Question Is p q r greater than p q r where p q and r are integers Statement 1 p q is positive Statem...........

Math and Mental Ability Data Sufficiency

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 ?

This questions was previously asked in

Complete-Test, Previous year (2023)

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

The Question can be answered by using either Statement alone.

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

The Question cannot be answered even by using both the Statements together.

Sure, here is the explanation:

- Statement 1: (p-q) is positive, meaning p > q.

- Alone, this does not allow us to conclude if (p+q-r) is greater than (p-q+r).

- Statement 2: (p-r) is negative, meaning p < r.

- Alone, this also does not help us determine the inequality between (p+q-r) and (p-q+r).

- Using both statements together:

- From Statement 1: p > q

- From Statement 2: p < r

- Combining: q < p < r implies q < r,

- Thus, (p+q-r) becomes less than (p-q+r).

- Answer: The correct option is 3. We need both statements to answer the question.

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