Question

2..
Which of the following is a finite set ?
A) Set of factors of 2020
B) Set of multiples of 20
C) Set of integers less than 5

D) Set of rational numbers less than 5​

Answer 1

Answer:

A)set of factors of 2020

factors are upto a limit

because multiples,integers,rational numbers are infinite

Answer 2

The set of factors of 2020 is a finite set.

Given:

A) Set of factors of 2020

B) Set of multiples of 20

C) Set of integers less than 5

D) Set of rational numbers less than 5​

To find:

Which of the following is a finite set?

Solution:

Finite sets:

The sets with a finite or distinct number of elements are known as Finite sets. Here the number of elements might be big but not infinity.

Let's know the number of elements in each set

A) Set of factors of 2020

=> { 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010 }

Here the number of elements is 11 which is a distinctive number

∴  The set of factors of 2020 is a finite set

B) Set of multiples of 20

=> { 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 ...  }

Here we cannot determine the number of multiples

∴ The set of multiples of 20 is not a finite set

C) Set of integers less than 5

=> {0, -1, -2, -3, -4, -5, -6, -7... }

Here the number of elements cannot be determined

∴ The Set of integers less than 5 is not a finite set

D) Set of rational numbers less than 5​

=> Here the set will include all rational numbers which are less than 5  

Hence, we cannot determine the number of elements

∴ The Set of rational numbers less than 5​ is not a finite set

Therefore,

The set of factors of 2020 is a finite set.

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