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 Partial Fractions Questions 2

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The post is about MCQS Partial Fractions Questions with Answers. There are 20 multiple-choice questions from Chapter 5 Partial Fractions Intermediate Mathematics Part 1. Let us start with the MCQs Partial Fractions Questions Quiz with Answers now.

Online MCQs Partial Fractions Questions with Answers

1. The function of the form $f(x) = \frac{p(x)}{q(x)}$ where $q(x)\ne 0$  and $p(x), q(x)$ are polynomials, is called

 
 
 
 

2. An equation which holds good for all values of the variable is called

 
 
 
 

3. Partial fractions of $\frac{x^2+1}{(x-1)(x+1)}$ are of the form

 
 
 
 

4. An equation in which two algebraic expressions are equal for particular values of the variable is called

 
 
 
 

5. Expressing a rational function as a sum of partial fractions is called

 
 
 
 

6. A conditional equation is also called

 
 
 
 

7. Which is ta reducible factor

 
 
 
 

8. The partial fractions of $\frac{1}{(x+1)(x-1)}$ are

 
 
 
 

9. If $\frac{x^2 – 10x + 13}{(x-1)(x^2-5x+6)} = \frac{A}{x-2} + \frac{B}{x-3} + \frac{C}{x-1}$ then $C$ is equal to

 
 
 
 

10. Conditional equation $2x+3=0$ holds when $x$ is equal to

 
 
 
 

11. If $\frac{2x^2+x^2-x-3}{x(2x+3)(x-1)} = \frac{A}{x} + \frac{B}{2x+3} + \frac{C}{x-1} $ then $A$ is equal to

 
 
 
 

12. Partial fraction of $\frac{1}{x^2-1} =$

 
 
 
 

13. Number of partial fractions of the fraction $\frac{1}{x(x-1)^3$ are

 
 
 
 

14. Partial fraction of $\frac{x^2+1}{x^3+1}$ will be of the form

 
 
 
 

15. If $\frac{1}{(x+1)^2(x^2-1)} = \frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{(x+1)^2} + \frac{D}{(x+1)^3}$ then $A=$

 
 
 
 

16. Types of rational fractions are

 
 
 
 

17. The quotient of two polynomials $\frac{P(x)}{Q(x)}, \,\,Q(x)\ne 0$ with no common factor is called

 
 
 
 

18. A quadratic factor which can not be written as a product of linear factors with real coefficients is called

 
 
 
 

19. Partial fraction of $\frac{1}{x(x+1)}$ are of the form

 
 
 
 

20. A fraction in which the degree of numerator is greater than or equal to the degree of denominator is called

 
 
 
 

MCQs Partial Fractions Questions with Answers

  • If $\frac{x^2 – 10x + 13}{(x-1)(x^2-5x+6)} = \frac{A}{x-2} + \frac{B}{x-3} + \frac{C}{x-1}$ then $C$ is equal to
  • If $\frac{2x^2+x^2-x-3}{x(2x+3)(x-1)} = \frac{A}{x} + \frac{B}{2x+3} + \frac{C}{x-1} $ then $A$ is equal to
  • Partial fractions of $\frac{x^2+1}{(x-1)(x+1)}$ are of the form
  • If $\frac{1}{(x+1)^2(x^2-1)} = \frac{A}{x-1} + \frac{B}{x+1} + \frac{C}{(x+1)^2} + \frac{D}{(x+1)^3}$ then $A=$
  • A quadratic factor which can not be written as a product of linear factors with real coefficients is called
  • Which is ta reducible factor
  • Partial fraction of $\frac{1}{x^2-1} =$
  • Partial fraction of $\frac{x^2+1}{x^3+1}$ will be of the form
  • Number of partial fractions of the fraction $\frac{1}{x(x-1)^3$ are
  • Conditional equation $2x+3=0$ holds when $x$ is equal to
  • The quotient of two polynomials $\frac{P(x)}{Q(x)}, \,\,Q(x)\ne 0$ with no common factor is called
  • The partial fractions of $\frac{1}{(x+1)(x-1)}$ are
  • The function of the form $f(x) = \frac{p(x)}{q(x)}$ where $q(x)\ne 0$  and $p(x), q(x)$ are polynomials, is called
  • A fraction in which the degree of numerator is greater than or equal to the degree of denominator is called
  • Types of rational fractions are
  • A conditional equation is also called
  • An equation which holds good for all values of the variable is called
  • Expressing a rational function as a sum of partial fractions is called
  • An equation in which two algebraic expressions are equal for particular values of the variable is called
  • Partial fraction of $\frac{1}{x(x+1)}$ are of the form
Online MCQs Partial Fractions Questions with Answers

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R and Data Analysis

 

 

 

Partial Fractions Quiz with Answers 1

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The post is about MCQS on Partial Fractions Quiz with Answers. There are 20 multiple-choice questions from Chapter 5 Intermediate Mathematics Part 1. Let us start with the Partial Fractions Quiz with Answers now.

Please go to Partial Fractions Quiz with Answers 1 to view the test

Online Partial Fractions Quiz with Answers

  • An open sentence formed by using the sign ‘=’ is called a/an
  • If an equation is true for all values of the variable then it is called
  • If an equation is true only for particular values of the variable then it is
  • $(x+3)(x+4) = x^2 + 7x + 12$ is a/an
  • $\sin^2 \theta + \cos^2 \theta$ is a/an
  • To express a single rational function as a sum of two or more single rational functions is called
  • When a single rational fraction is expressed as a sum of two or more single rational fractions, then each single fraction is called
  • The value of $a$ when $(a+b)^2 = a^2 + 2ab+b^2$ is an identity
  • $\begin{vmatrix}7x & 3x \ 2x^2 & p\end{vmatrix} = 7xp – 6x^3$ is a/an
  • The quotient of two polynomials $\frac{p(x)}{q(x)}, \,\, q(x) \ne 0$ is called
  • A fraction $\frac{p(x)}{q(x)}$ is a proper fraction if
  • a fraction $\frac{p(x)}{q(x)}$ is an improper rational fraction if
  • A mixed form of the fraction is
  • When a rational fraction is separated into partial fractions, the result is always
  • The partial fractions of $\frac{x^2 – 10x + 13}{(x+1)(x^2-5x+6)}$ are of the form
  • $\frac{x^2-5x+7}{(x-1)(x^2-1)} = \frac{A}{(x-1)} +$ ———–
  • The number of partial fraction of $\frac{x^3}{x(x+1)(x^2-1)}$ are
  • The number of partial fraction of $\frac{x^5}{x(x+1)(x^2-4)}$ are
  • The number of partial fraction of $\frac{x^4}{x^3-1}$ are
  • If $\frac{7x+25}{(x+3)(x+4)} = \frac{A}{x+3} + \frac{B}{x+4}$, then $B$ is equal to
Partial Fractions Quiz with Answers

MCQs in Statistics

R and Data Analysis

MCQs Partial Fractions Quiz 2025

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This post is about the MCQS Partial Fractions Quiz with Answers. It contains a list of quizzes on Partial Fractions, each containing 20 multiple-choice questions from Chapter 5 Intermediate Mathematics Part 1 (Punjab Board Text Book of Algebra and Trigonometry Class XI, Mathematics FSc Part 1 or HSSC-I). Click the link below for the MCQS Partial Fractions with Answers.

MCQs Partial Fractions Quiz with Answers

MCQs Partial Fraction Questions 2MCQs Partial Fraction Quiz 1
MCQs Partial Fractions Quiz with Answers

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MCQs in Statistics

Data Science Quiz 1

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The post is about the Data Science Quiz. There are 20 multiple-choice type questions covering topics related to data science, statistics, data science software, exploratory data analysis, machine learning, etc. Let us start with the Data Science Quiz now.

Please go to Data Science Quiz 1 to view the test

Online Data Science Quiz with Answers

  • Data science is
  • The broad areas of statistics are:
  • Descriptive analysis includes which activities
  • Statistical inference is defined as:
  • Predictions are typically evaluated by:
  • Randomization of a treatment in a design is used for:
  • The two broad categories of machine learning
  • Supervised machine learning algorithms focus on
  • A way to obtain generalizability of an ML algorithm
  • Traditional statistical approaches often differ from ML approaches by
  • What role does software engineering play in data science?
  • What is the benefit of building software packages for data analysis?
  • When should you consider developing a software package?
  • A negative outcome from a data science experiment would include
  • What are some examples of languages designed for data analysis?
  • What are the two goals of exploratory data analysis?
  • Which part is NOT part of the data analysis process?
  • The outputs of a data science experiment often include
  • Some ways we can declare success in data science include
  • An analyst on your team engages in exploratory data analysis of a dataset. The EDA inspires him to ask a new question about the data so he begins the data analysis process on this same dataset and goes through the 5 phases. What is wrong with this approach?
Data Science Quiz with Answers

Statistics for Data Analysts