Union of Sets

Q.

If $A=\{1,2,3,4,5\},B=\{2,4,6\},C=\{3,4,6\}$, then $(A\cup B)\cap C$ is

1. $\{3,4,6\}$

2. $\{1,2,3\}$

3. $\{1,4,3\}$

4. None of these

Q. Let U be the universal set and $A\cup B\cup C=U$. Then $\left[\right(A-B)\cup (B-C)\cup (C-A){]}^c$ is equal to

1. $A\cup B\cup C$
2. $A\cup (B\cap C)$
3. $A\cap B\cap C$
4. $A\cap (B\cup C)$

Q. If $A=\{1,2,3,4,5\},B=\{4,5,6,7,8\},C=\{7,8,9,10,11\}andD=\{10,11,12,13,14\}.$Find:

(v) $A\cup B\cup C$

Q. If $A=\{1,2,3,4,5\},B=\{4,5,6,7,8\},C=\{7,8,9,10,11\}andD=\{10,11,12,13,14\}.$ Find:

(vi) $A\cup B\cup D$

Q. For any two sets $A\&B;A\cup B=$

1. $\{x:x\in Aorx\in B\}$
2. $\{x:x\in Aorx\notin B\}$
3. $\{x:x\notin Aorx\in B\}$

Q. Let U be the universal set and $A\cup B\cup C=U$. Then $\left[\right(A-B)\cup (B-C)\cup (C-A){]}^c$ is equal to

1. $A\cup B\cup C$
2. $A\cup (B\cap C)$
3. $A\cap B\cap C$
4. $A\cap (B\cup C)$

Q. If the sets $A$ and $B$ are defined as
$A=\{x:x=2n,n\in N,n<100\}B=\{x:x=3n,n\in N,n<100\}$
then, the number of elements in $AUB$ is

1. $165$
2. $198$
3. $99$
4. $0$

Q. For two sets $A=\{2,4,8,3,5\};B=\{2,4,6,8\},$ tap on the bubbles which are elements of the set $A\cup B.$

1. $1$
2. $2$
3. $3$
4. $4$
5. $5$
6. $6$
7. $7$
8. $8$
9. $9$
10. $10$

Q. If $A=\{1,2,3\},B=\{4,5,6\},$ then $A\cup B=$

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

Q. For two sets $A\&B,A\cup B$ implies a set having elements either in set $A$ or in set $B.\)

1. False
2. True

Q. For any two sets $A\&B,A\cup B$ is represented as:

1. 
2. 
3. 

Q. If $A=\{1,2,3,4,5\},B=\{4,5,6,7,8\},C=\{7,8,9,10,11\}andD=\{10,11,12,13,14\}$. Find:

(vii) $B\cup C\cup D$

Q. For any two sets $A\&B,A\cup B$ is represented as:

1. 
2. 
3. 

Q. For two sets $A=\{2,4,8,3,5\};B=\{2,4,6,8\},$ tap on the bubbles which are elements of the set $A\cup B.$

1. $1$
2. $2$
3. $3$
4. $4$
5. $5$
6. $6$
7. $7$
8. $8$
9. $9$
10. $10$

Q.

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$$\begin{array}{cc}ColumnA& ColumnB\\ 1.A\cup B& a.\{3,4,6,7\}\\ 2.A\cap B& b.\varnothing \\ 3.(B\cap C)\cup D& c.\{3,4\}\\ 4.B\cup C\cup D& d.\{3,4,5,6,7,8,9,10\}\\ 5.(A\cap B)\cap (B\cup C)& e.\{1,2,3,4,5,6,7\}\\ & f.\{6,7,8,9,10\}\\ & g.\{7\}\end{array}$$

1. 1 - e, 2 - c, 3 - f, 4 -d, 5-c

2. 1 - e, 2 - c, 3 - f, 4 -d, 5-a

3. 1 - b, 2 - a, 3 - c, 4 -e, 5-f

4. 1 - b, 2 - a, 3 - c, 4 -e, 5-c

Q. If $A=\{x:x\text{is an even number and}0<x<10\}$ and $B=\{2,3,5,7\}$, then the number of elements in $A\cup B$ is

Q. If the sets $A$ and $B$ are defined as
$A=\{x:x=2n,n\in N,n<100\}B=\{x:x=3n,n\in N,n<100\}$
then, the number of elements in $AUB$ is

1. $165$
2. $198$
3. $99$
4. $0$

Q.

Let $A=\{x:x\in R,|x|<1\}$;
$B=\{x:x\in R,|x-1|\ge 1\}$ and

$A\cup B=R-D$, then the set $D$ is

1. $\{x:1<x\le 2\}$

2. $\{x:1\le x<2\}$

3. $\{x:1\le x\le 2\}$

4. None of these

Q. If $A=\{1,2,3,4,5\}$,
$B=\{4,5,6,7,8\}$,
$C=\{7,8,9,10,11\}$ and
$D=\{10,11,12,13,14\}$.
Find:
(ii) $A\cup B$

Q.

Match the following:

Given, U is universal set.

A, B are subsets of U.

n(U), n(A), n(B) are no. of elements in U, A, B respectively.

Number of:

(1) Elements neither in A nor in B (A) $n(A\cup B)$

(2) Elements only in A (B)$n\left(B\right)-n(A\cap B)$

(3) Elements only in B (C)$n\left(A\right)-n(A\cup B)$

(4) Elements either in A (or) in B (D)$n\left(U\right)-n(A\cup B)$

(E)$n\left(A\right)-n(A\cap B)$

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

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

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

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

Q. For any two sets $A\&B;A\cup B=$

1. $\{x:x\in Aorx\in B\}$
2. $\{x:x\in Aorx\notin B\}$
3. $\{x:x\notin Aorx\in B\}$

Q.

If $A=x:x\text{is a natural number}B=x:x\text{is even natural number}C=x:x\text{is prime number}$

Then, $(A\cup B)\cap C=$

1. $A$

2. $A\cap B$

3. $B$

4. $C$