Universal Set

Q. How to construct root 9 on the number line.

Q.

In a group of 50 people who like either coffee or tea, 15 like coffee but not tea and 32 like coffee. How many like tea alone?

1. 18

2. 17

3. 30

4. 35

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. Which of the following numbers is fourth power of a natural number? 6765201 6765206 6765207 6765209

Q. What is the set that represents the universal set?

1. {10, 11, 12, 14, 15, 18, 21}
2. {21}
3. {12, 14, 15, 18, 21}
4. {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21}

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 ∪ = {2, 4, 6, 8, 10, 12, 14}, where U is Universal set and some set A = {2, 4, 10}.
Which of the following is A^C?

1. {2, 4, 6, 8}

2. {6, 8, 12, 14}

3. {4, 10, 12, 14}

4. {8, 6, 10}

Q. Given the universal set:
$\{-7,-3,-1,0,5,6,8,9\}andB=\{x:-3<x<8\}$
Find $B^{\prime }.$

Q. Using the Venn diagram given below, find the universal set.

1. $U$= {1, 2, 3, 4, 5, 6, 7, 8, 9}
2. $U$ = {4, 7, 8}
3. $U$ = {1, 2, 4, 7, 8}
4. $U$= {1, 2, 3, 5, 6, 9}

Q. no of subsets of {1, 2, {3, 4}, 5} would be 16 . write all the subsets

Q. If $A$ and $B$ are two sets and $U$ is the universal set such that $n\left(U\right)=700,n\left(A\right)=200,n\left(B\right)=300$ and $n(A\cap B)=100$, find $n(A^{\prime }\cap B^{\prime })$.

Q. How to simplify root 23

Q. How cardinality of a proper subset is=2^n-1

Q. In a college, $60$ students enrolled in chemistry, $40$ in physics, $30$ in biology, $15$ in chemistry and physics, $10$ in physics and biology, $5$ in biology and chemistry. No one enrolled in all the three. Find how many are enrolled in at least one of the subjects.

Q. Let U be the set of all triangles in a plane . If A is the set of all triangles with at least one angle different from 60° , what is A

Q. If $\frac{2p}{3p}=\frac{4k}{6k}=\frac{2p+8q}{3p+12q}$ , then the value of k is .

1. $4q$
2. $3q$
3. $2q$
4. $q$

Q. Why in the data usually we write, say 1 as 1.0?

Q. The universal set for the set of rational numbers and the set of irrational numbers is

1. R
2. W
3. Z
4. Q

Q. What is complex number?

Q.

Represent the universal set $U=\left\{1,2,3,4,5,6,7\right\}$ and $A=\left\{1,3,5,7\right\}$ by a Venn diagram$.$

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. How to prove that root 5 is an irrational number on a number line. ( NO LINKS).

Q.

Question 76

In the following question, state whether the given statements are true (T) or false (F).
The number of multiples of a given number is finite.

Q. Which set of numbers could be the universal set for the set given below?
A = set of multiples of 5,
B = set of multiples of 7,
C = set of multiples of 12.

Q. If $A=\{1,3,5\},B=\{2,4,6\}$ and $C=\{0,2,4,6,8\}$ then find the universal set.

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

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

Q. What universal set(s) would you propose for the following.
The set of isosceles triangles.

Q. If U = {x : x $ϵ$ Z, -3 < x $\le$ 9}, A = {x : x = 2P + 1, P $ϵ$ Z , -2 $\le$ P $\le$ 3}, B = {x : x = q + l, q $ϵ$ Z, 0 $\le$ q $\le$ 3}, verify De Morgan’s laws for complementation.

Q. Given the sets $A=\{1,3,5\},B=\{2,4,6\}$ and $C=\{0,2,4,6,8\}$, which of the following may be considered as universals set (s) for all the three sets $A,B$ and $C$.
$\{1,2,3,4,5,6,7,8\}$

Q. How to prove that root 3 is an irrational number on a number line. ( NO LINKS).