Subset

Q.

If a set has n elements, then it has ____ subsets.

1. n²

2. 2ⁿ

3. 2n

4. n

Q.

If a set has 8 subsets, then it contains ___ elements.

1. 8

2. 4

3. 3

4. 2

Q.

The number of subsets of A = {1, 2, 3, 4} is _____.

1. 8

2. 7

3. 6

4. 5

Q.

If A = {set of whole numbers less than 6} and B = {set of prime numbers less than 7}, then

1. A and B are disjoint sets

2. B is a singleton set

3. A is a subset of B

4. B is a subset of A

Q.

If A = {c, a, r, t} and B = {a, r, t}, then

1. A and B are disjoint sets

2. B is a subset of A

3. A is a subset of B

4. B is a superset of A

Q.

A radioactive sample consists of two distinct species having an equal number of atoms initially. The mean lifetime of one species is t and that of the other is 5t. The decay products in both cases are stable. A plot is made of the total number of radioactive nuclei as a function of time. Which of the following figures best represents the form of this plot.

1. 

2. 

3. 

4. 

Q. Assume that $P\left(A\right)=P\left(B\right)$. Prove that $A=B$.

Q. If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then .

1. $P\subseteq Q$
2. $R\subseteq P$
3. $Q\subseteq R$

Q. Let s={1, 2, 3, 4} The total no. Of unordered pairs of disjoint subsets of s is equal to?

Q.

If A = {4, 5, 6, 7, 8, 9}, B = {4, 5, 6}, C = {7, 8, 9} then which of the following statements are correct ?

1. $A\supseteq B$

2. $B\subseteq A$

3. B and C are equivalent sets

4. $B\subseteq C$

Q.

If A = {1, 2, 3} and B = {2, 3}, then ___.

1. A is a subset of B

2. B is a subset of A

3. A and B are disjoint sets

4. A and B are equivalent sets.

Q.

If P = {4, 5, 6, 7, 8, 9}, Q = {4, 5, 6}, R = {7, 8, 9} then which of the following statements are correct ?

1. $Q\supseteq P$

2. $B\subseteq A$

3. B and C are equivalent sets

4. $B\subseteq C$

Q. If $A=\{1,2,3,4\}$, then number of subsets of A is

1. 2
2. 1
3. 8
4. None of these.

Q.

If $A=\left\{\text{Isosceles triangles}\right\}$ and $B=\left\{\text{Isosceles right-angled triangles}\right\},$ then which of the following statements is/are true?

1. $A\subseteq B$

2. $B\subseteq A$

3. $A\cup B=A$

4. $A\cap B=B$

Q. If $A=\{1,2,3\}$, then the numbers of subsets of set $A$ is

1. $28$
2. $24$
3. $8$
4. $16$

Q. 2, 3, 5, 7, 11, 13. The given numbers are ______ numbers.
Choose the correct option(s).

1. Natural
2. Whole
3. Even
4. Prime

Q. For every 60 pages printed by P1, P2 prints 24 pages. If P1 printed 180 pages, then P2 would print 48 pages.

1. False
2. True

Q.

If T = {x: x is a letter in the word "TEETH"} then the number of its subsets is

1. 32

2. 3

3. 4

4. 8

Q. If $A=\{1,2,3,4,5,6,7\}$ then number of proper subsets of $A$ is

1. $2^7$
2. $2^7-2$
3. $2^7-1$
4. $2^6-1$

Q.

Let $S=\{0,1,5,4,7\}$. Then the total number of subsets of S is

1. 40

2. 20

3. 64

4. 32

Q.

Write all the subset of the following

a) {}

b) {3, 5}

c) {2, 4, 6}

Q. Number of non empty subsets of the set consisting $10$ elements in all, is

1. $1023$
2. $1024$
3. $2^{10}-2$
4. $2^9$

Q. What is the number of proper subsets of a given finite set with n elements ?

Q. In the 2 sets A={1, 2, 3} and B={3, 4, 5}. A is a subset of B or B is a subset of A.

Q. In the following, find whether A $\subset$B or B$\subset$A or none of these
A = {x | x $\in$ I, x${}^2<20$}, B={$0,1,2,3,4$}

Q. Number of proper subsets of $\{1,2,3,4,5,6\}$ is

1. $6$
2. $62$
3. $64$
4. $63$

Q. Write all the subsets of the following sets:
$\{3,5\}$

Q. Write down all the subset of the following sets:
$\left\{a\right\}$