Mathematics Part1

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

MCQs Sets Functions and Groups 1

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The post contains “MCQs Sets Functions and Groups” from the Intermediate Part-I mathematics book. The Quiz contains Multiple Choice Questions from sets, properties of sets, functions, and groups. Let us start with MCQs Sets Functions and Groups.

MCQs Intermediate Mathematics Part-I, Chapter 2 (Sets, Functions and Groups)

1. If a set $S$ has $m$ elements then number of subsets in $S$ are

 
 
 
 

2. The set $N$ of natural numbers and $O$ of odd numbers are

 
 
 
 

3. The set of all subsets of a set is called

 
 
 
 

4. The set builder form of $A \cup B$ is equal to

 
 
 
 

5. The set builder form of $A-B$ is equal to

 
 
 
 

6. If $n(S)=m$ then $nP(S)$ is equal to

 
 
 
 

7. The set $N$ and $Z$ are

 
 
 
 

8. Tabular form of $\{ x | x \in Q, x = – x\}$ is

 
 
 
 

9. If $S=\{ \}$ then order of set $S$ is

 
 
 
 

10. The set of real numbers between 1 and 3 is

 
 
 
 

11. If (1 – 1) correspondence can be established in two sets $A$ and $B$, then it must be true that

 
 
 
 

12. If  a set $B$ has one proper subset only then $S$ will be

 
 
 
 

13. If a set $S$ has $n$ elements then number of elements in $P(S)=$

 
 
 
 

14. Which of the following is true

 
 
 
 

15. The set of all elements under consideration is called

 
 
 
 

16. The set builder form of $A \cap B$ is equal to

 
 
 
 

17. If $A \subseteq B$ and $B \subseteq A$ then which is true

 
 
 
 

18. If a set $S$ has no proper subset then $B$ will be

 
 
 
 

19. The Power set of an empty set has

 
 
 
 

20. If $A  \subseteq B$ then

 
 
 
 

MCQs Sets Functions and Groups

  • If $A \subseteq B$ and $B \subseteq A$ then which is true
  • If (1 – 1) correspondence can be established in two sets $A$ and $B$, then it must be true that
  • The set $N$ of natural numbers and $O$ of odd numbers are
  • The set $N$ and $Z$ are
  • Which of the following is true
  • If a set $S$ has $m$ elements then number of subsets in $S$ are
  • If $A  \subseteq B$ then
  • If a set $S$ has no proper subset then $B$ will be
  • If  a set $B$ has one proper subset only then $S$ will be
  • If a set $S$ has $n$ elements then number of elements in $P(S)=$
  • The set of all subsets of a set is called
  • If $S={ }$ then order of set $S$ is
  • The Power set of an empty set has
  • If $n(S)=m$ then $nP(S)$ is equal to
  • The set of all elements under consideration is called
  • The set of real numbers between 1 and 3 is
  • Tabular form of $\{ x | x \in Q, x = – x\}$ is
  • The set builder form of $A \cup B$ is equal to
  • The set builder form of $A \cap B$ is equal to
  • The set builder form of $A-B$ is equal to
MCQs Sets Functions and Groups

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MCQs Matrices and Determinants 3

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The quiz contains MCQs matrices from the First Year Mathematics Book. There are 20 MCQs from Chapter 3 (Matrices and Determinants). online MCQs Matrices and Determinants from Intermediate Mathematics Part-1. Let us start with the Quiz MCQs Matrices.

Please go to MCQs Matrices and Determinants 3 to view the test

A matrix is a rectangular array of numbers arranged in a sequence and enclosed in brackets. A matrix is a rectangular array of mathematical elements arranged into rows and columns according to algebraic rules.

MCQs Matrices and Determinants

A pair of parentheses $\begin{pmatrix}a&b\\c&d\end{pmatrix}$or a square bracket $\begin{bmatrix}a&b\\c&d\end{bmatrix}$ is used to write matrices (plural of matrix). A matrix is usually denoted by capital letters such as $A, B, C,$ and $X, Y,$ and $Z$. The matrices are used to solve the simultaneous equations.

The horizontal lines of elements of a matrix are called rows of the matrix. The vertical lines of elements of a matrix are called the columns of a matrix. The number of rows and columns of a matrix is called the order of the matrix.

MCQs Matrices and Determinants

  • If $[a_{ij}]=A$ and $[b_{ij}]=B$ then $A=B$ if and only if
  • For any two matrices $A$ and $B$, $(A+B)^t$ is equal to
  • $(AB)^t$ is equal to
  • $(kAB)^t=$
  • Let $A$ be any matrix and $n$ is an integer then $A+A+A+\cdots+$ to $n$ terms
  • Two matrix $A$ and $B$ are conformable for multiplication $AB$ if
  • If $A$ is a matrix of order $m\times n$ and $B$ is a matrix of order $n\times q$, then order of $AB$ is
  • If $A$ is of order $2\times 4$ and $B$ of order $4\times 2$ then order of $AB$
  • If $A$ is of order $2\times 3$ and $B$ of order $4\times 2$ then order of $BA$
  • If $AB=BA$ then which one is true
  • For any square matrix $A=\begin{bmatrix} a & b \ c & d \end{bmatrix}$, $|A|$ is equal to
  • If $A=[-7]$ then $|A|$ is equal to
  • If $A$ is any square matrix of order 3, then $|kA|$ is equal to
  • If $A$ is any square matrix and $AB=BA=I$ then $B$ is called
  • If A+B=B+A=0$ then $B$ is called
  • If Adjoint of $A=\begin{bmatrix} -1&-2\\3 & 4 \end{bmatrix}$ then matrix $A=$
  • If $A$ is a non-singular matrix then $A^{-1}$
  • If $AX=B$ then $X$ is equal to
  • An inverse of a matrix exists if it is
  • Which of the properties does not hold in matrix multiplication?

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MCQs Matrix and Determinants 2

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The post is about MCQs Matrix and Determinants from Chapter 3 of the First Year Mathematics book. There are 20 Multiple Choice Questions. Let us start with the MCQs Matrix and Determinants Quiz.

Online MCQs about Matrix and Determinants from Mathematics of Intermediate first year.

Please go to MCQs Matrix and Determinants 2 to view the test

A matrix is a rectangular array of numbers arranged in a sequence and enclosed in brackets. A matrix is a rectangular array of mathematical elements arranged into rows and columns according to algebraic rules.

MCQs Matrix and Determinants

A pair of parentheses $\begin{pmatrix}a&b\\c&d\end{pmatrix}$or a square bracket $\begin{bmatrix}a&b\\c&d\end{bmatrix}$ is used to write matrices (plural of matrix). A matrix is usually denoted by capital letters such as $A, B, C,$ and $X, Y,$ and $Z$. The matrices are used to solve the simultaneous equations.

The horizontal lines of elements of a matrix are called rows of the matrix. The vertical lines of elements of a matrix

MCQs Matrix and Determinants

  • The word matrix was first used by
  • A matrix of order $1\times n$ is called
  • The numbers used in rows or columns of a matrix are called
  • Who used the theory of matrices in linear transformation?
  • The order of a matrix having $m$ rows and $n$ columns is
  • If the Matrix $A$ has $m$ rows and $n$ columns such that $m=n$ then $A$ is called
  • For equality of two matrices
  • The principal diagonal of a square matrix is also called
  • If $A=[a_{ij}]{m \times n}$ be a square matrix of order $n$, then $a{11}, a_{22}, a_{33}, \cdots, $a_{nn}$ forms
  • Let $A[a_{ij}]{m\times n}$, $a{ij}=0 \,\, \forall i\ne j$ and $a_{ij} = k(k\ne 0)\,\, \forall i=j$ then matrix $A$ is called
  • If $A=\begin{bmatrix} a_{11} & a_{12} & a_{13}\ a_{21} & a_{22} & a_{23}\ a_{31} & a_{32} & a_{33}\ \end{bmatrix}$ then the entries of leading diagonal are
  • Let $A=[a_{ij}]{n \times n}$, if $a_{ij}=0\,\, \forall \,\, i\ne j$ and $a_{ij} =1\,\, \forall \,\ i=j$ then $A$ is said to be
  • Interchanging of rows into columns (or columns into rows) is called
  • The transpose of a matrix $A$ is only possible if the matrix is
  • If $|A|=0$ then $A$ is called
  • Which of the following results is true for a square matrix?
  • If $A=\begin{bmatrix}-a & -b \ c & d\end{bmatrix}$ then adjoint of $A$
  • If $\begin{bmatrix}=x+3 & 1\ -3 & 3y-4\end{bmatrix} = \begin{bmatrix}2 &1\ -3 & 2\end{bmatrix}$ then $x$ and $y$ are
  • Let $A=[a_{ij}]_{m \times n}$ is diagonal matrix if
  • Which of the following results is valid

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