Muhammad Imdad Ullah

First-year pre-engineering mathematics multiple choice questions online examination. The quiz is about the MCQS Quadratic Equation online examination. The quiz will help First-year (Intermediate) Pre-Engineering mathematics students prepare for the examination. There are 20 questions with answers. Let us start with the Online MCQs Quadratic Equation Quiz.

First-year (Intermediate) Pre-Engineering mathematics examination preparation.
Pakistan All boards Pre-Engineering Mathematics MCQs Online Test

1. The product of all four fourth roots of unity is

 $ 0 $

 $ -1 $

 Unity

 None

2. The complex cube roots of the unit are __________ each other.

 Conjugate of each other

 Equal to each other

 Additive inverse of

 None of these

3. $(-1 + \sqrt{-3})^5 + (-1 – \sqrt{-3})^5$ is equal to

 $ -1 $

 $ -32 $

 $ 0 $

 $ 32 $

4. $16\omega^4 + 16 \omega^8$

 $ -16 $

 $ 16 $

 $ -1 $

 $ 0 $

5. The equation in which variable quantity occurs in the exponent is called

 Exponential equation

 Exponential function

 Quadratic equation

 Reciprocal equation

6. The sum of all four fourth roots of unity is

 Unity

 $ -1 $

 0

  None

7. The sum of all four fourth roots is 16 is

 $ 1 $

 $ -16 $

 $ 0 $

 $ 16 $

8. The equation $ax^2 + bx + 9 =0$ will be quadratic if

 $ a \ne 0 $

 $b =$ any real number

 $ a = b = 0 $

 $ a=0, b \ne 0 $

9. The quadratic formula for solving the equation $ax^2 + bx + c =0$ is $(a\ne 0)$

 $ x = – b \pm \sqrt{ \frac{b^2 + 4ac} {2a} } $

 $ x = – b \pm \sqrt{ \frac{b^2 – 4ac} {2a} }$

 $ x = – b \pm \frac{\sqrt{b^2 – 4ac} } {2a} $

 $ x = – b \pm \frac{\sqrt{b^2 + 4ac} } {2a} $

10. The equations involving radical expressions of the variable are called

 Radical equations

 Reciprocal equations

 Quadratic equations

 Exponential equations

11. The convert $ax^{2n} + bx^n + c =0 (a\ne 0) $ into quadratic form, the correction substitution

 $ y = x^{2n} $

 $ y = x^n $

 $ y = x ^{-n} $

 $ y = \frac{1}{x} $

12. The cube roots of unity are

 $ 1, \frac{-1 +i\sqrt{3} }{2}, \frac{-1- i\sqrt{3}}{2} $

 $ 1, \frac{-1- i\sqrt{3} }{2}, \frac{1- i\sqrt{3}}{2} $

 $ 1, \frac{-1 +i\sqrt{3} }{2}, \frac{1+i\sqrt{3}}{2} $

 $ 1, \frac{-1 – i\sqrt{3} }{2}, \frac{1- i\sqrt{3}}{2} $

13. Solution set of the equation $x^2 – 4x + 4 = 0$ is

 $ \{ -2\} $

 $ \{ 2\} $

 $ \{2, -2 \} $

 $ \{ 4, -4\} $

14. The product of all four fourth roots of 81 is

 $ 81 $

 $ 1 $

 $ 0 $

 $ -81 $

15. The cube roots of $-1$ are

 $ -1, \frac{-1-i\sqrt{3}}{2}, \frac{-1+i\sqrt{3}}{2} $

 $ -1, \frac{-1-i\sqrt{3}}{2}, \frac{1+i\sqrt{3}}{2} $

 $ -1, \frac{1+i\sqrt{3}}{2}, \frac{1-i\sqrt{3}}{2} $

 $ -1, \frac{-1+i\sqrt{3}}{2}, \frac{1-i\sqrt{3}}{2} $

16. To convert $ 4^{1+x} + 4^{1-x} =10$ into quadratic, the substitution is

 $ y = 4^ x $

 $ y= 4^{1+x} $

 $ y= 4^{-x} $

 $ y = 4^{1-x} $

17. The equation which remains unchanged if $x$ is replaced by $\frac{1}{x}$, then it is called

 Exponential function

 Exponential equation

 Reciprocal equation

 Quadratic equation

18. The sum of all cube roots of 64 is

 $ -64 $

 $ 64 $

 $ 0 $

 $ 1 $

19. The product of all cube roots of $-1$ is

 $ 0 $

 $ 1 $

 $ -1 $

 None

20. The roots that satisfy the radical free equation but not the radical equation are called

 Extraneous roots

 Exact roots

 Radical roots

 Original roots

 Loading …

An equation of the form $ax^2 + bx + c = 0$ is called a Quadratic Equation, where $a, b,$ and $c$ are all real numbers and $a\ne0$. This generic form of Quadratic Equations is a second-degree equation in variable $x$.

MCQs Quadratic Equations with Answers

• The equation $ax^2 + bx + 9 =0$ will be quadratic if
• Solution set of the equation $x^2 – 4x + 4 = 0$ is
• The quadratic formula for solving the equation $ax^2 + bx + c =0$ is $(a\ne 0)$
• The convert $ax^{2n} + bx^n + c =0 (a\ne 0) $ into quadratic form, the correction substitution
• The equation in which variable quantity occurs in the exponent is called
• To convert $ 4^{1+x} + 4^{1-x} =10$ into quadratic, the substitution is
• The equation which remains unchanged if $x$ is replaced by $\frac{1}{x}$, then it is called
• The equations involving radical expressions of the variable are called
• The roots that satisfy the radical free equation but not the radical equation are called
• The cube roots of unity are
• The cube roots of $-1$ are
• The sum of all cube roots of 64 is
• The product of all cube roots of $-1$ is
• $16\omega^4 + 16 \omega^8$
• $(-1 + \sqrt{-3})^5 + (-1 – \sqrt{-3})^5$ is equal to
• The sum of all four fourth roots of unity is
• The product of all four fourth roots of unity is
• The sum of all four fourth roots is 16 is
• The product of all four fourth roots of 81 is
• The complex cube roots of the unit are _______ each other

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This post concerns the Online MCQs sequence and series from Mathematics Part I. A sequence is an ordered set of numbers formed according to some definite rule. Let us with MCQs Sequence and Series, mathematics Class 11 Quiz with answers.

Please go to Important MCQS Sequence and Series 1 Class 11 to view the test

A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, a sequence is denoted by $\{a_n\}$ where $n\in N$.

Some examples of sequence are:

• $1,2,3,\cdots$
• $2, 4, 6, 8, \cdots$
• $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$

The term $a_n$ is called the general term or $n$th term of a sequence. If all numbers of a sequence are real, then it is called a real sequence. If the domain of a sequence is a finite set, then the sequence is finite otherwise the sequence is infinite. An infinite sequence has no last term.

If the terms of a sequence follow a certain pattern, then it is called a progression:

• Arithmetic Progression (AP)
  A sequence $\{a_n\}$ is an Arithmetic Sequence or Arithmetic Progression if the difference $a_n – a_{n-1}$ is the same for all $n \in N$ and $n>1$.
• Geometric Progression (GP)
  A sequence $\{a_n\}$ in which $\frac{a_n}{a_{n-1}}$ is same non-zero number for al l$n\in N$ and $n>1$ is called Geometric Sequence or Geometric Progression.
• Harmonic Progression (HP)
  A Harmonic Progression is a sequence of numbers whose reciprocals form an Arithmetic Progression. A general form of Harmonic Progression is $\frac{1}{a_1}, \frac{1}{a_1+d}, \frac{1}{a_1+2d}, \cdots$, where $a_n=\frac{1}{a_1+(n-1)d}$

MCQs Sequence and Series Mathematics Class 11

• An arrangement of numbers according to some definite rule is called
• A sequence is also known as
• A sequence is a function whose domain is a set of
• A sequence whose range is R i.e. set of real numbers is called
• If $a_n={n+(-1)^n}$, then $a_{10}$
• The last term of an infinite sequence
• The next term of the sequence $1, 2, 12, 40, \cdots$ is
• If $a_n-a_n-1=n+1$ and $a_4=14$ then $a_5=$?
• If $a_n=n\,a_{n-1}$, $a_1=1$ then $a_4=$?
• A sequence ${a_n}$ in which $a_n-a_n$ is the same number for all $n \in N$, $n>1$, is called
• The general term of an A.P. is
• If $a_n=5-3n+2n^2$, then $a_{2n}=$?
• If $a_{n-2}=3n-11$, then $a_4=$?
• If $n$th term of an A.P. is $3n-1$ then 10th term is
• $n$th term of the series $\left(\frac{1}{3}\right)+ \left(\frac{5}{3}\right)^2+\left(\frac{7}{3}\right)^2+\cdots$
• Arithmetic mean between $c$ and $d$ is
• If $a_{n-1}, a_n, a_{n+1}$ are in A.P. then $a_n=$?
• The Arithmetic mean between $\sqrt{2}$ and $3\sqrt{2}$ is
• The sum of terms of a sequence is called
• Forth partial sum of the sequence ${n^2}$ is

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The Post is about the MCQs Number System from Mathematics of Intermediate Part-I (First Year). Let us start with the Online MCQS Number System with Answers.

Please go to Important MCQs Number System 1 to view the test

A numeral system is a way of expressing numbers; that is, it is a mathematical writing system or notation used to represent the numbers of a given set consistently by using either digits or other symbols. The same sequence of symbols may represent different numbers in different numeral systems.

Decimal Number System

The commonly used number system is the decimal positional numeral system. The decimal refers to 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 to construct all numbers. In the decimal number system, there are a total of ten numbers/symbols. All other numbers such as 10, 11, 12, …, are all made from these 10 symbols/numbers.

In mathematics courses you have heard about number systems of whole numbers and real numbers, however, in the context of computer systems, the other types of number systems are (i) The decimal number system (Ten symbols or numbers), (ii) The binary number system (two symbols or numbers), (iii) The octal number system (eighth numbers of symbols) and, (iv) The hexadecimal number system (sixteen numbers or symbols).

MCQs Number System

• For any complex number $z$, it is always true that $|z|$ is equal to
• If $z_1$ and $z_2$ are any two complex numbers, then
• If $z_1$ and $z_2$ are two complex number then
• The numbers which can be put in the form $\frac{p}{q}\,\,$ $p, q \in Z$, $q \ne 0$ are
• The numbers that cannot be written in the form of $\frac{p}{q}\,\,$ $p,q\in Z\,$, $q\ne 0$ are
• A decimal which has only finite numbers of digits in its decimal part is called
• A decimal in which one or more digits repeat indefinitely in its decimal part is called
• Every recurring decimal is
• A Non terminating and a non-recurring decimal is
• 5.333 is
• $\pi$ is
• $\frac{22}{7}$ is
• $\pi$ is the ratio
• Every Integer is also a
• If $n$ is a Prime Number, then $\sqrt{n}$ is
• If $n$ is a negative number then $\sqrt{n}$ is
• The Number ‘0’ is
• The Number ‘0’ is
• If $a, b \in R$ and $(a+b)\in R$ then this property of real numbers is
• For $a,b\in R$ if $a+b=b+a$, then this property is called

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