Mathematics Part1

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

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.

Online Multiple Choice Questions with Answers fro Chapter 2 Mathematics “Sets Functions and Groups”

1. For a non-empty sets $S$, $(P(S), U)$ is

 
 
 
 

2. An operation which is performed on a single number is called

 
 
 
 

3. Squaring a number is

 
 
 
 

4. If a set $A$ has 2 elements and $B$ has 3 elements, then different function in $A\times B$ are

 
 
 
 

5. The set $\{1, -1, i, -i\}$ is closed w.r.t.

 
 
 
 

6. If $W$ is the set of whole numbers then $(W, +)$ is

 
 
 
 

7. Which of the following is not a binary operation

 
 
 
 

8. If a set $S$ has $n$ elements, then different relations is $A$

 
 
 
 

9. The set of odd numbers is not closed w.r.t

 
 
 
 

10. The inverse function of $\{(x, y)|y = mx+c\}$ is

 
 
 
 

11. For a non-empty sets $S$, (P(S), \cap)$ is

 
 
 
 

12. If $Z$ is a set of integers, then $(Z, *)$ is

 
 
 
 

13. Let $S$ be an empty set and * is a binary operation. If closure property holds in $S$, then $S$ is

 
 
 
 

14. If $Q$ is the set of rational numbers, then $(Q, *)$ is

 
 
 
 

15. If a set $A$ has 2 elements and $B$ has 3 elements then different relations in $A\times B$ are

 
 
 
 

16. If a set $A$ has $m$ elements and $B$ has $n$ elements, then relations in $A\times B$

 
 
 
 

17. Any subset of $G \times G$ is called

 
 
 
 

18. If $N$ is a set of natural number then $(N, +)$ is

 
 
 
 

19. If $R$ is the set of real numbers, then ($R, +)$ is

 
 
 
 

20. For a non-empty set $G$, a function from $G\times G \rightarrow G$ is called

 
 
 
 

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
MCQs on matrices and Determinants quiz

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MCQs Matrices and Determinants Questions 4

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Online Multiple-Choice Questions from Chapter 3 of First Year Mathematics (Intermediate Part-I). The Matrices and Determinants Questions test contains 20 MCQ-type questions with Answers. Let us start with the Matrices and Determinant Questions Quiz.

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Matrices and Determinants Questions Test with Answers

matrices and Determinants Questions quiz First year Mathematics
  • Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. Then minor of $a_{ij}$ is equal to
  • Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. The cofactor of $a_{ij}$ is equal to
  • For any square matrix $A$. It is always true that
  • For any square matrix $A$, $|A|$ is equal to
  • If all entries of a square matrix of order 3 are multiplied by $k$ then the value of $|kA|$ is equal to
  • For any non-singular matrix $A$, it is true that
  • For any non-singular matrix $A$, it is true that
  • For any non-singular matrices $A$ and $B$, it is true that
  • A square matrix $A=[a_{ij}]$ for which all $a_{ij}=0$, $i>j$ then $A$ is called
  • A square matrix $A=[a_{ij}]$ for which all $a_{ij} = 0$, $i<j$ then $A$ is called
  • A triangular matrix is always a
  • Any square matrix $A$ is called a singular if
  • A square matrix $A$ is symmetric if
  • a square matrix $A$ is skew symmetric if
  • A square matrix $A$ is Hermitian if
  • A square matrix $A$ is skew Hermitian if
  • The main diagonal elements of a skew-symmetric matrix must be
  • In echelon form of a matrix, the first non-zero entry is called
  • The additive inverse of a matrix exists only if it is
  • The multiplicative inverse of a matrix exists only if it is

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