Given question has two statements. Find out whether the question can be…
2025
Given question has two statements. Find out whether the question can be answered with any of the given two statements.
Is (a - b) greater than (a + b)?
I. a and b are negative fractions
II. a and b are positive fractions
- A.
The question can be answered using the statement II alone
- B.
The question can be answered using the statement I alone
- C.
The question can’t be answered even by using both the statements together
- D.
Either of the statements alone is sufficient to answer the question
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Correct answer: D
Answer: Either of the statements alone is sufficient.
Reasoning:
Key algebraic reduction: a - b > a + b. Subtract a from both sides to get -b > b, which simplifies to -2b > 0 and therefore b < 0.
If b is negative (b < 0) — as stated when a and b are negative fractions — the inequality is true, so the answer is "Yes".
If b is positive (b > 0) — as stated when a and b are positive fractions — the inequality is false, so the answer is "No".
Because each statement alone determines the sign of b and hence gives a definite yes/no answer, either statement by itself is sufficient.