2023 · Q75
Item contains a Question followed by two Statements. Answer each item using the following instructions : Question : Can the value of (x + y) be determined uniquely?
Statement I(x + y)⁴ = 256.
Statement II(x + y)³ < 16.
Elementary MathematicsAlgebra
- AChoose this option if the Question can be answered by one of the Statements alone but not by the other.
- BChoose this option if the Question can be answered by either Statement alone.
- CChoose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DChoose this option if the Question cannot be answered even by using both Statements together.
Explanation
Statement I gives (x + y)⁴ = 256, i.e. x + y = ±4 — not unique. Statement II gives (x + y)³ < 16, i.e. x + y < ∛16 ≈ 2.52 — not unique. Together they force x + y = −4 uniquely. Both statements are needed (C).