MCQs Mathematics

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

5. 0.1428571428571…. is

 
 
 
 

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

 
 
 
 

7. If $z$ is a real number then

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

17. The modulus of $z$ is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

Important MCQs Sequence and Series 2

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This post is about an Online Quiz on sequence and series from First Year Mathematics. A sequence is an ordered set of numbers formed according to some definite rule. Let us start with the Sequence and Series Quiz.

Please go to Important MCQs Sequence and Series 2 to view the test

A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, the 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 numbers 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 $a_n=\frac{1}{a_1+(n-1)d}$
Sequence and Series

MCQs Sequence and Series with Answers

  • Sequence is also called
  • A sequence is a function whose domain is
  • If all the members of a sequence are real numbers then the sequence is called
  • The symbol used to represent the sequence $a$ is
  • If the domain of a sequence is finite then the sequence is called
  • A sequence in which every term after the first can be obtained by adding a fixed number in the preceding term is called
  • The generl term $a_n$ of an A.P. is
  • If in an A.P. $a_5=13$ and $a_17=49$, then $a_15=?$
  • If $a_{n-2}=3n-11$ then $n$th term will be
  • The sequence $1, \frac{3}{2}, \frac{5}{4}, \frac{7}{8}, \cdots $, then $a_7=?$
  • Which of the following cannot be the term of sequence 17, 13, 9, …
  • If $\frac{1}{a}, \frac{1}{b}$ and D\frac{1}{c}$ are in A.P. then which one is true:
  • Find the number of terms in an A.P. in which $a=3, d=7$, and $a_n=59$
  • The $n$th A.M. between $a$ and $b$ is
  • The A.M. between $1-x+x^2$ and $1+x-x^2$ is
  • If 5, 8 are two A.M. between $a$ and $b$ then $a$ and $b$ are
  • The arithmetic mean between 2+\sqrt{2}$ and $2-\sqrt{2}$ is
  • The sum of the series $-3+(-1)+(1) +3+5 +\cdots+ a_{16}$ is
  • The number of terms of the series $-7+(-5)+(-3)+\cdots$ amount to 65
  • If $S_2, S_3, S_5$ are the sums of $2n, 3n, 5n$ terms of an A.P. then which one is true

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