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?

If P means 'greater than (>); Q means 'less than (<)'; R means 'not greater than (≤)'; S means 'not less than (≥) and T means 'equal to (=)', then consider the following statements:

1. If 2x(S)3y and 3x(T)4z, then 9y(P)8z.

2. If x(Q)2y and y(R)z, then x(R)z.

Which of the statements given above is/are correct?

What will come in place of * in the sequence 3, 14, 39, 84, *, 258?

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?