Number System Aptitude Questions With Answers
The system by which we study different types of numbers, their relationship and the rules governing them are said the number system. In the Hindu-Arabic system, we use the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. These symbols are digits numbers. Of these ten digits, 0 is answer a small digit, while the rest are digits important digits.
Number System Aptitude Questions With Answers
Numbers
Number System Aptitude Questions With Answers skills mathematical symbol representing a number in a systematic way is said a number represented by a set of digits.
How to write a number?
To write a number, we put numbers from right to left in the space provided as ten, hundreds, thousand, ten thousand, lakh, ten lakhs, crore, ten crores.
Let's see how the number 308761436 is represented,
It reads digits "Thirty crores eighty seven lakhs sixty one thousand four hundred thirty thirty six."
The face and position values of the digits in a number
Face value
Numerically, the face value of a digit is the value of the digit regardless of its position in the digits.
For example, in number 486729, the face value of 8 is 8, the face value of 7 is 7, the face value of 6 is 6, the face value of 4 is 4 and so on.
Place (local) value
In numerical form, the positional value of a digit changes with the change of its digits position.
In a number,
Spatial value of unit digit = (digits in one place) x100
Ten digit space value = (ten digit digit) x 101
Hundreds of digit position value = (hundreds of digits) x 102
Thousand digit position value = (digits in thousandths position) x 103
and so on.
The position value of a number is also said the local value of the number.
For example, in the number 15683,
The place value of 5 = the place value of one thousand digits
Such as = (Digits in thousandths place) x 103
= 5 x 103
= 5000
Number System Aptitude Questions Pdf
Types of numbers
There are different types of numbers as follows,
1. Natural Numbers
Natural numbers are computational numbers and are denoted by N,
I.e. N = {1,2,3
All natural numbers are positive
Zero is not a natural number, so 1 is the smallest natural number.
2. Total numbers
All natural numbers from a set of explanation integers and zero and these are denoted by W,
I.e. W = {0, 1, 2, 3… ..
Zero is the smallest integer
Integers are also known explanation as non-negative integers.
3. Integers
Integers and negative numbers form a set of integers and are denoted by I,
I.e. I = …… …… -4, -3, -2, -1, 0, 1, 2, 3, 4
The are of the following two types
Positive integers
Natural numbers are called positive integers and are denoted by I +,
I.e. I + = (1, 2, 3, 4….
Negative integers
Solve The negation of natural numbers is said negative integers and is denoted by I-.
I.e. I- = (-1, -2, -3, -4,….
"0 is not a + ve or -ve integer"
4. Even numbers
The number of counts divided by 2 is told the even number.
For example, 2, 4, 6, 8, 10, 12 ...... etc.
The unit position of each even number becomes 0, 2, 4, 6 or 8.
5. Odd numbers
An uncounted number divided (Divisibility) by 2 is called an odd number.
For example, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, . etc.
The unit position of each odd number is 1, 3, 5, 7 or 9.
6. Prime numbers
The counting number is called the prime number, when it is exactly 1 and divided by it.
For example, 2, 3, 5, 7, 11, 13. etc.
The prime even number is only 2.
The prime number is always greater than 1.
1 is not a prime number; So, the lowest odd prime number is 3.
Each prime number greater than 3 can be denoted by 6n + 1, where n is the integer.
How to test if number is prime?
If the P number is given, then
Find the total number x> >p
Take all prime numbers less than or equal to x
If none of these exactly divides P, then P is prime, otherwise P is non-prime.
For example let P = 193, apparently 14> 193
The prime numbers up to 14 are 2, 3, 5, 7, 11, 13.
None of these properly divided 193.
So, 193 is a prime number.
7. Mixed numbers
Mixed numbers are non-prime natural numbers. They must have at least one factor other than 1 and so on.
For example, 4, 6, 8, 9, etc.
The mixed number can be both odd and even numbers.
1 is not a prime or a compound number.
8. Co-primes
The two natural numbers are said to be co-primes, although their common division is 1.
For example, (9, 8) (12, 16), etc.
Co-prime numbers may or may not be prime.
Each pair of serial numbers is co-prime.
9. Rational numbers
The number expressed in the form p / q is called the rational number. Here, p and q are intege and q 0
For example
7/5, 2/9, 6/4, 13/19,. etc.
10. Irrational numbers
Such as Numbers that easy improve cannot be expressed in p / q form are call irrational numbers, where p, q are integers and q ≠ 0.
For example √2, √3, √7, √11, etc.
is an irrational number
22
7
Is not the actual value of, but it is its approximate value.
Similarly Non-periodic infinite decimal fractions are said irrational numbers.
11. Actual numbers
Similarly Real numbers are rational and irrational numbers. They are denote by R,
For example, 5/ 9, √2, √7, Ï€, 3 /7, etc.
What are the topics in number system aptitude?
Such as Most often, freshers it consists of Completely natural numbers, integers, integers, rational numbers, od & even numbers and prime & mixed numbers. Divisibility Divisibility Completely Description understand Some examples tests Divisibility can also be perform on real, Divisibility imaginary and complex numbers.
How do you solve a number system question?
Similarly The sum of all the first n natural numbers = example: 1 + 2 +3 + ... + 105 =
Similarly The sum of the first n odd numbers = example: 1 + 3 + 5 + 7 = = 16 (since there are four odd numbers)
Hence The sum of the first n even numbers = n (n + 1).
Such as The first n is the sum of the squares of natural numbers = 6
n (n + 1) (2n + 1)
The first n is the sum of the cubes of natural numbers = {n(n+1)
2
n(n+1)2}
2
What kind of questions are asked in aptitude tests?
Some of the most unit common aptitude multiple tests exercises check methods quiz are explanation list below:
- Hence Numerical Reasoning.
- Verbal Reasoning.
- Inductive Reasoning.
- Diagrammatic Reasoning.
- Logical Reasoning.
- Critical Thinking.
- Situational Judgement.
- Mechanical Reasoning.
Which of the number system is divisible by 2 *?
Such as Divisible by 2 - A number is divisible by 2 if its unit number is 0,2,4,6 or 8.
For Example: 64578 is divisible by 2 or not? Solution: Step 1 - Unit digit 8. Result - 64578 divided by 2.
Hence Number System Questions Pdf
Practicing Number System Aptitude Questions tcs
Such as Number System Questions Pdf Detailed Answer is a mathematical value use to calculate and measure objects and to perform Divisibility practice check difference arithmetic calculations. difference Examination Numbers digit can have different digit categories such as natural numbers, intege, based rational and irrational numbers True or false, sum Number System Questions Pdf objective choice entrance and so on.
Similarly, in the competitive interview there are different types of number systems that have different features such as binary number system, octal number system, sum shortcut easily difference decimal unit number system and hexadecimal learn and download Divisibility about Number System Questions Pdf.
