Subset

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

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

Q. Rational numbers are closed under addition, subtraction and multiplication but not under division. There is only one number which if excluded from the set of rational numbers would make it closed for division, the number is

Q.

A set containing 4 elements will have how many subsets ?

1. 16

2. 8

3. 24

4. 32

Q.

For A = {5, 6, 7} how many number of proper subsets will be formed?

1. 7

2. 8

3. 9

4. 6

Q. Given, $A=\left\{Quadrilaterals\right\},B=\left\{Rectangles\right\},C=\left\{Squares\right\}D=\left\{Rhombuses\right\}$. State, giving reasons, whether the following are true or false. (i)$B\subset C\left(ii\right)D\subset B\left(iii\right)C\subseteq B\subseteq A\left(iv\right)D\subset A\left(v\right)B\supseteq C\left(vi\right)A\supseteq B\supseteq D$

Q.

Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {3, 5} and C = {1, 2, 4, 7}, find

(i) A′ ∪ (B ∩ C′)

(ii) (B – A) ∪ (A – C)
$\left[3Marks\right]$

Q. Find the number of proper subsets of the set formed by union of the two given sets.
A = {1, 2, 3} B = {a, 1, b, 2, 3, c}

1. 32
2. 64
3. 63
4. 31

Q.

Given, A = $\left\{Triangles\right\}$, B=$\left\{Isoscelestriangles\right\}$, C=$\left\{Equilateraltriangles\right\}$. State whether the following are true or false. Give reasons. (i)$A\subset B$ (ii)$B\subseteq A$ (iii) $C\subseteq B$ (iv)$B\subseteq A$ (v)$C\subset A$ (vi)$C\subseteq B\subseteq A$

Q. A subset B of the set of first 100 positive integers such that no two elements of B add up to 125. What is the maximum possible number of elements of B

Q.

Write two sets A and B such that $A\subseteq B$and $B\subseteq A$. State the relationship between sets A and B.

Q.

Find all the subsets of each of the following sets :

(i) A = $\{5,7\}$

(ii)B= $\{a,b,c\}$

(iii)C= $\{x:x\in W,x\le 2\}$

(iv){ p:p is a letter in the word 'poor' }

Q.

A set containing 4 elements will have how many subsets ?

1. 16

2. 8

3. 24

4. 32

Q.

If a set has 31 proper subsets, then the number of elements in the set is ___.

1. 4

2. 6

3. 7

4. 5

Q.

Answer the following from the adjoining Venn diagram$.$

Write the members common to $A$ and $B$$.$

Q. If $X=\{4^n-3n-1:nϵN\}andY=\left\{9\right(n-1):nϵN\}$, where N is the set of natural numbers, then $X\cup Y$is equal to:

1. N
2. X
3. Y - X
4. Y

Q.

The number of subsets of a set containing $\mathrm{n}$ elements is?

Q.

If P = $\{x:x\in Wand4\le x\le 8\}$, and Q = $\{x:x\in Nandx<6\}$. Find : (i) $P\cup Q$ and $P\cap Q$ (ii) Is $(P\cup Q)\supset (P\cap Q)$

Q.

If a set has 31 proper subsets, then the number of elements in the set is ___.

1. 6

2. 4

3. 5

4. 7

Q. If $X=8^n-7n-1,n\in NandY=49(n-1),n\in N$, then -

1. X = Y
2. Y ⊆ X
3. X ⊆ Y
4. None of these

Q.

If A={1, 2, 3, 4, 5, 6}, B={1, 2}, then $A-B=C$ . What of the following is true about C?

1. $C=\varphi$

2. $C\subset A$

3. $B=C\cup B$

4. $A=C\cap B$

Q. rational numbers are always associative under division true or false

Q. The lowest rationalizing factor of :

Q.

If $A=\{2,4,6,8,10,12\},B=\{4,6,8\}$ and $C=\{4,6\}$, then which of the following statements are correct?

1. $B\subseteq A$

2. $A\supseteq B$

3. $A\supseteq C$

4. $B\subseteq C$

Q. If $A$ and $B$ are two sets containing four and two elements, respectively. Then, the number of subsets of the set $A\times B$ each having atleast three elements are

1. 219
2. 256
3. 510
4. 275

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. $\{a,b,c,d\}\subseteq \{a,b,c\}$

1. False
2. True

Q. If A = {1, 2, 3} and B = {6, 7, 2}, then A - B = {1, 3}

1. False
2. True

Q. $\{a,b,c,d\}\subseteq \{a,b,c\}$

1. False
2. True

Q. NO IF PRIME NOS p WHICH CAN DIVIDE {30}_{⊂_{15}} WHERE p>15 i

Q.

If $A=\{2,4,6,8,10,12\},B=\{4,6,8\}$ and $C=\{4,6\}$, then which of the following statements are correct?

1. $A\supseteq B$

2. $A\supseteq C$

3. $B\subseteq A$

4. $B\subseteq C$