Question

Which of the following is a finite set?

• A. The set of positive integers greater than 100.
• B. Set of all 4 digit prime number
• C. Set of points on a line.
• D. Set of all positive integers which are multiple of 5

Answer 1

The correct option is B

Set of all 4 digit prime number

a) Set of integers greater than 100 = {101, 102,.......}. This is not a finite set.

b) The set of all 4 digit prime number= {1009, 1013, 1019,..., 9973}, which is countable and hence finite.

c) There are infinite points on a line. So, the set of points on a line is an infinite set.

d) Set of all positive integers which are multiple of 5 ={5, 10, 15, ...$\infty$}, which is infinite in number, hence not finite.