Mathematics Part1

Online MCQs about First Year Mathematics Part1 and Part2, Intermediate Mathematics Part1 multiple choice questions with answers

Important MCQs Sets Functions and Groups Quiz 7

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Online MCQs Sets Functions and Groups from Chapter 2 of First-Year Mathematics. There are 20 multiple-choice questions from “Sets Functions and Groups”. Let us start with the MCQs Set Functions and Groups test.

Online multiple choice questions about Sets Functions and Groups Quiz with answers for first year mathematics chapter 2

1. The number of elements in a set $B$ is 4, then the number of elements in $P(B)$

 
 
 
 

2. If $S=\[1, 2, 3, 4, 5, 6\}$ then $n(S)$ equals

 
 
 
 

3. If $A=\phi$ then $P(A)$ is

 
 
 
 

4. If $S$ is a non-empty set, then the identity element in $P(S)$ w.r.t. $U$

 
 
 
 

5. The identity element in (C, *) is

 
 
 
 

6. The set of first elements of ordered pairs in a relation is called its

 
 
 
 

7. Identity element in $(C, +)$ is

 
 
 
 

8. Every function is a

 
 
 
 

9. A set of integers is a group w.r.t

 
 
 
 

10. If $A \subseteq B$ then $A \cap B$ is equal to

 
 
 
 

11. If $A=\{1, 2, 3\}$, B=\{3, 4\}$, then $A-B$ is

 
 
 
 

12. The graph of a linear function is

 
 
 
 

13. A system of linear equations involves at least ————– equations(s).

 
 
 
 

14. $f$ is function from $A$ to $B$. The domain of $f$ is equal to

 
 
 
 

15. A Set of all possible subsets of a set $S$ is called

 
 
 
 

16. The number of all subsets of a set having three elements is

 
 
 
 

17. The inverse of any element of a group is

 
 
 
 

18. If $A$ and $B$ are disjoint sets then

 
 
 
 

19. The set of non-zero real numbers w.r.t. multiplication is

 
 
 
 

20. If $S$ is a non-empty set, then the identity element in $P(S)$$ w.r.t. $\cap$

 
 
 
 

MCQs Sets Functions and Groups Quiz with Answers

  • If $S$ is a non-empty set, then the identity element in $P(S)$ w.r.t. $U$
  • If $S$ is a non-empty set, then the identity element in $P(S)$$ w.r.t. $\cap$
  • The set of non-zero real numbers w.r.t. multiplication is
  • Identity element in $(C, +)$ is
  • The identity element in (C, *) is
  • The set of first elements of ordered pairs in a relation is called its
  • If $A$ and $B$ are disjoint sets then
  • If $S=[1, 2, 3, 4, 5, 6]$ then $n(S)$ equals
  • If $A=\phi$ then $P(A)$ is
  • The graph of a linear function is
  • A system of linear equations involves at least ————– equations(s).
  • If $A \subseteq B$ then $A \cap B$ is equal to
  • If $A={1, 2, 3}$, B={3, 4}$, then $A-B$ is
  • The number of elements in a set $B$ is 4, then the number of elements in $P(B)$
  • The number of all subsets of a set having three elements is
  • A Set of all possible subsets of a set $S$ is called
  • A set of integers is a group w.r.t
  • $f$ is function from $A$ to $B$. The domain of $f$ is equal to
  • Every function is a
  • The inverse of any element of a group is
MCQs Sets Functions and Groups

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Important Sets Functions and Groups MCQs 6

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Online multiple choice questions about Sets Functions and Groups MCQs Quiz from Chapter 2 of Intermediate First-Year Mathematics with Answers. There are 20 MCQs type questions from Chapter 2 “Sets Functions and Groups“. Let us start the MCQs Quiz.

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Sets Functions and Groups MCQs Quiz

Sets Functions And Groups MCQs Test with Answers

  • If a set $A$ has 2 elements and $B$ has 3 elements then different relations in $A\times B$ are
  • If a set $A$ has 2 elements and $B$ has 3 elements, then different function in $A\times B$ are
  • If a set $A$ has $m$ elements and $B$ has $n$ elements, then relations in $A\times B$
  • If a set $S$ has $n$ elements, then different relations is $A$
  • The inverse function of ${(x, y)|y = mx+c}$ is
  • An operation which is performed on a single number is called
  • Squaring a number is
  • Which of the following is not a binary operation
  • For a non-empty set $G$, a function from $G\times G \rightarrow G$ is called
  • Any subset of $G \times G$ is called
  • The set ${1, -1, i, -i}$ is closed w.r.t.
  • The set of odd numbers is not closed w.r.t
  • Let $S$ be an empty set and * is a binary operation. If closure property holds in $S$, then $S$ is
  • If $N$ is a set of natural number then $(N, +)$ is
  • If $W$ is the set of whole numbers then $(W, +)$ is
  • For a non-empty sets $S$, (P(S), \cap)$ is
  • For a non-empty sets $S$, $(P(S), U)$ is
  • If $Z$ is a set of integers, then $(Z, *)$ is
  • If $R$ is the set of real numbers, then ($R, +)$ is
  • If $Q$ is the set of rational numbers, then $(Q, *)$ is

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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.

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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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MCQs on Matrices and Determinants 5

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The quiz is about the MCQs on Matrices and Determinants from First Year Mathematics with Answers. There are 20 multiple-choice questions from the Mathematics book of part 1. Let us start with the MCQs on Matrices and Determinants Quiz.

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MCQs on Matrices and Determinants First-Year Mathematics

  • If $\begin{bmatrix} a & b \ 0 & 7\end{bmatrix}= \begin{bmatrix}2&3 \ 1 &-9 \end{bmatrix}$ then
  • The number of non-zero rows in the echelon form of a matrix is called
  • If $A$ is any square matrix then $A+A^t$ is a
  • If $A$ is any square matrix then $A-A^t$ is a
  • If $A$ is any square matrix then $A+(\overline{A})^t$ is a
  • If $A$ is any square matrix then $A-(\overline{A}^t$ is a
  • If $A$ is a symmetric (skew-symmetric) then $A^2$ must be
  • In a homogeneous system of linear equations, the solution (0, 0, 0) is
  • If $AX=O$ then $X=$?
  • If a system of linear equations has no solution at all, then it is called a/an
  • The value of $\lambda$ for which the system $x+2y=4$; $2x+\lambda y = -3$ does not possess the unique solution.
  • If the system $x+2y=0$; $2x+\lambda y=0$ has non-trivial solution, then $\lambda$ is
  • If $\begin{bmatrix}2x+3& 1 \ -3 & 4 \end{bmatrix} = \begin{bmatrix} -1+x & 1 \ -3 & 4\end{bmatrix}$ then $x=$?
  • The cofactor $A_{22}$ of $\begin{bmatrix} 1 & 2 & 4 \ -1 & 2 & 5 \ 0 & 1 & -1\end{bmatrix}$ is
  • If $A=[a_{ij}]_{3\times 3}$ then $I_3\, A$ is equal to
  • If all the entries the entries of a row of a square matrix $A$ are zero, then $|A|$ equals
  • If $\begin{vmatrix}x & 4 \ 5 & 10\end{vmatrix}=0 \Rightarrow x$ equals
  • The inverse of the unit matrix is
  • Transpose of a row matrix is
  • If any matrix $A$ has different numbers of rows and columns then $A$ is
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