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C
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Difficulty:
45%
(medium)
Question Stats:
67% (01:50) correct
33%
(01:38)
wrong
based on 126
sessions
History
Date
Time
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Not Attempted Yet
Is \(\frac{1}{x^5} > \frac{y}{(y^6+1)}\)?
(1) x = y
(2) y > 0
Untitled.jpg [ 15.06 KiB | Viewed 5476 times ]
(1) x = y
(2) y > 0
Attachment:
Untitled.jpg [ 15.06 KiB | Viewed 5476 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
10 Feb 2011, 14:52
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Is 1/x^5 > y/(y^6+1)?
(1) x=y --> is \(\frac{1}{y^5}>\frac{y}{y^6+1}\)? Two cases:
A. \(y<0\) --> cross multiply and as for negative \(y\): \(y^5<0\) and \(y^6+1>0\) flip the sign (because of negative \(y^5\)). The question becomes: is \(y^6+1<y^6\)? --> is \(1<0\)? In this case the answer would be NO.
B. \(y>0\) --> cross multiply and as for positive \(y\) both \(y^5\) and \(y^6+1\) are positive remain the sign. The question becomes: is \(y^6+1>y^6\)? --> is \(1>0\)? In this case the answer would be YES.
(2) y>0. Clearly insufficient as no info about \(x\).
(1)+(2) As from (2) \(y>0\) then we have case B and the answer is YES. Sufficient.
Answer: C.
(1) x=y --> is \(\frac{1}{y^5}>\frac{y}{y^6+1}\)? Two cases:
A. \(y<0\) --> cross multiply and as for negative \(y\): \(y^5<0\) and \(y^6+1>0\) flip the sign (because of negative \(y^5\)). The question becomes: is \(y^6+1<y^6\)? --> is \(1<0\)? In this case the answer would be NO.
B. \(y>0\) --> cross multiply and as for positive \(y\) both \(y^5\) and \(y^6+1\) are positive remain the sign. The question becomes: is \(y^6+1>y^6\)? --> is \(1>0\)? In this case the answer would be YES.
(2) y>0. Clearly insufficient as no info about \(x\).
(1)+(2) As from (2) \(y>0\) then we have case B and the answer is YES. Sufficient.
Answer: C.
10 Feb 2011, 14:58
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Thank you, Bunuel!!!
