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 Option: The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.

We need to check whether (p + q - r) > (p - q + r), which simplifies upon subtracting p from both sides to: (q - r) > (-q + r) => 2q > 2r => q > r. Thus, the question is effectively asking whether q > r. Statement-1 gives (p - q) > 0 => p > q. This gives no direct information about r. Statement-2 gives (p - r) < 0 => p < r. This gives no direct information about q. Let us check if we can combine them: Statement-1 and Statement-2 give q < p < r, which means q < r. Since we need to know if q > r, and we found q < r, we can definitively answer 'No' to the question. Since Statement-2 alone (or Statement-1 alone) is insufficient, but both together are sufficient, wait, let us re-evaluate each statement alone. Can Statement-2 alone answer it? Statement-2: p - r < 0 => p < r. This alone does not relate q and r. Can Statement-1 alone answer it? No. Using both together, we know q < p and p < r, so q < r, hence (p + q - r) is NOT greater than (p - q + r). Therefore, the question can be answered by using both Statements together, but neither alone. Thus option (c) is correct.