CDS 2024 · PYQ · Data Sufficiency / Real Numbers · medium
Question: Is xy positive? Statement-I: x = ∛(-0.19683). Statement-II: y = ∛x.
A.If the Question can be answered by one of the Statements alone, but not by the other.
B.If the Question can be answered by either Statement alone.
C.If the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.✓ Correct
D.If the Question cannot be answered even by using both Statements together.
Explanation
Statement I gives x = ∛(-0.19683), which is negative (specifically -0.58 approx), so x < 0 but y is unknown. Statement II says y = ∛x; without sign of x, sign of y unknown. Combining: x < 0, so y = ∛x < 0, hence xy = (negative)(negative) > 0. Both statements needed.
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