Number System Quizzes

Online MCQs from Chapter 1 Number System of Intermediate Mathematics with Questions and Answers

Important MCQs On Sets and Functions, Groups Quiz 5

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The pose concerns MCQs on Sets Functions and Groups from Chapter 2 of First Year Mathematics. There are 20 multiple-choice questions in the quiz. Let us start with MCQs on Sets and Functions Quiz.

Online Multiple Choice Questions about “Sets Functions and Groups” from First Year Mathematics Book

1. The function $f=\{(x, y) | y = x\} $ is

 
 
 
 

2. If set $A$ has 2 elements and $B$ has 4 element then number of elements in $A \times B$ are

 
 
 
 

3. The truth set of a contradiction is

 
 
 
 

4. Every subset of Cartesian product $A \times B$ is called

 
 
 
 

5. The inverse of a function Exists only if it is

 
 
 
 

6. If $y=\sqrt{x}, \, x \ge 0$ is a function then its inverse is

 
 
 
 

7. The function $f=\{(x, y) | y = mx + c\}$, $m$ and $c$ are real number is

 
 
 
 

8. The truth set of a tautology is

 
 
 
 

9. If $p$ is a proposition, then the truth set of $\sim p$ is

 
 
 
 

10. The empty set $\{ \}$ being the subset of $A \times B$ is

 
 
 
 

11. Logical form of $A \cup (B \cap C) = (A \cup B) \cap (A\cup B)$ is

 
 
 
 

12. If $f: A \rightarrow B$ is a function then it is an into function if

 
 
 
 

13. A ($1-1$) and onto function is also called ————— Function.

 
 
 
 

14. A function $f: A \rightarrow B$ is called an onto if

 
 
 
 

15. A function $f: A \rightarrow B$ is ($1-1$) if

 
 
 
 

16. The function $f=\{(x, y) | y = ax^2 + bx + c, a\ne 0\}$ is

 
 
 
 

17. A function $f: A \rightarrow B$ is ($1-1$) an onto if

 
 
 
 

18. An onto function is also called ————— function.

 
 
 
 

19. A ($1-1$) function is also called ————– function.

 
 
 
 

20. The inverse of a line is

 
 
 
 

MCQs on Sets and Functions, Groups from First Year Mathematics

  • If $p$ is a proposition, then the truth set of $\sim p$ is
  • The truth set of a tautology is
  • The truth set of a contradiction is
  • Logical form of $A \cup (B \cap C) = (A \cup B) \cap (A\cup B)$ is
  • If set $A$ has 2 elements and $B$ has 4 element then number of elements in $A \times B$ are
  • Every subset of Cartesian product $A \times B$ is called
  • The empty set ${ }$ being the subset of $A \times B$ is
  • If $f: A \rightarrow B$ is a function then it is an into function if
  • A function $f: A \rightarrow B$ is called an onto if
  • A function $f: A \rightarrow B$ is ($1-1$) if
  • A function $f: A \rightarrow B$ is ($1-1$) an onto if
  • A ($1-1$) function is also called ————– function.
  • An onto function is also called ————— function.
  • A ($1-1$) and onto function is also called ————— Function.
  • The inverse of a function Exists only if it is
  • The function $f={(x, y) | y = mx + c}$, $m$ and $c$ are real number is
  • The function $f={(x, y) | y = ax^2 + bx + c, a\ne 0}$ is
  • The inverse of a line is
  • If $y=\sqrt{x}, \, x \ge 0$ is a function then its inverse is
  • The function $f={(x, y) | y = x} $ is
MCQs on Sets and Functions, Groups First Year Mathematics

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Important Sets Functions and Groups Quiz 2

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The multiple choice question about the Sets Functions and Groups Quiz from Intermediate Part-I (Chapter 2 Sets Functions and Groups Quiz). This is a Test from Chapter 2 of Intermediate Mathematics. Let us start with the Sets Functions and Groups Quiz.

Please go to Important Sets Functions and Groups Quiz 2 to view the test

Sets Functions and Groups Quiz

Sets Functions and Groups Quiz Part – I Intermediate

  • The set builder from of $B-A$ is equal to
  • If $A\cap B = \phi$ then $A$ and $B$ are
  • If $A \cap B \ne \phi$ then $A$ and $B$ are
  • In set-builder form, $A^c$ is written as
  • If a set consists of those elements of $A$ which are not in$B$, then the set is
  • Let $A$ and$B$ are two non empty sets and $U$ be a universal set, then $A-B$
  • If $A\cap B=\ne \phi$, i.e. sets $A$ and $B$ are disjoint, then $n(A\cup B)$ is equal to
  • If $A\cap B\ne \phi$ i.e. sets $A$ and $B$ are overlapping, then $n(A\cup B)$ is equal to
  • If $A \subseteq B$ then $n(A\cup B)$ is equal to
  • If $B\subseteq A$ then $n(A\cup B)$ is equal to
  • If $A\cap b=\phi$ then $n(A \cap B)$ is equal to
  • If $A \cap B=\phi$ i.e. $A$ and $B$ are overlapping sets, then $n(A\cap B)$
  • If $A \subseteq B$ then $n(A\cap B)$ is equal to
  • If $B \subseteq A$ then $n(A \cap B)$ is equal to
  • If $A$ and $B$ are disjoint sets i.e. $A\cap B=\phi$, then $n(A\,\, B)$ is equal to
  • If $A$ and $B$ are disjoint sets i.e. $A\cap B=\phi$ then $n(B-A)$
  • If $A \subseteq B$ then $n(A-B)$ is equal to
  • If $B\subseteq A$ then $n(B-A)$ is equal to
  • If $B \subseteq A$, $A-B\ne \phi$, then $n(A-B)$
  • Which of the following is true

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Top First Year Number System Quiz

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This post contains all the MCQs about the First Year Number System Quiz from the Mathematics Book of Intermediate Part-I (First Year). Each Quiz contains 20 multiple-choice questions from the number system.

A numeral system is a way used to express numbers; that is, it is a mathematical writing system or notation that is 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. Click the links below to start with First Year Number System Quiz.

First Year Number System Quiz

MCQs Number System 7
MCQs Number System 6MCQs Number System 5MCQs Number System 4
MCQs Number System 3MCQs Number System 2MCQs Number System 1
First Year Number System Quiz

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:

  • The decimal number system
  • The binary number system
  • The octal number system and
  • The hexadecimal number system

Natural Numbers

One can use Natural numbers to count the number of subjects or objects. Natural numbers are also called counting numbers. The numbers $1,2,3,\cdots$ are all natural numbers.

Whole Numbers

The numbers $0,1,2,⋯$ are all whole numbers. Note that all the whole numbers except $0$ are natural numbers.

Number Line

The whole numbers are represented by points on a line called the number line. For this purpose, draw a straight line on a page. Choose a point on the line and label it as 0. Starting with 0, mark off equal intervals of any suitable length. Label the marked points as $1,2,⋯$, as shown in the Figure below. The figure below represents real numbers since it includes the negative number (numbers on the left of 0 in this diagram are called negative numbers).

Real Number Line

Also, See MCQs about Basic Statistics