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?

In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one subject, 110 passed in only two subjects and 10 passed in none of the subjects. How many passed in all three subjects?