If A is the set of prime numbers and B is the set of
two-digit positive integers whose units digit is 5, how
many numbers are common to both sets?
(A) None
(B) One
(C) Two
(D) Five
(E) Nine



Answer :

The correct option is (A) None.

The numbers of digits that are common to both sets is none.

What are sets?

In mathematics, a set is a group of distinct objects that form a group. A set can contain any type of group of items, such as a grouping of numbers, days of the week, vehicle types, and so on.

  • Each element inside the set is referred to as a set element. When writing a set, curly brackets are used.
  • A simple instance of a set could be as follows. Set A = {1,2,3,4,5}. A set's elements can be represented in a variety of ways.
  • A roster form or even a set builder form is typically used to represent sets.

Now, according to the question;

Set A =  {1,3,5,7,11,13,17,19,......} Prime Number Collection (The numbers which have only two factors i.e, 1 and the number itself)

Set B {15,25,35,45,55,......} Set of two-digit positive integers with the unit digit ("5").

Each two-digit positive integer with such a unit digit of 5 has much more than two factors; Set B has 1,5 as well as "itself" as factors.

As a result, these two sets are disjoint sets (no common element).

To know more about sets, here

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