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diff. inequalities

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Source: — Data Sufficiency |

by gmatboost » Thu Aug 25, 2011 10:30 pm
This question has definitely been asked pretty recently. Search for 2b-a or something similar.
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by n@resh » Fri Aug 26, 2011 8:37 am
artstudent wrote:if a is not equal to 2b, Is (2a-b)/(2b-a)> (2b-a)/(2a-b)?

1) a<b

2) 2a<b
from statemen1: a<b, consider a =1 and b = 2 ... then we have 0 > infinity ..
and consider a = -2 and b = -1... then we have infinity > 0... not sufficient!

from statement2: 2a<b, consider a = 2 and b = 5...then we have -1/8 > -8 ...
also consider a = 0 and b = 1... then we have -1/2 > -1...
a = -1 and b = -1.... then we have 1 > 1 ..not determined..
hence not sufficient.
if you combine: a <b and 2a<b, ..consider a = -1 and b = 0 ...thenwe have -2 > -1/2..not possible! also..a = 0 and b = 1... then we have -1/2 > -1...possible!

clearly even this is not sufficient.

ANs: E!
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by navami » Wed Aug 31, 2011 1:16 am
E
This time no looking back!!!
Navami
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