Question

Which of the following is an infinite set?

• A. The set of human beings on the earth
• B. The set of water drops in a glass of water
• C. The set of trees in a forest
• D. The set of all prime numbers

Answer 1

The correct option is D The set of all prime numbers

Option $\left(a\right):$ It is having countable number of elements
Option $\left(b\right):$ If we are pouring water drop by drop into glass after sometime an accountable finite number of droplets, the glass will be filled. So, it is finite set.
Option $\left(c\right):$ In a particular forest the number of trees is alsways finite.
Option $\left(d\right):$ Clearly, set of prime numbers is infinitely many. So, it is infinite set.