If x^3y^5 0, and x^2z^3

Question

If x^3y^5 > 0 , and x^2z^3 <0 , which of the following must be true ? I. xy >0 II. \frac{x^2}{z}<0 III. xyz<0 A. I only B. III only C. I and II only D. I and III only E. I, II and III This is a PS Butler Question Check the links to other Butler Projects: Data Sufficiency Butler Critical Reasoning Butler Sentence Correction Butler Reading Comprehension Butler Integrated Reasoning Butler

divyadna · Answer

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gmatophobia · Answer

x^3y^5 > 0 x and y share the same sign. Both x and y are positive or both x and y are negative. Therefore x*y is always positive. x^2z^3 <0 x^2 is positive in this case, therefore z is negative Option Evaluation I. xy >0 True , we have already determined this II. \frac{x^2}{z}<0 True , as z is negative. x^2 is positive. III. xyz<0 True , x*y is positive & z is negative. Option E

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If x^3y^5 > 0, and x^2z^3 <0, which of the following must be true ?

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