Proper Set

Q. What is the number of ordered pair (A, B) where A and B are subsets of {1, 2, 3, 4, 5} such that neither A is a proper subset of B nor B is a proper subset of A?

Q. A subset is a set part of the main set. If every element of set A is also an element of set B, then A is a subset of B.

1. True
2. False

Q. If A is subset of B, then the intersection of sets A and B is _____.

1. A
2. Empty set
3. A U B
4. B

Q. Let a set be A = {1, 2, 3} then the number of subsets containing two elements will be _____.

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

Q. The number of proper subsets of the set A = {4, 0, -1} is _____.

1. 8
2. 7
3. 5
4. 3

Q. Set of natural numbers A = $A=\{x:xϵN\}$ is a proper subset of which of the following

1. All of the above.
2. Set of whole numbers $A_1=\{x:xϵW\}$
3. Set of Integers $A_3=\{x:xϵI\}$
4. Set of Real numbers $A_2=\{x:xϵR\}$

Q. If $\text{A}$ and $\text{B}$ are two equal sets, then which of the following is not true?

1. $\text{A}\subseteq \text{B}$
2. $\text{B}\subseteq \text{A}$
3. $\text{A}\in \text{B}$
4. $\text{B}\notin \text{A}$

Q. Let A = {a, b, c}, B = {a}, C = (a, b} then,

(i) Which set given above are the proper subsets of the set A?
(ii) Which set is the superset of C?

Q. If $A$ is a proper subset of $B$, then $n\left(A\right)$$n\left(B\right)$.

1. $<$
2. $>$
3. $=$

Q. The number of sets X , such that X is proper subset of A and X is not a proper subset of B, where A= {a, b, c, d, e} and B= {c, d}?

Q.

The number of proper subsets of the set $\{1,2,3\}$ is ___.

1. 8

2. 7

3. 6

4. 5

Q.

When is A called proper subset of B?

1. A ⊂ B

2. A ≠ B

3. Both A & B

4. Both A & C

5. A = B

Q. If A is subset of B, then the intersection of sets A and B is _____.

1. Empty set
2. A
3. A U B
4. B