Intersection

Q.

Let $n(A-B)=25+x,n(B-A)=2x$ and $n(A\cap B)=2x.$ If $n\left(A\right)=2\left(n\right(B\left)\right),$ then $x$ = ___.

1. 4

2. 5

3. 6

4. 7

Q.

If $N_a=\{an:n\in N\}$ , then $N_3\cap N_4$ =

1. $N_7$

2. $N_{12}$

3. $N_3$

4. $N_4$

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 is a prime number}

B = {x: x is an odd natural number}

Then A ∩ B is

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.

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in (A U B )

1. 3

2. 18

3. 6

4. 9

Q.

If A = [(x, y): $x^2+y^2=25$] And B = [(x, y): $x^2+9y^2=144],thenA\cap B$ contains

1. One point

2. Three points

3. Two points

4. Four points

Q.

If the sets A and B are defined as

A = {(x, y) : y = $\frac{1}{x}$, 0 ≠ x ∈ R}

B = {(x, y) : y = -x, x ∈ R}, then

1. 

2. 

3. 

4. None of these

Q.

In a mathematics class, 20 children had forgotten their rulers and 17 forgotten their pencils, "Go and borrow them from someone at once”, said the teacher, 24 children left the room, then how many children had forgotten both is

1. 11

2. 12

3. 13

4. 14

Q.

If A and B are any two sets, then $A\cup (A\cap B)$ = ___.

1. B

2. A

3. $A^C$

4. $B^C$

Q.

In a factory 70% of the workers like oranges and 64% likes apples. What is the maximum percentage of people who can like both?

__