Mathematics Part1

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

MCQs Number System First Year 4

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

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

1. Polar form of $(\sqrt{3} + i)$ is

 
 
 
 

2. If $|x+5i|=3$ then $x$ is equal to

 
 
 
 

3. If $z=a+ib$ then $(z^2+\overline{z}^2)$ is equal to

 
 
 
 

4. If point $A$ of the coordinate plane corresponds to the ordered pair $(a,b)$ then

 
 
 
 

5. The modulus of $z$ is

 
 
 
 

6. Golden rule of fraction is that for $k\ne 0 $, $\frac{a}{b} =$

 
 
 
 

7. If $R$ is the set of real numbers, then product $R\times R$ is called

 
 
 
 

8. If $z$ is a real number then

 
 
 
 

9. The set $\{1, -1\}$ possesses closure property w.r.t.

 
 
 
 

10. If $z=x+iy$ then $|z|=?

 
 
 
 

11. If $z_1=2+3i$, $z_2=1-i$ then $|z_1z_2|=$

 
 
 
 

12. If $z=3-5i$ then $|z|^2$ is equal to

 
 
 
 

13. If a point $A$ of a coordinate plane corresponds to the ordered pair $(a, b)$, then $a$ and $b$ are called

 
 
 
 

14. The geometrical plane on which the coordinate system has been specified is called

 
 
 
 

15. 0.1428571428571…. is

 
 
 
 

16. Imaginary part of $(-2+3i)^2$ is equal to

 
 
 
 

17. The modulus value of a complex number $z=x+iy$ is the distance from

 
 
 
 

18. The correct statement of De Mover’s Theorem is $(cos \theta + i\, sin\, \theta)^n$ is equal to

 
 
 
 

19. Polar form of $1+i\sqrt{3}$ is

 
 
 
 

20. Real part of $(x+iy)^n$ is

 
 
 
 

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.

MCQs Number System First Year

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. These numbers are used to construct all other numbers such as 10, 11, 12, 13, and so on.

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 Numbers or Symbols), (iii) The octal number system (Eight Numbers or Symbols)and, (iv) The hexadecimal number system (Sixteen Numbers or Symbols).

MCQs Number System First Year

  • Imaginary part of $(-2+3i)^2$ is equal to
  • If $R$ is the set of real numbers, then product $R\times R$ is called
  • The geometrical plane on which the coordinate system has been specified is called
  • If a point $A$ of a coordinate plane corresponds to the ordered pair $(a, b)$, then $a$ and $b$ are called
  • If point $A$ of the coordinate plane corresponds to the ordered pair $(a,b)$ then
  • The modulus value of a complex number $z=x+iy$ is the distance from
  • If $z=x+iy$ then $|z|=?
  • If $z_1=2+3i$, $z_2=1-i$ then $|z_1z_2|=$
  • The correct statement of De Mover’s Theorem is $(cos \theta + i\, sin\, \theta)^n$ is equal to
  • Polar form of $1+i\sqrt{3}$ is
  • Real part of $(x+iy)^n$ is
  • Polar form of $(\sqrt{3} + i)$ is
  • If $z=3-5i$ then $|z|^2$ is equal to
  • If $z=a+ib$ then $(z^2+\overline{z}^2)$ is equal to
  • Golden rule of fraction is that for $k\ne 0 $, $\frac{a}{b} =$
  • The set ${1, -1}$ possesses closure property w.r.t.
  • The modulus of $z$ is
  • 0.1428571428571…. is
  • If $|x+5i|=3$ then $x$ is equal to
  • If $z$ is a real number then

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Also, See MCQs about Basic Statistics

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.

Please go to Number System Test 3 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.

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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