MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Finite and Infinite Set

Which of the ...

Question

Which of the following is a finite set ?

A

A = {x : x \in N and x is a prime number}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

B = {x : x is a real number between 1 and 10}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

C = {x : x is a perfect square number between 0 and 99}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

D = {x : x is an integer less than 20}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $C = {x : x is a perfect square number between 0 and 99}$
$A = {x : x \in N and x is a prime number}$
There are infinite prime numbers.
$\Rightarrow A$ is not a finite set.

$B = {x : x is a real number between 1 and 10}$
There are infinite real numbers between $1$ and $10.$
$\Rightarrow B$ is not a finite set.

$C = {x : x is a perfect square number between 0 and 99}$
$C = {1, 4, 9, 16, 25, 36, 49, 64, 81}$
$\Rightarrow C$ is a finite set.

$D = {x : x is an integer less than 20}$
There are infinite integers below $20.$
$\Rightarrow D$ is not a finite set.

Suggest Corrections

thumbs-up

1

Similar questions

Q. State which of the following are finite sets.

(i) {x : x \in N}

(x - 1) (x - 2) = 0.

(i i) {x : x \in N}

x

(i i) {x : x \in N}

x

Q. State which of the following sets are finite or infinite:

(i)

{x : x \in N and (x - 1) (x - 2) = 0}

(i i)

{x : x \in N and x^{2} = 4}

(i i i)

{x : x \in N and 2 x - 1 = 0}

(i v)

{x : x \in N and x is prime}

(v)

{x : x \in N and x is odd}

Q. Write the following sets in Roster form
(i)

A = {x : x \in N, 2 < X \leq 10}

B = {x : x \in Z, - \frac{1}{2} < X < \frac{11}{2}}

C =

x : x

is a prime number and a divisor of 6 }
(iv)

X =

x : x = 2^{n}, n \in N

n \leq 5

M = {x : x = 2 y - 1, y \leq 5, y \in W}

P =

x : x

x^{2} \leq 16

Q. Taking the set of natural numbers as the universal set, write down the complements of the following set:

(i) {x : x

is an even natural number

}

(i i) {x : x

is an odd narutal number

}

(i i i) {x : x

is a positive multiple of

3}

(i v) {x : x is a prime number}

(v) {x : x is a natural number divisible by 3 and 5}

(v i) {x : x is a perfect square}

(v i i) {x : x is a perfect cube}

(v i i i) {x : x + 5 = 8}

(i x) {x : 2 x + 5 = 9}

(x) {x : x \geq 7}

(x i) {x : x \in N and 2 x + 1 > 10}

A \cup B

A \cap B

for the following sets.
(i)

A = {0, 1, 2, 4, 6}

B = {- 3, - 1, 0, 2, 4, 5}

A = {2, 4, 6, 8}

B = \emptyset

A = {x : x \in N, x \leq 5}

B =

x : x

is a prime number less than 11}
(iv)

A = {x : x \in N, 2 < x \leq 7}

B = {x : x \in W, 0 \leq x \leq 6}

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Finite and Infinite Set

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon