Mathematics Part1

Online MCQs about First Year Mathematics Part1 and Part2, Intermediate Mathematics Part1 multiple choice questions with 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. If set $A$ has 2 elements and $B$ has 4 element then number of elements in $A \times B$ are

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

7. The inverse of a line is

 
 
 
 

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

 
 
 
 

9. The truth set of a contradiction is

 
 
 
 

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

 
 
 
 

11. The truth set of a tautology is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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