Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, Python, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

MCQs Functions and Limits 1

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Online MCQs about Functions and Limits from Chapter 1 of Intermediate Mathematics Book 2.

MCQs about Functions and Limits from Intermediate Mathematics Second Year Book.

1. If $g(x) = x^3 – x$ it is

 
 
 
 

2. $\lim_{x\rightarrow 0} (1+3x)^{1/x}=$

 
 
 
 

3. If $h(x) = x+2$ and $j(x)=4-x^2$ then $(hj)(x)$ is given by

 
 
 
 

4. $\lim_{x \rightarrow 0}\, a^t – 1/t=$

 
 
 
 

5. $\lim _{x \rightarrow \infty } e^{1/x} – 1/e^{1/x} + 1 = $

 
 
 
 

6. Let $P(x)=a_nx^n + a_{n-1}x^{n-1} + a_{n-2}X^{n-2} + \cdots + a_1 x+a_0$ where $a_1, a_2 \in R$ is called

 
 
 
 

7. If $A=\{1,2\}$ and $B=\{a, b\}$ and $R_1$ is $\{(1, a), (2, b)\}$ then $F_1^{-1}$ is

 
 
 
 

8. If $x=a^y$ then $y=$

 
 
 
 

9. $Cosh^2 x + Sinh^2 x =$

 
 
 
 

10. If $(fx)= x \sqrt{x^2-4}$ then domain of $f(x)$ is

 
 
 
 

11. The relation $x^2y + xy^2 -3 =0$

 
 
 
 

12. If a point$(a, b)$ lies on the graph of the function which of the following points must lie on the graph of the inverse of $f$

 
 
 
 

13. If $f(x)=2x + 1 $ and $g(x)=x^2+2x-1$ then $(f-g)(x)$ is given by

 
 
 
 

14. If $f(x)=f(-x)$ then it is called

 
 
 
 

15. A function $A: X \rightarrow Y$ defined by $A(\propto) = a $ is called function

 
 
 
 

16. The range of $f(x)=x^3$ is

 
 
 
 

17. $\lim_{x \rightarrow \infty}\, 5x^2 – 3/7x^3 -1 =$

 
 
 
 

18. $\lim_{x \rightarrow 0} Sin \frac{px}{qx} =$

 
 
 
 

19. If $f(x)=2$ for all real numbers then $f(x+2)=$

 
 
 
 

20. If $p(x) = a_n x^n + a_{n-1}x^{n-1} + \cdots a_1x + a_0$ is a continuous function of degree $n$ then $\lim_{x\rightarrow c} P(x)=$

 
 
 
 

Online MCQs Functions and Limits Chapter 1 Mathematics

  • Let $P(x)=a_nx^n + a_{n-1}x^{n-1} + a_{n-2}X^{n-2} + \cdots + a_1 x+a_0$ where $a_1, a_2 \in R$ is called
  • The range of $f(x)=x^3$ is
  • A function $A: X \rightarrow Y$ defined by $A(\propto) = a $ is called function
  • If $x=a^y$ then $y=$
  • If $f(x)=f(-x)$ then it is called
  • $Cosh^2 x + Sinh^2 x =$
  • If $p(x) = a_n x^n + a_{n-1}x^{n-1} + \cdots a_1x + a_0$ is a continuous function of degree $n$ then $\lim_{x\rightarrow c} P(x)=$
  • If $f(x)=2x + 1 $ and $g(x)=x^2+2x-1$ then $(f-g)(x)$ is given by
  • If $h(x) = x+2$ and $j(x)=4-x^2$ then $(hj)(x)$ is given by
  • If $g(x) = x^3 – x$ it is
  • If a point$(a, b)$ lies on the graph of the function which of the following points must lie on the graph of the inverse of $f$
  • $\lim_{x \rightarrow 0} Sin \frac{px}{qx} =$
  • If $(fx)= x \sqrt{x^2-4}$ then domain of $f(x)$ is
  • If $f(x)=2$ for all real numbers then $f(x+2)=$
  • $\lim_{x\rightarrow 0} (1+3x)^{1/x}=$
  • The relation $x^2y + xy^2 -3 =0$
  • If $A={1,2}$ and $B={a, b}$ and $R_1$ is ${(1, a), (2, b)}$ then $F_1^{-1}$ is
  • $\lim_{x \rightarrow 0}\, a^t – 1/t=$
  • $\lim {x \rightarrow \infty } e^{1/x} – 1/e^{1/x} + 1 = $ $\lim{x \rightarrow \infty}\, 5x^2 – 3/7x^3 -1 =$
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MCQs Sets Functions and Groups

Best Sets Functions and Groups Quizzes

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The post contains a list of Online MCQs about “Sets Functions and Groups” from Chapter 2 of First Year (Intermediate) Mathematics Book Part-I. Click the links below for the “Sets, Functions, and Groups” Quizzes.

SEts Functions and Groups Quizzes

Sets, Functions, and Groups 7
Sets Functions and Groups 6Sets, Functions, and Groups 5Sets, Functions, & Groups 4
Set, Functions, & Groups 3Set Functions and Groups 2Set Functions and Groups 1
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Sets Functions and Groups Quizzes 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.

Please go to MCQs Sets Functions and Groups 1 to view the test

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
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MCQs Matrices and Determinants 3

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The quiz contains MCQs matrices from the First Year Mathematics Books. 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 property does not hold in matrix multiplication?

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