# Empty Set

## Trending Questions

**Q.**

A set is a well-defined collection of objects.

a collection of similar objects

a collection of different objects

**Q.**

Let $A=\left\{1,2,3,4,5\right\};B=\left\{2,3,6,7\right\}$. Then the number of elements in $(A\times B)\cap (B\times A)$ is

$18$

$6$

$4$

$0$

**Q.**A set having no element is called the

**Q.**The number of distinct elements in a given set A is called the

**Q.**

The set of even prime numbers that are greater than 2 is a/an _____________.

- singleton set
empty set

infinite set

disjoint set

**Q.**

Define equal sets and equivalent sets.

**Q.**

Define void set.

**Q.**Which of the following is a subset of every set ?

- Universal Set
- {0}
- Null Set
- None of the above

**Q.**

Find the product of first natural number, first whole number and first prime number.

**Q.**

Which of the following represents the empty set?

{0}

{}

∅

{∅}

**Q.**A set having no element is called an empty set.

- True
- False

**Q.**A , B are any non empty sets and n(A) = n(B) can A , B are equal sets ?Justify?

**Q.**Is zero is a negative number or a positive number ?

**Q.**

Which of the following is/are null sets?

A = { x:x∈ N, 2 < x < 10 }

B = { x:x is an even prime number greater than 2 }

C = { x:x is a rational number, x2 - 3 = 0 }

D = {x:x is an odd natural number divisible by 2}

**Q.**

Find the product of first natural number and first prime number.

**Q.**

What is the formula of GP?

**Q.**ntIf f(x) be a periodic function of period t show that, [ integral f(x) dx, with lower limit a and upper limit a+t] is independent of a.n

**Q.**A set A contains 3 elements and set B contains 4 elements. The minimum number of elements in A∩B is

- 3
- 4
- \N
- 7

**Q.**If set A = { x : x is an odd natural number} and

set B = { y: y is an even natural number}, then _____________________

- A∪B is a finite set.
- A∪B is a null set.
- A∩B is a null set.
- A∩B is an infinite set.

**Q.**

If A = {Prime numbers between 19 and 23}, then A is __________.

an equal set

not a set

a null set

an infinite set

**Q.**

${A}_{1},{A}_{2},...,{A}_{30}$are $30$sets, each having $5$elements and ${B}_{1},{B}_{2},...,{B}_{n}$are n sets each with $3$elements. If $\underset{i=1}{\overset{30}{\cup}}{A}_{i}=\underset{j=1}{\overset{n}{\cup}}{B}_{j}=S$ and each element of $S$ belongs to exactly $10$ of the ${A}_{i}$s and exactly $9$ of the ${B}_{j}$s, then the value of $n$ is

$15$

$3$

$45$

None of these

**Q.**

The number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by

n(A ∩ B)

^{I}n(A

^{I}U B^{I})n(U) - n(A ∩ B)

n(U) - n(A U B)

**Q.**

Null set should written in list form nd set builder form

**Q.**

State if True or False.The number of elements in each of universal set , set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by n(U) - n(A U B)

n(A

^{I}U B^{I})n(A ∩ B)

^{I}

**Q.**

Number of elements in each of the universal set, set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by

n(A ∩ B)

^{I}n(A

^{I}U B^{I})n(U) - n(A U B)

n(U) - n(A ∩ B)

**Q.**

Which of the following sets are finite and which are infinite ?

(i) Set of concentric circles in a plane.

(ii) Set of letter of the English Alphabets.

(iii) {x ϵ N;x>5}

**Q.**the number of surjections that can be defined from A={1, 2, 8, 9} to b={3, 4, 5, 10} is?

**Q.**

Let $A=\left\{1,2,3,4\right\}$ $,$ $B=\left\{a,b,c,d\right\}$ and $C=\left\{x:x<5,x\in N\right\}$. State which of the following is true and which is false$.$

$B\leftrightarrow C$

- True
- False

**Q.**If f(x)=x2−1, and g(x)=x−2, then find a, if gof(a)=1. [2 marks]

**Q.**Prove that , null set is a subset of all set .