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# If x and y are positive, is x^3 > y? (1) square root

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VP
Joined: 13 Jun 2004
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If x and y are positive, is x^3 > y? (1) square root [#permalink]

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16 Oct 2004, 06:59
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If x and y are positive, is x^3 > y?

(1) square root (x)> y
(2) x > y

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Manager
Joined: 13 Oct 2004
Posts: 50

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16 Oct 2004, 07:32
My answer will be E - both not sufficient

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Joined: 31 Dec 1969

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Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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16 Oct 2004, 10:25
1. sqrt(X) >Y. Suff. let sqrt(X) = 4. => X=2 =>X^3 = 8. If 4 is > y then 8 is surely > Y.

2. X>Y. let X=2. if 2>Y then X63 is 8 will surely be > than Y. Suff.

D.

Note: X and Y are positive.

Kudos [?]: [0], given:

Joined: 31 Dec 1969

Kudos [?]: [0], given:

Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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16 Oct 2004, 10:26
1. sqrt(X) >Y. Suff. let sqrt(X) = 4. => X=2 =>X^3 = 8. If 4 is > y then 8 is surely > Y.

2. X>Y. let X=2. if 2>Y then X^3 is 8 will surely be > than Y. Suff.

D.

Note: X and Y are positive.

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Manager
Joined: 13 Oct 2004
Posts: 50

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16 Oct 2004, 11:18
consider a case of fraction
(1) square root (x)> y , this does not mean that x^3 will also be greater than y.

(2) x > y. Same explanation here.

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Intern
Joined: 14 Oct 2004
Posts: 27

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16 Oct 2004, 11:24

If x = 1/9, and y = 1/10

square root of 1/9 = 1/3 which is > (1/10)

1/9 > 1/ 10

but 1/9 ^ 3 = 1/729 which is less than 1/82

so (1) and (2) are insufficient
_________________

Victory always starts in the head. It's a state of mind

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Director
Joined: 16 Jun 2004
Posts: 891

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16 Oct 2004, 11:48
Agree E. considering fractions is key.

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16 Oct 2004, 11:48
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# If x and y are positive, is x^3 > y? (1) square root

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