# Number System Quiz 2

The Post is about the Number System Quiz from Mathematics of Intermediate Part-I (First Year). Let us start with the Online Number System Quiz with Answers.

MCQs Mathematics covering the topic of the Number system for the preparation of Intermediate mathematics.

1. For $a,b,c \in R$, $a+c=b+c \Rightarrow a=b$, then it is ______ property

2. The multiplicative inverse of 0 is

3. The set $\{1\}$ has closure property with respect to

4. If $a < b$ then

5. For all $a,b \in R$, $a=b \Rightarrow b=a$ is called ________ property

6. For all $a\in R$, $a=a$ is ____________ property

7. For $a,b,c \in R$, and $a>b, b>c \Rightarrow a>c$, then it is ________ property

8. For $a,b,c \in R$ if $a=b, b=c \Rightarrow a=c$, then it is ______ property

9. The set $\{1,-1\}$ is closed with respect to

10. $a(b+c-d)=ab+ac-ad$ is _______ property

11. For $a,b,c \in R$, if $a<b$ and $c>0$, then which one is true

12. If $n$ is an integral multiple of 4, then $(i)^n$ is equal to

13. For $a,b,c \in R$, $a=b \Rightarrow a+c=b+c$, then it is ______ property

14. If $n$ is an even integer, then $(i)^n$ is equal to

15. If $a>0$ and $b<0$, then

16. If $n$ is an odd number then $(i)^n$ is equal to

17. If $a$ is any non-zero real number, then its multiplicative inverse is

18. For $a,b,c \in R$, $a=b\Rightarrow ac=bc$, then it is _______ property

19. For $a,b,c \in R$, if $a>b$ and $c<0$, then

20. If $\frac{a}{b}=\frac{ka}{kb}$, $k\ne 0$, this rule is called

A numeral system is a way of expressing numbers; that is, it is a mathematical writing system or notation used to represent the numbers of a given set consistently by using either digits or other symbols. The same sequence of symbols may represent different numbers in different numeral systems.

### Number System as Decimal System

The commonly used number system is the decimal positional numeral system. The decimal refers to 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 to construct all numbers.

In mathematics courses you have heard about number systems of whole numbers and real numbers, however, in the context of computer systems, the other types of number systems are (i) The decimal number system, (ii) The binary number system, (iii) The octal number system and, (iv) The hexadecimal number system.

### MCQs Number System Quiz

• The multiplicative inverse of 0 is
• If $a$ is any non-zero real number, then its multiplicative inverse is
• For all $a\in R$, $a=a$ is _________ property
• For all $a,b \in R$, $a=b \Rightarrow b=a$ is called property
• For $a,b,c \in R$ if $a=b, b=c \Rightarrow a=c$, then it is property
• For $a,b,c \in R$, $a=b \Rightarrow a+c=b+c$, then it is property
• For $a,b,c \in R$, $a+c=b+c \Rightarrow a=b$, then it is property
• For $a,b,c \in R$, $a=b\Rightarrow ac=bc$, then it is _ property
• For $a,b,c \in R$, and $a>b, b>c \Rightarrow a>c$, then it is property
• For $a,b,c \in R$, if $a0$, then which one is true
• For $a,b,c \in R$, if $a>b$ and $c<0$, then If $a>0$ and $b<0$, then
• The set ${1,-1}$ is closed with respect to
• The set ${1}$ has closure property with respect to
• $a(b+c-d)=ab+ac-ad$ is property
• If $a < b$ then
• If $\frac{a}{b}=\frac{ka}{kb}$, $k\ne 0$, this rule is called
• If $n$ is an even integer, then $(i)^n$ is equal to
• If $n$ is an odd number then $(i)^n$ is equal to
• If $n$ is an integral multiple of 4, then $(i)^n$ is equal to