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# If x and y are positive real numbers, is x > y?

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SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 430 [0], given: 49

If x and y are positive real numbers, is x > y? [#permalink]

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16 Aug 2009, 00:47
1
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Difficulty:

85% (hard)

Question Stats:

46% (01:23) correct 54% (01:15) wrong based on 67 sessions

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If x and y are positive real numbers, is x > y?

(1) x^3/y < 1

(2) x^(1/3)/y < 1
[Reveal] Spoiler: OA

Kudos [?]: 430 [0], given: 49

Senior Manager
Joined: 17 Mar 2009
Posts: 302

Kudos [?]: 588 [0], given: 22

Re: If x and y are positive real numbers, is x > y? [#permalink]

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16 Aug 2009, 02:59
IMO A
stmt1:
x^3/y < 1 , since x and y are positive.

x^3 < y => x<y.
suffi

stmt2:
(X^(1/3)) / y < 1
x^ (1/3) < y
taking cube on both sides
x < y^3
when x =1, y =2, x<y and x<y^3.
when x=4, y=2, x>y and x<y^3.
insuffi

Kudos [?]: 588 [0], given: 22

Director
Joined: 01 Apr 2008
Posts: 875

Kudos [?]: 843 [0], given: 18

Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: If x and y are positive real numbers, is x > y? [#permalink]

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16 Aug 2009, 05:07
yezz wrote:
10)If x and y are positive real numbers, is x > y?

i) x^3/y < 1

ii) (x^1/3)/y < 1

E.
stmt 1:
x^3<y
We can take x=1/2, y=1/2, then x=y.
We can take x=2, y=10 then x<y.
Insufficient

stmt 2:
x<y^3.
If y=2, x=2 then x=y.
If y=2, x=4 then x>y.
Insufficient

Combining, we have the same problem. Insufficient.

Kudos [?]: 843 [0], given: 18

Senior Manager
Joined: 17 Mar 2009
Posts: 302

Kudos [?]: 588 [0], given: 22

Re: If x and y are positive real numbers, is x > y? [#permalink]

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16 Aug 2009, 07:20
Economist wrote:
We can take x=1/2, y=1/2, then x=y.
We can take x=2, y=10 then x<y.
Insufficient

good point... i forgot to consider the rational part of the real number... it is E , i agree.

Kudos [?]: 588 [0], given: 22

Manager
Joined: 08 Jul 2009
Posts: 172

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Re: If x and y are positive real numbers, is x > y? [#permalink]

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02 Sep 2009, 17:53
1
KUDOS
What does real number mean. GMAC never uses such terminology as far as I know.

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Senior Manager
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Re: If x and y are positive real numbers, is x > y? [#permalink]

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31 Jul 2011, 12:38
Shouldnt it be C???
_________________

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GMAT Club Legend
Joined: 09 Sep 2013
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Re: If x and y are positive real numbers, is x > y? [#permalink]

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13 Jun 2016, 18:58
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x and y are positive real numbers, is x > y?   [#permalink] 13 Jun 2016, 18:58
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