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

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Math Expert
Joined: 02 Sep 2009
Posts: 56302
Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

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13 Aug 2018, 03:48
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2
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Difficulty:

55% (hard)

Question Stats:

56% (01:40) correct 44% (01:17) wrong based on 51 sessions

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Is x < y ?

(1) y = x^(-3)

(2) x < 0

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NUS School Moderator
Joined: 18 Jul 2018
Posts: 983
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

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13 Aug 2018, 03:57
From statement 1 : Y = $$\frac{1}{x^3}$$. If x is an integer then y<x or else y>x. Hence Insufficient
From statement 2: x<0. Nothing can be concluded. Since we don't the value of Y. Hence Insufficient
Combining 1 & 2 : since x<0. Y will always be greater than x. Hence Sufficient.
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Manager
Joined: 31 May 2018
Posts: 129
Location: United States
Concentration: Finance, Marketing
Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

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13 Aug 2018, 04:22
Bunuel wrote:
Is x < y ?

(1) y = x^(-3)

(2) x < 0

(1) y = x^(-3) if x=2 then y=1/8 no
if x=-2 then y=-1/8 yes. no definite answer so insufficient.
(2) x < 0 we don't know anything about y here so insufficient

both (1)&(2) combined
if x=-2 then y=-1/8 yes.
if x=-1/2 then y=-8 no. no definite answer so insufficient.

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Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

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13 Aug 2018, 05:42
Bunuel wrote:
Is x < y ?

(1) y = x^(-3)

(2) x < 0

Question stem:- Is x<y ?

St1:- $$y = x^(-3)$$

Situations at which st1 is valid:-
a)x=y=1
b)x=y=-1
c)x=2, y=0.5
d)x=0.5,y=2
e)x=-2,y=-0.5
f)x=-0.5, y=-2

Question stem is inconsistent at above circumstances. Insufficient.

St2:- x < 0
Clearly insufficient.

Combined, situation (b), (e), and (f) hold true.
b)x=y=-1
e)x=-2,y=-0.5
f)x=-0.5, y=-2

Again, the question is inconsistent.

Ans. (E)
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Re: Is x < y ? (1) y = x^(-3) (2) x < 0  [#permalink]

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13 Aug 2018, 13:14
Bunuel wrote:
Is x < y ?

(1) y = x^(-3)

(2) x < 0

Statement 1:$$y = \frac{1}{x^3}$$

For x = -1, y = -1.... x = y hence NO

For x = 1/2, y = 8.....x < y hence YES

Statement 1 alone is Not Sufficient

Statement 2: x < 0

Clearly Not Sufficient

Combining both statements

For x = -1, y = -1.....x = y hence NO

For x = -2 , y = -1/8......x < y hence YES

Combining is Not Sufficient.

Thanks,
GyM
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Re: Is x < y ? (1) y = x^(-3) (2) x < 0   [#permalink] 13 Aug 2018, 13:14
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