A Question is given followed by two Statements I and II. Consider the Question and the Statements.

Question:

Is $(x + y)$ an integer?

Statement-I:

$ (2x + y) $ is an integer.

Statement-II:

$ (x + 2y) $ is an integer.

Which one of the following is correct in respect of the above Question and the Statements?

In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q - S = 2S and T = R + S + 3, then what is the value of P + R - T?

Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following :

1. p + q + r - s - t is definitely even.

2. 2p + q + 2r - 2s + t is definitely odd.

Which of the above statements is/are correct?