Set Builder Form

Q.

What is the default file extension for all word documents?

Q.

Express the following sets in the set-builder form.

$\{3,6,9,12,15\}$

Q.

Express the following sets in the set-builder form.

$\{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\mathrm{\dots }\}$

Q.

The first computer was programmed using _____? (1) Assembly language (2) Machine language (3) Spaghetti code (4) Source code

Q.

The set A = {5, 10, 15, 20, 25, 30} written in the set builder form is ______________________.

1. A =$\{x:x=5n,n\in W,n<6\}$

2. A =$\{x:x=5n,n\in N,n\le 6\}$

3. A =$\{x:x=5n,n\in N,n<6\}$

4. A =$\{x:x=5n,n\in W,n\le 6\}$

Q.

Let $\omega \ne 1$ be a cube root of unity. Then the minimum of the set $\left\{\right|a+b\omega +c{\omega }^2{|}^2$ ; Where, $a,b,c$ distinct non-zero integers $\}$ equals.

Q.

The set builder form of "A = { January, June, July }" is

1. $\text{A}=\left\{\text{x : x is the months of the year which starts with letter J}\right\}$

2. $\text{A}=\left\{\text{x : x is the months of the year which ends with letter Y}\right\}$

3. $\text{A}=\left\{\text{x : x is the first 3 months of the year}\right\}$

4. $\text{A}=\left\{\text{x : x is the last 3 months of the year}\right\}$

Q.

Let $R=\{x|x\in N,x$ is a multiple of $3,x\le 100\}$, $S=\{x|x\in N,x$ is a multiple of $5\text{,}x\le 100\}$. What is the number of elements in $\left(R\times S\right)\cap \left(S\times R\right)$.

1. $36$

2. $33$

3. $20$

4. $6$

Q.

The method used for remembering the number of days in the months of the Gregorian calendars is known as___.

1. knuckle mnemonic

2. palm mnemonic

3. thumb mnemonic

4. finger mnemonic

Q.

The set A = {7, 14, 21, 28, 35, 42} written in the set builder form is

1. A =$\{x:x=7n,n\in N,n\le 6\}$

2. A =$\{x:x=7n,n\in W,n\le 6\}$

3. A =$\{x:x=7n,n\in W,n<6\}$

4. A =$\{x:x=7n,n\in N,n<6\}$

Q. Write the following sets in set-builder (Rule Method) form

Q.

Let $R$ be a relation on the set $N$ of natural numbers defined by ${}_n{R}_m\iff n$ is a factor of $m(i.e.,n|m).$ Then $R$ is

1. Reflexive and symmetric

2. Transitive and symmetric

3. Equivalence

4. Reflexive, transitive but not symmetric

Q.

Write all the composite numbers between $1$ to $100$.

Q.

Question 106

Find the odd one out of the following and give reasons.

(a) $\frac{4}{3}\times \frac{3}{4}$

(b) $\frac{-3}{2}\times \frac{-2}{3}$

(c) $2\times \frac{1}{2}$

(d) $\frac{-1}{3}\times \frac{3}{1}$

Q.

The set-builder form of the set $\{\frac{1}{3},\frac{1}{9},\frac{1}{27}\}$ is

1. $\{x:x=\frac{1}{3^n},\text{where}n\in N\text{and}n>3\}$

2. $\{x:x=\frac{1}{3^n},\text{where}n\in N\text{and}n<3\}$

3. $\{x:x=\frac{1}{3^n},\text{where}n\in N\text{and}n\le 3\}$

4. $\{x:x=\frac{1}{3^n},\text{where}n\in N\text{and}n=3\}$

Q.

The unit of speed is…………

Q.

If A = {x : x = 2n, $n\in W,n\le 5\}$, then n(A) =____.

1. {1, 3, 5, 7, 11, 13, 17, - - - -}

2. {2, 3, 5, 7, 9, 11, - - - -}

3. {3, 5, 7, 11, 13, 17, - - - -}

4. None of these

Q. Write the following set in set-builder (Rule Method) form :

Q.

If A={$x:x=3n,n\in N,4\le n\le 6\}$ and B = {12, 15, 18}, then A and B are ___________.

1. equal sets

2. equivalent sets

3. disjoint sets

4. null sets

Q. Write the following sets in set-builder (Rule Method) form :

Q. Write the following set in set-builder (Rule Method) form :

Q.

Convert $\frac{3\mathrm{\pi }}{5}$ radian into sexagesimal system

Q. Write the following sets in set-builder (Rule Method) form :

Q.

The square of which of the following would be an even number?

1. 47

2. 49

3. 46

4. 41

Q.

Represent the following sets in set-builder form $X=\left\{Sunday,Monday,Tuesday,Wednesday,Thursday,Friday,Saturday\right\}$

A$=\{1,1/2,1/3,1/4,1/5,......\}$

Q. Write the following sets in set builder form:
$\{1,4,9,16,25,.....\}$

Q.

If$A=$$\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right]$, then $A^4=$

Q.

Write the given set in Set Builder form.

A = {$2,3,5,7,11,13,17,19$}

Q.

How many ways can $6$ different books be arranged on a shelf?

Q. Write the following set in set builder form:
$\{1,4,9,16,25,36\}$