Mathematics Part1

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

 $\sqrt{15}$

 $\sqrt{26}$

 $26$

 $\sqrt{13}$

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

 $-8$

 $-2$

 $26$

 $9$

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

 Subtraction

 Division

 Multiplication

 Addition

4. 0.1428571428571…. is

 Natural number

 Irrational number

 Rational number

 Decimal number

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

 $2(cos\, 60^o – i\,sin\, 60^o)$

 $cos\, 60^o + i\, sin\, 60^o$

 $2(cos\, 60^o + i\, sin\, 60^o)$

 $2(cos\, 30^o + i\, sin\,30^o)$

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

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

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

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

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

7. 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 $A$

 Value of point $A$

 Coordinates of point $A$

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

 $\sqrt{x^2+y^2}$

 $x-iy$

 $\sqrt{x^2-y^2}$

 $x^2+y^2$

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

 Cartesian plane

 Argand diagram

 Real line

 Coordinate plane or real plane

10. If $z$ is a real number then

 $\overline{z} = |z|$

 $\overline{z} = z$

 $\overline{z}=-z$

 $z\overline{z}=|z|$

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

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

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

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

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

12. 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 $A$

 $b$ is ordinate of point $A$

 $a$ is abscissa of point $A$

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

 $4iab$

 $2(a^2-b^2)$

 $2(a^2+b^2)$

 $(a^2+b^2)^2$

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

 $(x, y)$

 Y-axis

 Origin

 X-axis

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

 $r^n\, sin\, n\, \theta$

 $r^n \,cos\, n \,\theta$

 $cos\, n\, \theta$

 $sin\, n\, \theta$

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

 Cartesian plane

 Ordered pair

 Real line

 Argand diagram

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

 $16$

 None of the option given

 $\sqrt{34}$

 $34$

18. The modulus of $z$ is

 $\sqrt{a^2-b^2}$

 $\sqrt{a^2 -(ib)^2}$

 $\sqrt{a^2+b^2}$

 $a^2+b^2$

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

 $\frac{ab}{k}$

 $\frac{kb}{ka}$

 $\frac{ka}{kb}$

 $\frac{kb}{b}$

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

 $\pm22i$

 $\pm 4$

 $\pm 4i$

 None of the option given

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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