Subset

Q. How many subsets are their for a null set

Q. Given that N = {1, 2, 3, …, 100}, then (i) Write the subset A of N, whose elements are odd numbers. (ii) Write the subset B of N, whose elements are represented by x + 2, where x ∈ N.

Q. If a set has 2 elements then the difference the subsets of its powers set and number of its subset is

Q.

A set contains nine elements.

a) How many subsets does it have?
b) How many proper subsets does it have?

Q.

The number of proper subsets of a set with m elements is

1. N

2. X

3. Y

4. None of these

Q.

Every set is ________.

1. a subset of other sets

2. a subset of itself

3. a subset of a null set

4. a disjoint set

Q. Find the number of proper subsets of the set
$X=\{x^2:xϵN,x^2\le 100\}$

1. 511
2. 1024
3. 1023
4. 512

Q.

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

1. 8

2. 7

3. 6

4. 5

Q.

Which set is the subset of all given sets?

1. $\left\{1,2,3,4,....\right\}$

2. $\left\{1\right\}$

3. $\left\{0\right\}$

4. $\left\{\right\}$

Q. Which set is the subset of all given sets

1. $\{1,2,3,\mathrm{4...}\}$
2. $\left\{1\right\}$
3. $\left\{0\right\}$
4. $\left\{\right\}$

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

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

Q. If $P=\{2,4,6,8,10,12\},Q=\{4,6,8\}$ and $R=\{4,6\}$, then which of the following statements is not correct?

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

Q.

If P = {4, 5, 6, 7, 8, 9}, Q = {2, 3, 4}, R = {4, 5, 8} then which of the following statements are correct ?

1. $P\subseteq Q$

2. $R\subseteq P$

3. Q and R are equivalent sets

4. $Q\subseteq R$

Q. Identify the following as rational or irrational.
(x) $\frac{6}{2\sqrt{3}}$

Q. To find that a rational number is a terminating number formula is numenatur/2ki power m ×5 ki power n explain

Q. If number of subsets of set A is 3968 more than the number of subset of B , find the number of elements in set A and B.

Q. If X = {0, 2, 4, 6}, then the value of n(X) is:

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

Q.

If $X=\{8^n-7n-1|nϵN\}$ and $Y=\{49n-49|nϵN\}$, then

1. $Y\subset X$

2. $X=Y$

3. $X\cap Y=\varphi$

4. $X\subset Y$

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' }

(5 marks)

Q. Calculate the number of proper subsets of $A$, where set $A$ = {$x:x$ is a prime number, $x<19$}.

1. 31
2. 63
3. 127
4. 255

Q.

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

1. 15

2. 7

3. 16

4. 8

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

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

Q. Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set $A\times B$ each having at least three elements is:
(IIT JEE Main 2015)

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

Q.

Find the number of proper subsets of A = {1, 2, 3, 4, 5, 9, 12, 14}

1. 

2. 

3. None of these

4. 

Q. What are non rational numbers ?

Q. Which set is the subset of all given sets

1. $\left\{0\right\}$
2. $\{1,2,3,\mathrm{4...}\}$
3. $\left\{1\right\}$
4. $\left\{\right\}$

Q. If a variable takes values $0,1,2,...,n$ with frequencies $1,{}^n{C}_1,{}^n{C}_2,...,{}^n{C}_n$, then the AM is

1. $n$
2. $\frac{2^n}{n}$
3. $n+1$
4. $\frac{n}{2}$

Q. Write down all possible subsets of each of the following sets.
(i) $\cancel{0}$
(ii) A = {1}
(iii) B = {1, 2}
(iv) C = {a, b, c, d}

Q. If A = {2, 4} and B = {0, 1, 3, 4, 7}, then A - B = _____.

1. { }
2. {4}
3. {2}
4. {0, 1, 3, 7}

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