple fraction
  Example:- {p/q/p,q∈Z}
- Irrational NUmbers :- An Irrational Number is a real number that cannot be written as a
  simple fraction.
  Example:- √
- Even numbers :- A number divisible by 2 is called an even number.
  Example:- 0, 2, 4, 6, - - - - - - - - -
- Odd numbers :- A number not divisible by 2 is called an odd number.
  Example:- 1, 3, 5, 7, - - - - - -
- Composite Numbers :- Numbers greater than 1 which are not prime, are called composite numbers.
  Example:- 4, 6, 8, 9, 10, - - - -. 6 -> 1,2,3,6.
- Prime Numbers:- A number greater than 1 having exactly two factors, namely 1 and itself is called
  a prime number.
  Upto 100 prime numbers are:
  2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 71, 73, 79, 83, 89, 97
- Co-prime Numbers:- Two natural numbers a and b are said to be co-prime if their HCF is 1.
  Example:- (21, 44), (4, 9), (2, 3), - - - - -
- Twin prime numbers :- A pair of prime numbers (as 3 and 5 or 11 and 13) differing by two are
  called twin prime number.
  Example:- The twin pair primes between 1 and 100 are
  (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73).
- Face value:- Face value is the actual value of the digit.
  Example:- In the number 7635, the "7" has a face value of 7, the face value of 3 is 3 and so on
- Place value:- The value of where the digit is in the number, such as units, tens, hundreds, etc.
  Example:- In 352, the place value of the 5 is "tens"
  Place value of 2 * 1 = 2;
  Place value of 5 * 10 = 50;
  Place value of 3 * 100 = 300.