If x and y are negative integers, then which of the following statements is/are always true?

(A) x + y is positive integer.
(B) xy is positive integer.
(C) x - y is positive integer.

Choose the correct answer from the options given below:

(B) only

The correct answer is Option (2) → (B) only

Step 1: Analyze each statement

(A) $x + y$ is a positive integer

• If $x, y < 0$, then $x + y < 0$
  Not true

(B) $xy$ is a positive integer

• Negative × Negative = Positive
• Always true for negative integers
  True

(C) $x – y$ is a positive integer

• $x - y = x + (-y) = x + |y|$
• Since $x < 0$ and $|y| > 0, x – y$ could be negative or positive, depending on magnitude.
  Not always true

Step 2: Conclusion

Only statement (B) is always true.