In a school, all the students play atleast one of thee indoor games - chess, carrom and table tennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.

What can be the maximum number of students in the school?

Consider the following statements:

I. The set of all irrational numbers between $\sqrt{12}$ and $\sqrt{15}$ is an infinite set.

II. The set of all odd integers less than 1000 is a finite set.

Which of the statements given above is/are correct?

Let P and Q be two non-void relations on a set A. Which of the following statements are correct?

I. P and Q are reflexive ⇒ P ∩ Q is reflexive.

II. P and Q are symmetric ⇒ P ∪ Q is symmetric.

III. P and Q are transitive ⇒ P ∩ Q is transitive.

Select the answer using the code given below.

If A and B are two non-empty sets having 10 elements in common, then how many elements do A x B and B x A have in common?