Equal Sets

Q. Sets having no elements in common are called _____.

1. Joint sets
2. Disjoint sets
3. Equivalent sets
4. Equal sets

Q. If $A$=Set of letters in the word LISTEN and $B$=Set of letters in the word SILENT, then $A$ and $B$ are sets.

1. equal
2. infinite
3. disjoint

Q.

Find the greatest number that will divide $132,242$ and $382$ leaving a remainder $2$ in each case.

Q.

If A = {set of letters of the word FLOW} and B = {set of letteres of the word WOLF}, then A and B are equal sets.

1. True

2. False

Q.

1) Defination of MS-WORD

2) Explain the word elements.

3) What is the extension of word document?

Q.

If $A=\{1,4,5,7,8\}$ and $B=\{8,1,5,4,7\}$ then which of the following statements are true?

1. Set A and set B are equal sets.

2. set A and set B are infinite sets.

3. set A and set B are null sets.

4. set A and set B are equivalents sets.

Q.

If A = {letters of the word MEMBER} and B = {letters of the word REMEMBER}, then the sets A and B are

1. infinite sets

2. empty sets

3. equal sets

4. disjoint sets

Q.

If A = {x: x is a letter of the word SET} and B = {x: x is a letter of the word SETTEE}, then A and B are ___.

1. null sets

2. singleton sets

3. equivalent sets

4. equal sets

Q.

In the above venn diagram, if the circle represents set A, what are the elements of set A?

1. o, a, r, n and g
2. o, a and g
3. g and n
4. o, a and r

Q. The greatest common divisor of $12$ and $28$ is

1. $2$
2. $4$
3. $12$
4. $8$

Q. If $A=\{m,a,t,h,e,m,a,t,i,c,s\},B=\{a,m,t,h,e,i,c,s\}$, then:

1. $A=B$
2. $A\ne B$
3. $A\subset B$
4. $B\subset A$

Q.

If set A = { 2, 4, 6, 8, 10} and set B = { a, b, d, e, m} then sets A and B are

1. Equal

2. Equivalent sets

3. Overlapping sets

4. None

Q. Factorise 54 into its prime factors.

Q.

Look at the figure and find the ratio of :



(a) The number of triangles to the number of stars in the rectangle.
(b) The number of rhombus to the total number of figures in the rectangle. [4 MARKS]

Q. Let $A=\{2,4,6,8,10,12,14\}$ and $B=$ $\{$ $x:x$ is a multiple of $2$, $x\in N$ and $x\le 14$ $\}$.
State whether $A=B$ or not.

Q. Decide whether sets $A$ and $B$ are equal sets or not.$A=2,4,6,8$, $B$={x | x is a positive even natural number less than $9$}

Q. Let $E=\{x:x^2+5x-6=0\}$ and $F=\{-6,1\}$. Then :

1. $E=F$
2. $E\ne F$
3. $E\subset F$
4. $F\subset E$

Q. How many elements has ?

Q. If $\left(\frac{xy}{z+6},\frac{y}{x+y}\right)=\left(\frac{8}{0},\frac{w}{6}\right)$ Find the value of x, y, z, w

Q.

All equal sets are _____ .

1. disjoint

2. equivalent

3. null

4. singleton

Q. Rachel planted periwinkles, lilies, tulips and primroses in $4$ different pots. The periwinkles bloom every 2 days, the lilies every $4$ days, the tulips every $6$ days and the primroses every $8$ days. If they bloomed together on the $1^{st}$ day of the month, then they will bloom together again on

1. ${24}^{th}$ day of that month
2. ${12}^{th}$ day of that month
3. ${28}^{th}$ day of that month
4. ${20}^{th}$ day of that month

Q. Stat whether the following pairs of sets are equal or not
(I) A={x:x is a letter of the world 'paper'} and A = set of digits in the number 59672
(ii) A={x:x is a letter of the world 'pepar'} and B = set of digits in the number 756889

Q.

Write the roster form for the set given:

$\left\{x|xisavowelinthewordUMBRELLA\right\}$

Q. If E =$\left\{factorsof16\right\}$ and F = $\left\{factorsof20\right\}$, then E = F

1. True
2. False

Q. If the following statement is true, enter $1$ or else $0$.

Q. State whether the following pair of sets are equal or not.
If they are equal then write $1$, else write $0$.

Q. Are the following pair of sets equal? Give reasons.
$A=(2,3);B$ = ($x:x$ is solution of $x^2+5x+6=0$ )

Q. The number of the solution of equation
$|x{|}^2-3|x|+2=0$ is 4

Q. $A\cap X=B\cap X=\varphi \&A\cup X=B\cup X$ prove that $A=B$

Q. Decide whether set A and B are equal sets. Give reason for your answer.
A = Even prime numbers
B = { x | 7x -1= 13}