Complement of a Set

Q.

If $A$ and $B$ are sets, then $A\cap (B–A)$ is

1. $\varphi$

2. $A$

3. $B$

4. None of these

Q.

Let ∪ = {x: x is a natural number and x $\le$ 10}

A = {a: a is an even number and a $<$ 10}

B = {b: b is a prime number and b $\le$ 9}

Then A^I $\cap$ B^I is

1. {2, 4, 6, 8}

2. { 3, 5, 7}

3. {1, 9, 10}

4. {2, 3, 5, 7}

Q.

Let
U = {x: x is a natural number and x ≤ 10}
$\text{A = {a: a is an even natural number and a < 10}}$

B = {b: b is a prime number and b ≤ 9}

Then A^I ∩ B^I is ______.

1. {2, 4, 6, 8}

2. { 3, 5, 7}

3. {1, 9, 10}

4. {2, 3, 5, 7}

Q.

Classify the following statement as true or false.

The triangular region also includes the vertices of the triangle.

1. True
2. False

Q. An angle which is four times its complement. Find the angle.

Q.

What is the difference between a triangle and triangular region.

Q.

Given the universal set = $\{-7,-3,-1,0,5,6,8,9\},B=\{x:-4<x<6\}$ then $B^{\prime }$ is

1. $\{-3,-1,0,5\}$

2. $\{-7,6,8,9\}$

3. $\{-7,-3,0,6,8,9\}$

4. $\{-7,-3,6,8,9\}$

Q.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, then set A^C is ________.

1. can't be determined

2. {4, 6, 8, 10, 14, 17}

3. {2, 8, 10, 14, 17}

4. {1, 2, 8, 10, 14, 17}

Q. If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {2, 4, 6, 8, 12} . Find the set $A^C.$

1. {8, 14, 17}
2. {8, 10, 17}
3. {8, 10, 14}
4. {10, 14, 17}

Q.

If A and B are two disjoint sets, then A - B = ______.

Q.

If $n\left(U\right)=700,n\left(A\right)=200,n\left(B\right)=300$ and $n(A\cap B)=100,$ then $n(A^{\prime }\cap B^{\prime })=$ ___.

1. 400

2. 600

3. 300

4. 200

Q.

Given the universal set = $\{-7,-3,-1,0,5,6,8,9\},A=\{x:x<2\}$ then $A^{\prime }$ is

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

2. $\{-7,-3,-1,0\}$

3. $\{0,5,6,8,9\}$

4. $\{-1,5,6,8,9\}$

Q.

The following information is given sets A, B which are subsets of universal set U.

n(U) = 47

n(A) = 18

n(B) = 11, n(A ∩ B) = 10

Then, the number of elements that are neither in A nor in B is ____

1. 28

2. 42

3. 44

4. 14

Q.

Represent the set U={x/x ‹10 X belongs to N } A'= {1, 2, 3, 4, 5, 6}, B={2, 3, 4, 5}, C={2, 3, 4} , D= {3, 4} by Venn diagram

Q.

If U = {a, e, d}, A = {a, e} and B’ = { a, d}, then A’ $\cap$ B’ = ___.

1. {d}

2. {a, e}

3. {e}

4. { a, d}

Q. $\text{If}n(\cup )=700,n\left(A\right)=200,n\left(B\right)=300$ and $n(A\cap B)=100,$ then $n(A^{{}^{\prime }}\cap B^{{}^{\prime }})=$ ___.

1. 240

2. 300

3. 500

4. 400

Q.

Convert $-47°30$ into radian measure.

Q. Find the number of elements in the set corresponding to common elements between set A and set B in the following venn diagram.

1. 3

Q.

${\left[\right(A^{\prime }\cup B^{\prime })-A]}^{\prime }$=___

1. A

2. B

3. B - A

4. A - B

Q.

If A and B are two given sets, then $A\cap (A\cap B{)}^{\prime }$ is equal to

1. ∅

2. $(A\cap B^{\prime })$

3. B

4. A

Q.

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 3, 4}

The set A^I is

1. {5, 6, 7, 8, 9, 10}

2. {1, 2, 3, 4}

3. {2, 3, 4, 5, }

4. None of these

Q.

Write the given set in Tabular form $C=x:x=4n,n\in N,n<5.$

Q.

If $n\left(U\right)=700,n\left(A\right)=200,n\left(B\right)=300$ and $n(A\cap B)=100,$ then $n(A^{\prime }\cap B^{\prime })=$ ___.

1. 400

2. 300

3. 200

4. 600

Q.

${\left[\right(B^{\prime }\cup (B^{\prime }-A)\left)\right]}^{\prime }$ =___

1. A

2. B

3. A - B

4. B - A

Q.

If $n(\cup )=700$, $n\left(A\right)=200$, $n\left(B\right)=300$ , $n(A\cap B)=100$, then $n(A^{{}^{\prime }}\cap B^{{}^{\prime }})$

1. 300

2. 500

3. 240

4. 400

Q. Find the number of elements in the set corresponding to common elements between set A and set B in the following venn diagram.

1. 3

Q. How many B's are there which are immediately preceded by A but not immediately followed by A.
B Z A N A A B Z A B A Z B A P Z A B A Z A

1. $1$
2. $2$
3. $3$
4. $4$

Q. Find the number of elements in the set corresponding to common elements between set A and set B in the following venn diagram.

1. 3

Q. Given the universal set:
$\{-7,-3,-1,0,5,6,8,9\}andB=\{x:-3<x<8\}$
Find $B^{\prime }.$