Consider a question and two statements:<br>Question: Is 3x+2y positive?<br>Statement-I: x^3=-29.8<br>Statement-II: y^3=3x<br>Which one of the following is correct in respect of the question and the statements?
- A. Statement-I alone is sufficient to answer the question
- B. Statement-II alone is sufficient to answer the question
- C. Both Statement-I and Statement-II are together sufficient to answer the question ✓
- D. Both Statement-I and Statement-II are not sufficient to answer the question
Correct Answer: C. Both Statement-I and Statement-II are together sufficient to answer the question
Explanation
From Statement I, x^3 is negative, so x is negative. From Statement II, y^3 = 3x; since x is negative, y^3 is negative, meaning y is also negative. If both x and y are negative, 3x+2y is definitively negative (not positive). Both statements together are sufficient to answer the question with a "No".
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