Disjoint Sets

Q. If $A=\{x:x\text{is a prime number}\}$ and $B=\{x:x\text{is a composite number}\}$, then $A$ and $B$ are ___ sets.

1. disjoint
2. equal
3. overlapping
4. finite

Q. If $A=\{x:x<5,x\text{is a natural number}\}$ and $B=\{x:-1<x<5,x\text{is an integer}\}$, then $A$ and $B$ are ___ sets.

1. disjoint
2. overlapping
3. equal
4. equivalent

Q. Find out the square root of 1764.

1. 38
2. 32
3. 48
4. 42

Q.

A kite has how many sides?

1. $4$

2. $6$

3. $5$

4. $7$

Q.

If A = {Quadrilaterals} and B = {Rectangles}, then set A and set B are

1. disjoint sets

2. overlapping sets

3. equal sets

4. equivalent sets

Q.

Find the union of the following pair of sets.

$K=\{physicsteachers\}$ ; $L=\{Mathsteachers\}$

Q. Check whether the sets $A$ and $B$ are disjoint:
$A$ is the set of all even positive integers, $B$ is the set of all prime numbers

Q.

If A and B are not disjoint sets, then $n(A\cup B)$is equal to

1. n(A)+n(B)

2. n(A)+n(B)-n(A $\cap$ B)

3. n(A)+n(B)+n(A $\cap$ B)

4. n(A)-n(B)

5. n(A) n(B)

Q.

The condition for 2 sets A and B to be disjoint is

1. A ∩ B = ∅

2. A ∪ B = ∅

3. A - B = ∅

4. B - A = ∅

Q. State which of the following sets are disjoint
(i) $A=\{2,4,6,8\};B=$ $\{$ $x:x$ is an even number $<10,x\in N\}$
(ii) $X=\{1,3,5,7,9\},Y=\{0,2,4,6,8,10\}$
(iii) $P=$ $\{$ $x:x$ is a prime $<15$$\}$
$Q=$$\{$ $x:x$ is a multiple of 2 and $x<16$$\}$
(iv) $R=\{a,b,c,d,e\},S=\{d,e,a,b,c\}$

Q.

If A = {Set of students of class VI} and B = {Set of students of class VII}, then A and B are _____.

1. Overlapping Sets

2. Equal Sets

3. Disjoint sets

4. Equivalent sets

Q. The sets E= {All even numbers } and O ={All odd numbers} are

1. null sets
2. singleton sets
3. disjoint sets
4. overlapping sets

Q.

If A ={4, 5, 6}and B = {set of natural numbers less than 6}, then A and B are disjointsets.

Q.

Let S = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of S is equal to

1. 25

2. 34

3. 42

4. 41

Q. Assertion :Statement 1:$(\mathrm{666......}ndigits{)}^2+(\mathrm{888......}ndigits)=(\mathrm{444....2}ndigits)$ and Reason: Statement 2 :$\left(\underset{12times}{\underset{}{\mathrm{111....1}}}\right)$ is a prime number

1. STATEMENT -1 is true , STATEMENT -2 is true;STATEMENT 2 is NOT a correct explanation for STATEMENT -1
2. STATEMENT -1 is true , STATEMENT -2 is true;STATEMENT 2 is a correct explanation for STATEMENT -1
3. STATEMENT -1 is true , STATEMENT -2 is False
4. STATEMENT -1 is false , STATEMENT -2 is true

Q.

If A and B are disjoint, then $n(A\cup B)$ is equal to

1. n(A)

2. n(B)

3. n(A).n(B)

4. n(A)+n(B)

Q.

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

Q.

Which of the following pairs of sets are disjoint?

1. {3, 4, 5, 6, 7} and {x: x is a natural number and 7≤ x ≤ 10}

2. {x: x is a prime number} and {x: x is an even number}

3. {x: x is an odd number} and {x: x is an even number}

4. {x: x is an odd number} and {x:x is a multiple of 3}

Q. State whether the following statement is true or false.
$\{2,6,10,14\}$ and $\{3,7,11,15\}$ are disjoint sets.

1. True
2. False

Q.

Which of the following pair of sets are equal sets?

$A=\left\{Anil,Suresh,Prem,Hari\right\}$

$B=\left\{Prem,Anil,Hari,Suresh\right\}$

Q. Check whether the sets $A$ and $B$ are disjoint:
$A=\{1,2,3\}$ and $B=\{4,5,\{1,2,3\}\}$

Q. Which of the following is equal to $1?$

1. $\frac{0.304\times 2}{30\cdot 4\times 2}$
2. $\frac{0.304\times 2}{304\times 0\cdot 2}$
3. $\frac{0.304\times 20}{304\times 2}$
4. $\frac{0.304\times 20}{3\cdot 04\times 2}$

Q. Check whether the sets $A$ and $B$ are disjoint:
$A$ is the set of all perfect squares, $B$ is the set of all negative integers

Q. Give example of sets $A$ and $B$ such that $A$ is finite, $B$ is infinite, $A$ and $B$ are disjoint sets.

Q. Check whether A = {0, 1, 2, 6, 8} and B = {1, 3, 5, 7, 9, 11} are overlapping sets or not.

Q.

If A = {1, 3, 7, 8} and B = {2, 4, 6}, then A and B are ______ .

1. equal sets

2. equivalent sets

3. joint sets

4. disjoint sets

Q. Check whether the sets $A$ and $B$ are disjoint:
$A=\{3,6,9,12,.15,...\},B=\{19,24,29,34,39,...\}$

Q. Which of the following sets are pairs of disjoint sets? Justify your answer :
$J=\{x:x\in Nxiseven\}$ and $K=\{x:x\in N,xisodd\}$

Q. Give reasons for the following.
Squares, rectangles, parallelograms are all quadrilaterals.

Q.

If A = {1, 3, 7, 8} and B = {2, 4, 6}, then A and B are ______ .

1. equal sets

2. equivalent sets

3. joint sets

4. disjoint sets