If x^3y^4z^5 0?

Question

If  x^3y^4z^5<0 , is  xyz>0 ?

(1)  y<0 
(2)  x<0

gmatophobia · Answer

Given x^3y^4z^5<0 Inference: y can be positive or y can be negative. We can't determine the sign of y. Either x is negative or z is negative, however both are NOT negative. Question xyz>0 Statement 1 y<0 As either x or z is negative, and this statement tells us that y is negative the product xyz will therefore be positive. To visualize this , let's take the below cases Case 1: x = -ve ; z = +ve ; y = -ve xyz = +ve Case 2: x = +ve ; z = -ve ; y = -ve xyz = +ve The statement is sufficient to answer the question "is xyz>0 ". Statement 2 x<0 Using statement 2, we can conclude that x = -ve and z = +ve. However we don't know the sign of y. Hence we cannot conclude whether xyz is positive. Option A

bumpbot · Answer

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If x^3y^4z^5 < 0, is xyz > 0?

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