If p tan (θ - 30°) = q tan (θ + 120°), then what is (p + q) / (p - q) equal to?

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?

What is the remainder when 7ⁿ - 6n is divided by 36 for n = 100?