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# If x and y are positive, is x3 > y? (1) x > y (2) x > y

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Manager
Joined: 06 Apr 2010
Posts: 144
Location: Pune
Schools: INSEAD, ISB, HKUST, HEC Paris, Warwick
WE 1: 2 yrs Credit Analyst
WE 2: 5 yrs Transition Manager
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Kudos [?]: 31 [0], given: 11

If x and y are positive, is x3 > y? (1) x > y (2) x > y [#permalink]  23 Jun 2010, 11:30
I have problem in solving following DS questions from SET1 (I don't know the source of this). Can anyone help me in resolvign them?

DS Questions: Need help

Q16:
If x and y are positive, is x3 > y?
(1) x > y
(2) x > y
Manager
Joined: 03 May 2010
Posts: 89
WE 1: 2 yrs - Oilfield Service
Followers: 9

Kudos [?]: 52 [0], given: 7

Re: Need Solution for some DS problems from SET1 [#permalink]  23 Jun 2010, 23:29
Statement 1 is actually "root(x) > y"

x>0 and y>0 Is x^3 > y?

From statement 1:
root(x) > y
Test cases:
x = 4 and y = 1 => root(x) = 2 > 1. x^3 = 64 > 1 ... Answer : Yes
x = 0.01 and y = 0.005 => root(x) = 0.1 > 0.05. x^3 = 0.001 < 0.005 ...Answer: No
INSUFFICIENT

From statement 2:
x > y
Test cases:
x = 2 and y = 3 => x^3 = 8 > 3. Answer -Yes
x = 0.1 and y = 0.01 => x^3 = 0.001 < 0.01. Answer - No
INSUFFICIENT

Both 1 and 2 together:
Test cases:
x = 4 and y = 1 satisfies both statements, and x^3 > y is true.
x = 0.01 and y = 0.005 satisfies both statements and x^3>y is false.
INSUFFICIENT.

Pick E.
Re: Need Solution for some DS problems from SET1   [#permalink] 23 Jun 2010, 23:29
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