# Number System Quiz 2

The Post is about the Number System Quiz from Mathematics of Intermediate Part-I (First Year). There are 20 multiple-choice questions about the Number System. 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 $a,b,c \in R$ if $a=b, b=c \Rightarrow a=c$, then it is ______ property

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

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

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

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

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

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

8. If $a < b$ then

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

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

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

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

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

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

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

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

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

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

19. The multiplicative inverse of 0 is

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

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