Question : Is (p + q - r) greater than (p - q + r), where p, q and r are integers ?
Statement-1 : (p - q) is positive.
Statement-2 : (p - r) is negative.

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

Correct Answer: (C) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

Simplifying the question inequality: $p + q - r > p - q + r$$\iff$ 2q > 2r $\iff$ q > r. Statement 1 gives $p - q > 0$$\iff$ p > q, which provides no relationship between $q$ and $r$ (insufficient alone). Statement 2 gives $p - r < 0$$\iff$ p < r, which also provides no relationship between $q$ and $r$ (insufficient alone). Combining both statements yields $q < p < r$, which definitively proves that $q < r$ (answering the question with a conclusive 'No'). Thus, both statements together are sufficient, but neither alone is sufficient.