Mathematics Part1

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

Number System Test 3

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The Post is about the Number System Test from Mathematics of Intermediate Part-I (First Year). There are 20 MCQs about the number system Test for the preparation of mathematics. Let us start with the Online Number System Test with Answers.

MCQs Mathematics covers the topic of the Number system for the preparation of Intermediate mathematics.

1. $(0, 1)^2$ is equal to

 
 
 
 

2. If $a+ib$ is a complex number then its conjugate is

 
 
 
 

3. $(0, 1)^4$ is equal to

 
 
 
 

4. If $z$ is any real number then its conjugate is

 
 
 
 

5. The multiplicative identity of a complex number is

 
 
 
 

6. The product of two conjugate complex numbers is

 
 
 
 

7. The additive inverse of $(a, -b)$ is

 
 
 
 

8. $(-i)^{19}$ is equal to

 
 
 
 

9. The multiplicative inverse of $(-4, 7)$ is

 
 
 
 

10. $(-1)^{-\frac{21}{2}}$ is equal to

 
 
 
 

11. The sum of two conjugate complex numbers is

 
 
 
 

12. $(0, 1)^3$ is equal to

 
 
 
 

13. If $k$ is any real number and $a+ib$ is a complex number then

 
 
 
 

14. If $a+ib$ is a complex number then its conjugate is

 
 
 
 

15. The additive identity in a set of complex numbers is

 
 
 
 

16. The multiplicative inverse of $(a, -b)$ is

 
 
 
 

17. The real part of $\frac{2+i}{i}$ is equal to

 
 
 
 

18. (0, 1) is equal to

 
 
 
 

19. (0, 3) (0, 5) is equal to

 
 
 
 

20. The factors of $3(x^2+y^2)$ are

 
 
 
 

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.

Number System Test

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 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, (ii) The binary number system, (iii) The octal number system and, (iv) The hexadecimal number system.

MCQs Number system Test

  • If $a+ib$ is a complex number then its conjugate is
  • If $a+ib$ is a complex number then its conjugate is
  • If $z$ is any real number then its conjugate is
  • If $k$ is any real number and $a+ib$ is a complex number then
  • The additive identity in a set of complex numbers is
  • The multiplicative identity of a complex number is
  • The additive inverse of $(a, -b)$ is
  • The multiplicative inverse of $(a, -b)$ is
  • (0, 1) is equal to
  • $(0, 1)^2$ is equal to
  • $(0, 1)^3$ is equal to
  • $(0, 1)^4$ is equal to
  • $(-i)^{19}$ is equal to
  • $(-1)^{-\frac{21}{2}}$ is equal to
  • (0, 3) (0, 5) is equal to
  • The sum of two conjugate complex numbers is
  • The product of two conjugate complex numbers is
  • The multiplicative inverse of $(-4, 7)$ is
  • The factors of $3(x^2+y^2)$ are
  • The real part of $\frac{2+i}{i}$ is equal to

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Also, See MCQs about Basic Statistics

MCQs Quadratic Equation 1

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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.

Please go to MCQs Quadratic Equation 1 to view the test

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

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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Matrices and Determinants 1

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The post is about Online MCQS about Matrices and Determinants quiz with answers. The quiz contains 20 multiple-choice questions about matrices and determinants from Chapter 3 of First-Year Mathematics. Let us start with the Matrices and Determinants Quiz.

Please go to Matrices and Determinants 1 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.

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.

Online MCQs Matrices and Determinants

  • A rectangular array of numbers enclosed by a pair of brackets is called a
  • The horizontal lines of numbers in a matrix are called
  • The vertical lines of numbers in a matrix are called
  • If a matrix $A$ has $m$ rows and $n$ column, then order of $A$ is
  • The element $a_{ij}$ of any matrix $A$ is present in
  • Any matrix $A$ is called real if all $a_{ij}$ are
  • If any matrix $A$ has only one row, then it is called
  • If any matrix $A$ has only one column, then it is called
  • If a matrix $A$ has the same number of rows and columns, then Matrix $A$ is called
  • If any Matrix $A$ has different numbers of rows and columns, then matrix $A$ is
  • Any matrix of order $m\times 1$ is called
  • Any matrix of order $1\times n$ is called
  • For the square matrix $A=[a_{ij}]{n\times n}$, the elements $a{11}, a_{22}, \cdots, _{nn}$ are
  • For the matrix $A=[a_{ij}]{n\times n}$, the elements $a{1n}, a_{2n-1}, a_{3n-2}, a_{4n-3}, \cdots, a_{n1}$ form
  • For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and at least one $a_{ii}\ne 0, i=j$, then $A$ matrix is called
  • For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and all $a_{ij}=k$ (non-zero) for $i=j$, then matrix $A$ is called
  • If all off-diagonal elements are zeros and at least one of the leading diagonals is non-zero, then the matrix is called
  • The matrix $[6]$ is
  • If matrix $A$ is of order $m\times n$, then the matrix of order $n\times m$ is called
  • Two matrices $A$ and $B$ are said to be conformable for addition if

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Basic Statistics and Data Analysis