Universal Set

Q.

Given, universal set = $\{x:x\in N,10\le x\le 35\}A=\{x\in N:x\le 16\}andB=\{x:x>29\}Find:\left(i\right)A^{\prime }\left(ii\right)B^{\prime }$

Q.

Given the universal set = Universal ~set = $\{x:x\in Nandx<20\}$ ~find:

(i) A = $\{x:x=3p;p\in N\}$

(ii) B = $\{y:y=2n+3,n\in N\}$

(iii) C = $\{x:xisdivisibleby4\}$

Q. Write the following whole numbers in expanded form

a) 444

b) 55055

c) 9494

d) 110011 [4 MARKS]

Q.

Write the following in generalised form:
i) 425

ii) 7799001

iii) 4535

iv) 5621 [4 MARKS]

Q. Identify a perfect number from the following:

1. 6
2. 8126
3. 496
4. 98

Q. 22. The product of four consecutive natural numbers which are the multiples of five is 15000.Find those natural numbers

Q. If A = {2, 4 , 6}, then the universal set of A is ___________ .

1. $\{x:x\in Z\}$
2. None of the above.
3. $\{x:x\in W\}$
4. $\{x:x\in N\}$

Q. Let A and B be two sets in the universal set. Then A-B equals

1. $A\cap B$
2. $A^c\cap B$
3. $A\cap B^c$
4. $Noneofthese$

Q. A set which contains all the sets under consideration as its subsets is called a _______________.

1. complement set
2. null set
3. subset
4. universal set

Q.

Given universal set = $\{x\in Z:-6<x\le 6\},N=\{n:nisanon-negativenumber\}andP=\{x:xisanon-positivenumber\}Find:\left(i\right)N^{‘}\left(ii\right)P^{‘}$

Q.

For 2 sets A, B, A is called a proper subset of B iff

1. A ≠ B

2. A ⊂ B

3. A = B

4. A ⊂ B and A ≠ B

Q. A set which contains all the sets under consideration as its subsets is called a

1. complement set
2. null set
3. subset
4. universal set

Q.

Given the universal set = $\{-7,-3,-1,0,5,6,8,9\}$, find :

Q. A relation from P to Q is

1. A universal set of $P\times Q$
2. $P\times Q$
3. An equivalent set of $P\times Q$
4. A subset of $P\times Q$

Q. A set which contains all the sets under consideration as its subsets is called a

1. null set
2. universal set
3. subset
4. complement set

Q. If A = {2, 4 , 6}, then the universal set of A is ___________ .

1. $\{x:x\in W\}$
2. $\{x:x\in Z\}$
3. $\{x:x\in N\}$
4. None of the above.

Q. The complement of universal set is ____ set.

1. singleton
2. null
3. finite
4. infinite

Q. If A = {2, 4 , 6}, then the universal set of A is ___________ .

1. $\{x:x\in Z\}$
2. $\{x:x\in W\}$
3. None of the above.
4. $\{x:x\in N\}$

Q. Let A = {2, 3, 4, 5} and B = {1, 3, 4}. If R is the relation from A to B given by a R b if "a is a divisor of b". Write R as a set of ordered pairs.

Q. A set which contains all the sets under consideration as its subsets is called a _______________.

1. complement set
2. universal set
3. null set
4. subset

Q. A set which contains all the sets under consideration as its subsets is called a

1. complement set
2. subset
3. null set
4. universal set

Q.

For 2 sets A, B, A is called a proper subset of B iff

1. A ⊂ B

2. A = B

3. A ≠ B

4. A ⊂ B and A ≠ B

Q. A set which contains all the sets under consideration as its subsets is called a _______________.

1. subset
2. null set
3. universal set
4. complement set

Q. If $f\left(x\right)=\frac{x}{x-1}=\frac{1}{y}$, then $f\left(y\right)$ equals

1. $x$
2. $X-1$
3. $x+1$
4. $1-x$