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 Algebraic Manipulation 9th Class

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The post is about Online MCQs about Algebraic Manipulation from Chapter 6 of 9th Class Mathematics. There are 20 multiple-choice questions from Chapter 6 of 9th Class Mathematics. Let us start with MCQs Algebraic Manipulation with Answers.

MCQs Algebraic Manipulation 9th Class Quiz

Online MCQs about Algebraic Manipulation from Chapter 6 of 9th Class Mathematics Book.

1. The square root of $a^2-2a+1$ is

 
 
 
 

2. HCF of $x-2$ and $x^2+x – 6$ is

 
 
 
 

3. Simplify $\left(\frac{2x+y}{x+y}-1\right) + \left(1-\frac{x}{x+y}\right)$

 
 
 
 

4. LCM of $a^2+b^2$ and $a^4-b^4$ is

 
 
 
 

5. HCF of $a^3  +b^3$ and $x^2-ab+b^2$ is

 
 
 
 

6. Simplify $\frac{a^2+5a-14}{a^2-3a-18} \times \frac{a+3}{a-2}=$

 
 
 
 

7. HCF of $x^2-5x+6$ and $x^2 – x – 6$ is

 
 
 
 

8. HCF = ?

 
 
 
 

9. The square root of $x^4 + \frac{1}{x^4}+2$  is

 
 
 
 

10. LCM = ?

 
 
 
 

11. How many methods are used to find the HCF of given expression?

 
 
 
 

12. LCM $\times$ HCF =

 
 
 
 

13. HCF of $x^2+3x+2$, $x^2+4x+3$, $x^2+5x+4$ is

 
 
 
 

14. $\frac{a+b}{a^2-b^2} \div \frac{a^2-ab}{a^2-2ab+b^2}$

 
 
 
 

15. Simplify $\frac{a^3 -b^3}{a^4-b^4} + \left(\frac{a^2+ab+b^2}{a^2+b^2}\right)=$

 
 
 
 

16. The product of two algebraic expressions equals the _________ of their HCF and LCM.

 
 
 
 

17. Simplify $\frac{a}{9a^2 – b^2} + \frac{1}{3a-b}$

 
 
 
 

18. Any unknown expression may be found if _______ of them are known by using the relation

 
 
 
 

19. HCF of $5x^2y^2$ and 20x^3y^3$ is

 
 
 
 

20. HCF of a $a^2-b^2$ and $a^3-b^3$ is

 
 
 
 

21. What should be added to complete the square of $x64 + 64$?

 
 
 
 

22. The HCF of $x^2-4$, $x^4+4x+4$, and $2x^2+x-6$ is

 
 
 
 

23. HCF of $p^3q – pq^3$ and $p^5q^2 -p^2q^5$ is

 
 
 
 

24. LCM of $15x^2$, $45xy$, and $30xyz$ is

 
 
 
 

25. If $A=\frac{a+b}{a-b}$, them $\frac{1}{A}$ is

 
 
 
 

26. How many methods are used to find the square root of a given expression?

 
 
 
 

27. The square root of $4x^2 -12x +9$ is

 
 
 
 

  • HCF of $p^3q – pq^3$ and $p^5q^2 -p^2q^5$ is
  • HCF of $5x^2y^2$ and 20x^3y^3$ is
  • HCF of $x-2$ and $x^2+x – 6$ is
  • HCF of $a^3  +b^3$ and $x^2-ab+b^2$ is
  • HCF of $x^2-5x+6$ and $x^2 – x – 6$ is
  • HCF of a $a^2-b^2$ and $a^3-b^3$ is
  • HCF of $x^2+3x+2$, $x^2+4x+3$, $x^2+5x+4$ is
  • LCM of $15x^2$, $45xy$, and $30xyz$ is
  • LCM of $a^2+b^2$ and $a^4-b^4$ is
  • The product of two algebraic expressions equals the ____________ of their HCF and LCM.
  • Simplify $\frac{a}{9a^2 – b^2} + \frac{1}{3a-b}$
  • Simplify $\frac{a^2+5a-14}{a^2-3a-18} \times \frac{a+3}{a-2}=$
  • Simplify $\frac{a^3 -b^3}{a^4-b^4} + \left(\frac{a^2+ab+b^2}{a^2+b^2}\right)=$
  • Simplify $\left(\frac{2x+y}{x+y}-1\right) + \left(1-\frac{x}{x+y}\right)$
  • The square root of $a^2-2a+1$ is
  • What should be added to complete the square of $x64 + 64$?
  • The square root of $x^4 + \frac{1}{x^4}+2$  is
  • The square root of $4x^2 -12x +9$ is
  • LCM =?
  • HCF =?
  • LCM $\times$ HCF =
  • Any unknown expression may be found if _ of them are known by using the relation
  • The HCF of $x^2-4$, $x^4+4x+4$, and $2x^2+x-6$ is
  • $\frac{a+b}{a^2-b^2} \div \frac{a^2-ab}{a^2-2ab+b^2}$
  • If $A=\frac{a+b}{a-b}$, them $\frac{1}{A}$ is
  • How many methods are used to find the HCF of a given expression?
  • How many methods are used to find the square root of a given expression?
MCQs Algebraic Manipulation Chapter 6, 9th Class

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Online MCQs Pedagogy Quizzes

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Online MCQs Pedagogy Quizzes for Preparation of NTS, KPPSC, FPSC, PPSC, SPSC, CSS, PMS, and Educators Test. These MCQs are also useful for primary school teachers (PST), subject specialists (SST), physical education teachers (PET), Drawing masters, and Arabic teacher tests. Click the link below to start with the MCQs Pedagogy Quiz.

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Functions and Limits Quiz Second Year 3

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The post is about the MCQs Functions and Limits Quiz from Chapter 1 of Mathematics Second Year Book. Let us start with MCQs Functions and Limits Quiz.

Please go to Functions and Limits Quiz Second Year 3 to view the test

MCQS Functions and Limits Quiz with Answers

  • If $y$ is expressed in terms of a variable $x$ as $y=f(x)$, called
  • $x=at^2$, $y=2at$ represents ——-.
  • If $f:X\rightarrow Y$, then $Y$ is called
  • $\lim\limits_{x\rightarrow a} \frac{x^3-a^3}{x-a}=$
  • A function $f(x)$ is said to be continuous at $x=c$ if
  • A function $I:x \rightarrow x$ defined as $I(x)=x$ is called ——–.
  • If $f:X\rightarrow Y$ is a function, then $y=f(x), x \in X$ called ——-.
  • If $\frac{f(x)+f(-x)}{2}=0$, then $f(x)$ is ——-.
  • If $f(x)=\frac{x}{x^2-4}$, $f(x)$ is not defined at $x=$?
  • $\lim\limits_{x\rightarrow 0} \frac{3^{3x}-1}{x}=$ ——–.
  • The range of a constant function is ——–.
  • $f(x)=sin\,x + cos\, x$ is ——– function.
  • $sin\,h^{-1}$\, x =$ ——
  • The perimeter $P$ of a square as a function of its Area $A$ is
  • The are of circumscribed $n$-sides Polygon as $n\rightarrow \infty$ approaches are of ——-.
  • $\lim\limits_{x\rightarrow \infty} \frac{a}{x^p}=$ ——–.
  • $log\, x$ is not defined at $x=$ ——–.
  • $\lim \limits_{x \rightarrow \pi} \frac{sin(\pi – x)}{x-\pi}=$——–.
  • $cos h^2x – sin h^2x =$——–.
  • The function $f(x)=\frac{1}{x+1}$ is discontinuous at ——–.
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MCQs Econometrics

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The post contains MCQs about Econometrics, which cover the topics of Correlation and Regression analysis, dummy variables, multicollinearity, heteroscedasticity, autocorrelation, and many other topics. Let’s start with the MCQs Econometrics test

MCQs Econometrics Quizzes

MCQs Econometrics Quiz 5
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Econometrics

Econometrics is the branch of economics that applies statistical techniques for the analysis of economic data. The econometricians try to test hypotheses by using different statistical techniques and they try to forecast future trends.

  1. Regression Analysis: A fundamental tool in econometrics used for estimating the relationship between a dependent variable (DV) and one or more independent variables (IVs). Both linear regression and nonlinear regression models are implied in economics.
  2. Time Series Analysis: It deals with analyzing data collected over time. Time Series Analysis includes techniques for detecting trends, and seasonal patterns, and also forecasting future values.
  3. Panel Data Analysis: Panel data refers to data that is collected over multiple cross-sectional units and time periods. Panel data analysis techniques allow economists to account for both time series and cross-sectional variation.
  4. Hypothesis Testing: Econometricians use statistical tests to assess the significance of relationships and parameters estimated in their models. Common tests include t-tests, F-tests, and likelihood ratio tests.
  5. Instrumental Variables: It is used to address endogeneity in regression analysis. Endogeneity occurs when the independent variables are correlated with the error term in a regression model. The instrumental variables methods aim to find variables that are correlated with the independent variables but not with the error term, thereby providing a way to estimate causal relationships.
  6. Time Series Econometrics: Time series econometrics focuses specifically on analyzing data that varies over time. This includes techniques such as autoregressive integrated moving average (ARIMA) models, vector autoregression (VAR), and cointegration analysis.
  7. Model Evaluation and Selection: The selection of a model is performed based on its performance. Model evaluation and selection techniques help to determine whether a model fits the data well and whether it is useful for prediction or inference.
  8. Multivariate Analysis: Multivariate regression, factor analysis, and principal component analysis are used to perform analysis on multiple variables.
MCQs Econometrics Quiz with Answers

In short, econometrics is a specialized branch of statistics that mainly focuses on economic data. It is used to test economic theories, estimate the parameters, and make forecasts.

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