2022 · Q41
Consider a question and two statements : Question : Is 3x + 2y positive?Statement - I : x³ = - 29.8Statement - Il : y³ = 3xWhich one of the following is correct in respect of the question and the statements?
Elementary MathematicsNumber System
- AStatement - I alone is sufficient to answer the question
- BStatement - Il alone is sufficient to answer the question
- CBoth Statement - I and Statement - Il are together sufficient to answer the question
- DBoth Statement - I and Statement - Il are not sufficient to answer the question
Explanation
Statement I fixes x = -∛29.8 but leaves y free; statement II fixes y = ∛(3x) but leaves x free. Together both are determined, so 3x+2y is determined (it is negative). Hence the keyed option is C.