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23 May 2010, 00:33
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:42) correct
26%
(01:48)
wrong
based on 193
sessions
History
Date
Time
Result
Not Attempted Yet
23 May 2010, 02:38
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dimitri92
Is \(x^3>y^2\)?
(1) \(y=x^2\) --> question becomes: is \(x^3>x^4\)? Not sufficient. (For \(0<x<1\) answer is YES but for other values of \(x\) answer is NO)
(2) \(x>x^2\). No info about \(y\). Not sufficient. But form this statement: \(x^2-x<0\) --> \(0<x<1\).
(1)+(2) For any value of \(x\) from the range \(0<x<1\) (from 2) inequality \(x^3(1-x)>0\) holds true. Sufficient.
Answer: C.
07 Jan 2015, 12:10
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Hi All,
This question can be solved by TESTing VALUES and using the Number Properties that are built-into this question to our advantage.
We're asked if X^3 > Y^2. This is a YES/NO question.
Fact 1: Y = X^2
IF....
X = 0
Y = 0
Is 0^3 > 0^2? The answer to the question is NO.
X = 1/2
Y = 1/4
Is (1/2)^3 > (1/4)^2? The answer to the question is YES.
Fact 1 is INSUFFICIENT
Fact 2: X > X^2
This tells us nothing about Y, so we can quickly deduce that it's insufficient.
However, this info provides us with some serious RESTRICTIONS about X...
X CANNOT be 0
X CANNOT be negative
X CANNOT be greater than or equal to 1
X CAN ONLY BE a POSITIVE FRACTION (that info will come in handy in just a moment).
Fact 2 is INSUFFICIENT.
Combined, we know...
Y = X^2
X is a POSITIVE FRACTION
Under these restrictions, we can rewrite the original question
Is X^3 > Y^2?
as...
Is X(X^2) > X^2?
Since X must be a positive fraction, X^3 will always be SMALLER than X^2, so the answer to the question is ALWAYS NO.
Combined, SUFFICIENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing VALUES and using the Number Properties that are built-into this question to our advantage.
We're asked if X^3 > Y^2. This is a YES/NO question.
Fact 1: Y = X^2
IF....
X = 0
Y = 0
Is 0^3 > 0^2? The answer to the question is NO.
X = 1/2
Y = 1/4
Is (1/2)^3 > (1/4)^2? The answer to the question is YES.
Fact 1 is INSUFFICIENT
Fact 2: X > X^2
This tells us nothing about Y, so we can quickly deduce that it's insufficient.
However, this info provides us with some serious RESTRICTIONS about X...
X CANNOT be 0
X CANNOT be negative
X CANNOT be greater than or equal to 1
X CAN ONLY BE a POSITIVE FRACTION (that info will come in handy in just a moment).
Fact 2 is INSUFFICIENT.
Combined, we know...
Y = X^2
X is a POSITIVE FRACTION
Under these restrictions, we can rewrite the original question
Is X^3 > Y^2?
as...
Is X(X^2) > X^2?
Since X must be a positive fraction, X^3 will always be SMALLER than X^2, so the answer to the question is ALWAYS NO.
Combined, SUFFICIENT.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
