Methods of Writing a Set

Q. For the set {1, 3, 5, 7, 9}, the set builder form of representation is:
{x: x is an odd less than 10}

1. prime number
2. natural number
3. integer

Q. Write the following set in roster form.
A = $\{x:x=\frac{n}{2n+1},\text{where}nϵN\text{and}n<4\}$

Q. Represent the following set in set builder form.
B = {29, 31, 37, 41, 43, 47}

Q.

Find the cardinal number of the following set.

$\left\{1,3,4,1,4,3,2\right\}$

Q.

Match the following: $\begin{array}{cc}\text{Column A}& \text{Column B}\\ \text{1. {1, 2, 4, 8}}& \text{A. x: x is a natural even number less than 10}\\ \text{2. {2}}& \text{B. x: x is a prime number and a divisor of 8}\\ \text{3. {2, 4, 6, 8}}& \text{C. x: x is a divisor of 8}\\ \text{4. {4, 6, 8, 9}}& \text{D. x: x is a composite number less than 10}\end{array}$

1. 1 - C, 2 - A, 3 - B, 4 - D

2. 1 - B, 2 - D, 3 - A, 4 - C

3. 1 - A, 2 - D, 3 - C, 4 - B

4. 1 - C, 2 - B, 3 - A, 4 - D

Q.

What is the cardinal number of following sets?

$C=\left\{consonantsoftheEnglishAlphabet\right\}$

Q. The roster form of the set "The set of the months in a year that ends with the letter y" is _________ .

1. {January, February, May}
2. {January, February, May, July}
3. {January, February}
4. {May, July}

Q. Match the sets in the roster form with the description given.

1. {2, 4, 6, 8}
2. {1, 2, 3, 4, 6, 12}
3. {2, 3, 5, 7}
4. {2, 3}

Q.

Represent the given set in roster form.

A = $\{x:xisaninteger,\frac{-3}{2}<x<\frac{11}{2}\}$

Q.

Match the following:

$$\begin{array}{cc}\text{Column A}& \text{Column B}\\ 1.A=\{x:xisanoddnaturalnumber\}& a.\{\frac{1}{2},\frac{1}{3},\frac{2}{3},\frac{3}{4},\frac{3}{5},\frac{5}{7}\}\\ 2.B=\{x:x=(n^2),n\in Nandx<100\}& b.\{1,4,9,16,25,........10000\}\\ 3.C=\{x:x=\frac{n}{n+2},n\in Nand1\le n\le 6\}& c.\{1,4,9,16,25,36,49,64,81\}\\ 4.D=\{x:xisaletterofthewordTRIGONOMETRY\}& d.\{G,E,I,M,N,O,R,T,Y\}\\ & e.\{1,3,5,7,9,...............\}\end{array}$$

1. 1 - e, 2 - b, 3 - a, 4 - d

2. 1 - e, 2 - c, 3 - a, 4 - d

3. 1 - c, 2 - b, 3 - a, 4 - d

4. 1 - c, 2 - b, 3 - d, 4 - e

Q. The set of natural numbers less than 15 and divisible by 3 in roster form is .

1. $\{3,6,9,12\}$
2. $\{3,6,9,12,15\}$
3. $\{1,2,6,9,12\}$
4. $\{1,3,5,12,15\}$

Q.

Match the following: $$\begin{array}{cc}ColumnA& ColumnB\\ 1.\{1,2,4,8\}& A.\{x:xisanevennaturalnumberlessthan10\}\\ 2.\left\{2\right\}& B.\{x:xisaprimenumberandadivisorof8\}\\ 3.\{2,4,6,8\}& C.\{x:xisadivisorof8\}\\ 4.\{4,6,8,9\}& D.\{x:xisacompositenumberlessthan10\}\end{array}$$

1. $1-C,2-A,3-B,4-D$

2. $1-B,2-D,3-A,4-C$

3. $1-A,2-D,3-C,4-B$

4. $1-C,2-B,3-A,4-D$

Q. Write the following set in roster form.
A = $\{x:x=2r+3,\text{where}rϵI\text{and}-2<r\le 3\}$

Q. Which of the following is the roster form of the set S = {x: (x - 2)(x - 6) = 0}?

1. S = {2, -6}
2. S = {-2, 6}
3. S = {-2, -6}
4. S = {2, 6}

Q. Write the following set in roster form $\{x:x=\frac{n}{2n+1},\text{where}nϵN\text{and}n<4\}$.

Q. The set Z = { ..........., -1, 0, 1, 2, ........}, this form of represention of a set is called _________________.

1. Set-Builder form
2. Rule method
3. Roster form
4. Tabular form

Q.

The set-builder form of the set $\{\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},\frac{1}{32},\frac{1}{64}\}$ is

1. $\{x:x=\frac{1}{2^m},\text{where}mϵW\text{and}m\le 6\}$

2. $\{x:x=\frac{1}{2^m},\text{where}mϵN\text{and}m\le 6\}$

3. $\{x:x=\frac{1}{2^m},\text{where}mϵN\text{and}m<6\}$

4. $\{x:x=\frac{1}{2^m},\text{where}mϵW\text{and}m<6\}$

Q.

The sets

$A=\{x:x\in N\text{and}13>2x+1\}$ and

$B=\{y:y\in Z\text{and}-30\le y<-25\}$ are ___ sets.

1. joint
2. null
3. equal
4. equivalent

Q.

The set builder form of "A is the set of whole numbers which are divisible by 5 and are less than 35" is _______________.

1. A = {$x:x=5n,n\in W$}

2. A = {$x:x=5n,n<7$}

3. A = {$x:x=5n,n\in W,n\le 7$}

4. A = {$x:x=5n,n\in W,n<7$}

Q. $A=\{x:x\in Nandx\le 8\}$
This form of representation of set is called __________.

1. Set -Builder form
2. Rule Method
3. Roster form
4. Tabular method

Q.

The set - builder form of the set $\{\frac{4}{5},\frac{5}{6},\frac{6}{7},\frac{7}{8},\frac{8}{9},\frac{9}{10}\}$ is

1. $\{x:x=\frac{n}{n+1},\text{where}nϵN\text{and}4\le n\le 9\}$

2. $\{x:x=\frac{n}{n+1},\text{where}nϵN\text{and}4<n<9\}$

3. $\{x:x=\frac{n}{n+1},\text{where}nϵN\text{and}4\le n<9\}$

4. $\{x:x=\frac{n}{n+1},\text{where}nϵN\text{and}4<n\le 9\}$

Q.

The elements of the set $A=\{x:x\in Z,-\frac{3}{2}<x<\frac{11}{2}\}$ are ______ (Here, $Z$ stands for the set of integers).

1. -3, -2, -1, 0, 1, 2, 3, 4, 5
2. -1, 0, 1, 2, 3, 4, 5, 6
3. -1, 0, 1, 2, 3, 4, 5
4. -2, -1, 0, 1, 2, 3, 4, 5

Q.

The roster form of the set $\{x:x=2r+3,\text{where}rϵI\text{and}-2<r\le 3\}$.

1. $\{1,3,5,7,9\}$

2. $\{0,1,3,5,7,9\}$

3. $\{1,3,5,7\}$

4. $\{0,1,3,5,7\}$