Disjoint Sets

Q.

Given two finite sets A and B such that n(A) = 3, n(B) = 3. Then total number of relations from A to B is _____.

1. 8

2. 6

3. 4

4. 512

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

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

Q.

Q.

For 2 sets A and B, which of the following is/are true always?

1. A - B = {x : x ∈ A and x ∉ B}

2. The sets A - B, A ∩ B and B - A are mutually disjoint sets.

3. A - B = B - A

4. A ∪ B = {x : x ∈ B and x ∉ A}

Q.

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

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

   

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

   

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

   

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

   

Q. If $M$ and $N$ are two sets such that $n\left(M\right)=17$, $n(M\cup N)=38$ and $n\left(N\right)=23$, find $n(M-N)$.

1. 15
2. 12
3. 8
4. 7

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

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

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

1. disjoint
2. overlapping
3. equal

Q. $\text{If}A=\{x:x=2n,n\in N\}$ and $B=\{x:x\text{is a prime number}\},$ then $A\text{and}B$ are ________ sets.

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

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

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

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 an even number}

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

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

Q. Here, X and Y are disjoint sets.

1. True
2. False