MCQs Mathematics

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.

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

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 $a_n=\frac{1}{a_1+(n-1)d}$

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

Try MCQs Multivariate Analysis