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:
Answer & explanation
Correct answer: option 2
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.