# Universal Set

## Trending Questions

**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?

18

17

30

35

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

- complement set
- subset
- null set
- 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?

- {10, 11, 12, 14, 15, 18, 21}
- {21}
- {12, 14, 15, 18, 21}
- {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

- subset
- null set
- universal set
- 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}?

{2, 4, 6, 8}

{6, 8, 12, 14}

{4, 10, 12, 14}

{8, 6, 10}

**Q.**Given the universal set:

{−7, −3, −1, 0, 5, 6, 8, 9} and B={x:−3<x<8}

Find B′.

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

- U= {1, 2, 3, 4, 5, 6, 7, 8, 9}
- U = {4, 7, 8}
- U = {1, 2, 4, 7, 8}
- 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(U)=700, n(A)=200, n(B)=300 and n(A∩B)=100, find n(A′∩B′).

**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 2p3p=4k6k=2p+8q3p+12q , then the value of k is

- 4q
- 3q
- 2q
- 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

- R
- W
- Z
- 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

- A universal set of P×Q
- P×Q
- An equivalent set of P×Q
- A subset of P×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

- A∩Bc
- Ac∩B
- A∩B
- None of these

**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 ≤ 9}, A = {x : x = 2P + 1, P ϵ Z , -2 ≤ P ≤ 3}, B = {x : x = q + l, q ϵ Z, 0 ≤ q ≤ 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).