Mathematics Part1

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

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

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

 $\sqrt{13}$

 $\sqrt{15}$

 $\sqrt{26}$

 $26$

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

 Origin

 X-axis

 Y-axis

 $(x, y)$

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

 None of the option given

 $\pm 4i$

 $\pm22i$

 $\pm 4$

4. 0.1428571428571…. is

 Decimal number

 Irrational number

 Rational number

 Natural number

5. If $z$ is a real number then

 $\overline{z} = |z|$

 $\overline{z} = z$

 $\overline{z}=-z$

 $z\overline{z}=|z|$

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

 $(cos\, n\, \theta – i\, sin\, n\, \theta)$

 $(cos\, \theta + i\, sin\, \theta)^{n+1}$

 $(n\, cos\, \theta + i\, n \,sin\, \theta)$

 $cos\, n\, \theta + i\, sin\, n \,\theta)$

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

 Argand diagram

 Real line

 Ordered pair

 Cartesian plane

8. The modulus of $z$ is

 $\sqrt{a^2 -(ib)^2}$

 $a^2+b^2$

 $\sqrt{a^2-b^2}$

 $\sqrt{a^2+b^2}$

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

 $\frac{ab}{k}$

 $\frac{kb}{ka}$

 $\frac{kb}{b}$

 $\frac{ka}{kb}$

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

 $2 \left(cos\, \frac{\pi}{3} + i\, sin\, \frac{\pi}{3} \right)$

 $2 \left(cos\, \frac{\pi}{6} + i\, sin\, \frac{\pi}{6} \right)$

 $2 \left(cos\, \frac{\pi}{6} – i\, sin\, \frac{\pi}{6} \right)$

 $2 \left( cos\, \frac{\pi}{3} – i\, sin\, \frac{\pi}{3} \right)$

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

 $sin\, n\, \theta$

 $cos\, n\, \theta$

 $r^n \,cos\, n \,\theta$

 $r^n\, sin\, n\, \theta$

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

 $(a^2+b^2)^2$

 $2(a^2+b^2)$

 $2(a^2-b^2)$

 $4iab$

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

 $26$

 $9$

 $-8$

 $-2$

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

 $x^2+y^2$

 $\sqrt{x^2-y^2}$

 $x-iy$

 $\sqrt{x^2+y^2}$

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

 Real line

 Argand diagram

 Cartesian plane

 Coordinate plane or real plane

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

 Division

 Subtraction

 Addition

 Multiplication

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

 $cos\, 60^o + i\, sin\, 60^o$

 $2(cos\, 30^o + i\, sin\,30^o)$

 $2(cos\, 60^o – i\,sin\, 60^o)$

 $2(cos\, 60^o + i\, sin\, 60^o)$

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

 $16$

 $\sqrt{34}$

 None of the option given

 $34$

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

 Ordinates of point $A$

 Abscissa of point $A$

 Coordinates of point $A$

 Value of point $A$

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

 All of the given optoins

 $a$ and $b$ are coordinates of point $A$

 $a$ is abscissa of point $A$

 $b$ is ordinate of point $A$

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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. 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

R Data Analysis: rfaqs.com

Also, See MCQs about Basic Statistics

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

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.

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

R Programming Language: RFAQs.com

Also, See MCQs about Basic Statistics