Is x = 0 ? (1) x^2*y^3 0 (2) x^3*y^2

Question

Is  x = 0  ?

(1)  x^2*y^3 > 0 
(2)  x^3*y^2 < 0

yashikaaggarwal · Answer

1) x^2*y^3 > 0
If x was 0,
x^2*y^3 would have been equal to 0, but it's not.
So, X ≠ 0 
(Sufficient)

2) x^3*y^2 < 0
If x was 0,
x^3*y^2 would have been equal to 0, but it's not.
So, X ≠ 0 
(Sufficient)

Answer is D

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Aditim12 · Answer

If x was equal to zero then both of the statements would be = zero since zero multiplied by any number is zero.
(1) x^2∗y^3>0 this is positive hence, not equal to zero
SUFFICIENT
(2) x^3∗y^2<0 this is negative, not equal to zero
SUFFICIENT
 ANSWER D

Bunuel · Answer

Official Solution:

Is  x = 0 ? 
 
(1)  x^2*y^3 > 0 
 
Note that if  x  were 0,  x^2*y^3  would be 0, not greater than 0. Therefore,  x  cannot be 0, and this statement is sufficient to answer the question.
 
(2)  x^3*y^2 < 0 
 
Similarly, if  x  were 0,  x^3*y^2  would be 0, not less than 0. Therefore,  x  cannot be 0, and this statement is also sufficient to answer the question.

Answer: D

Is x = 0 ? (1) x^2y^3 > 0 (2) x^3y^2 < 0

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GMAT Data Sufficiency (DS) Questions

Is x = 0 ? (1) x^2*y^3 > 0 (2) x^3*y^2 < 0