Disjoint Sets

Q. $\text{{x: x is an odd number}}$ and $\text{{x: x is an even number}}$ are sets.

1. equal
2. overlapping
3. disjoint

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

1. n(A)+n(B)+n(A $\cap$ B)
2. n(A) n(B)
3. n(A)+n(B)
4. n(A)+n(B)-n(A $\cap$ B)
5. n(A)-n(B)

Q.

Factorise x⁴ + 4y⁴. Use this to prove that 2011⁴ + 64 is a composite number.

Q. $\text{{x: x is an odd number}}$ and $\text{{x: x is an even number}}$ are sets.

1. equal
2. overlapping
3. disjoint

Q. If A = {x : x is a composite number} and
B = {x : x is a prime number}, then clearly sets A and B are ________ sets.

1. disjoint sets
2. finite sets
3. empty sets
4. equal sets

Q.

The sets A =$\{4,5,6\}$ and B =$\{x:x^2-5x-6=0\}$ are disjoint sets.

1. True

2. False

Q.

Which of the following pairs of sets are disjoint?

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

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

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

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

Q. If A and B are disjoint, then $n(A\cup B)$ = ___.

1. n(A)
2. n(B)
3. n(A)+n(B)
4. n(A).n(B)

Q. Find which of the following sets are disjoint sets.

1. $P=\{10,20,30,40\}$
   $Q=\{15,25,35,45\}$
2. $P=\{2,4,6,8,10\}$
   $Q=\{1,3,5,7,8\}$
3. $P=\{x:x\text{is letter in the 'FLOWER'}\}$
   $Q=\{x:x\text{is letter in the 'FLOOR'}\}$
4. $P=\{\text{S},\text{U},\text{N}\}$
   $P=\{\text{S},\text{T},\text{A},\text{R}\}$

Q. Two disjoint sets A and B have 3 and 8 elements respectively. The union of the two sets has ______ elements.

1. 8
2. 11
3. 3
4. 5

Q. Two disjoint sets A and B have 3 and 8 elements respectively. The union of the two sets have ______ elements.

1. 3
2. 8
3. 5
4. 11

Q.

A Venn diagram consists of___.

1. multiple overlapping closed curves, usually ellipses

2. multiple overlapping closed shapes, usually squares

3. multiple overlapping closed curves, usually hexagons

4. multiple overlapping circles

Q. If A and B are two disjoint sets, then prove that their difference i.e. (A-B) and (B-A) are also disjoint sets.

Q. Here, X and Y are disjoint sets.

1. True
2. False

Q.

P = set of multiples of 3

Q = set of multiples of 5

P and Q are:

1. disjoint sets

2. overlapping sets

3. equivalent sets

4. equal sets

Q.

P = set of multiples of 3

Q = set of multiples of 5

P and Q are:

1. overlapping sets

2. equal sets

3. disjoint sets

4. equivalent sets

Q. If $A=\left\{Parallelograms\right\}$ $B=\{Square,Rectangle,Rhombus,Trapezium\}$Then find $B-A$.

Q.

If A = set of even prime numbers, then A is ____.

1. not a set

2. an infinite set

3. a singleton set

4. a null set

Q. Identify the disjoint sets among the given pair of sets.

1. A = { 8, 9, 11} and B = { 9, 6, 8 }
2. A = { 0, 2, 9} and B = { 3, 5, 8 }
3. A = { 1, 2, 3} and B = { 3, 5, 7 }
4. None of the above

Q.

Which of the following pairs of sets are disjoint?

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

2. {3, 4, 5, 6, 7} and {x: x is a natural number and 7≤ x ≤ 10}

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. The sets $A=\{p,q,s,t\}$ and $B=\{a,b,c,d,e\}$ are _____ sets.

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

Q.

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

1. $\frac{}{A\cap B}$

   

2. $A\cap \overline{B}$ .

   

3. $\overline{A}\cap \overline{B}$ .

   

4. $\overline{A}\cap B$

   

Q. $\text{{x: x is an odd number}}$ and $\text{{x: x is an even number}}$ are sets.

1. disjoint
2. equal
3. overlapping

Q. If A = {x : x is a composite number} and
B = {x : x is a prime number}, then clearly sets A and B are ________ sets.

1. equal sets
2. disjoint sets
3. finite sets
4. empty sets

Q.

If A = set of even prime numbers, then A is ____.

1. a null set

2. an infinite set

3. not a set

4. a singleton set

Q. $\text{{x: x is an odd number}}$ and $\text{{x: x is an even number}}$ are sets.

1. overlapping
2. equal
3. disjoint

Q. $\text{{x: x is an odd number}}$ and $\text{{x: x is an even number}}$ are sets.

1. equal
2. disjoint
3. overlapping

Q. The sets $A=\{p,q,s,t\}$ and $B=\{a,b,c,d,e\}$ are _____ sets.

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