Question: Is (a - b + c) > (a + b - c), where a, b and c are real numbers ?

Statement-I: b is negative.

Statement-II: c is negative.

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CDS Elementary Mathematics 3 Sep 2023 Official Paper

if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
if the question can be answered by using either statement alone.
if the question can be answered by using both the statements together, but cannot be answered using either statement alone.
if the question cannot be answered even by using both the statements together.

Answer 1

Calculation:

(a - b + c) > (a + b - c)

⇒ - b + c > b - c

⇒ -2b > -2c

⇒ b < c

Statement 1. b is negative.

Statement 2. c is negative.

Both statements are not enough to give the correct answer.

∴ The correct answer is option 4

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