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29 May 2014, 13:05
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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:
55%
(hard)
Question Stats:
61% (02:23) correct
39%
(02:44)
wrong
based on 46
sessions
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Date
Time
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Not Attempted Yet
If \(a<0\) and \(b<0\) , is \(\frac{(a-2p)}{(b-2p)}\) \(>\) \(\frac{a}{b}\) ?
(1) \(p>0\)
(2) \(a<b\)
(1) \(p>0\)
(2) \(a<b\)
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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29 May 2014, 21:28
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dhirajx
Took time. We need to find a better way
We need to find \(\frac{(a-2p)}{(b-2p)}\) > a/b
Notice here that the question is asking if we subtract same term from Numerator and Denominator \frac{a}{b} then is the resulting fraction greater than original fraction a/b
you will have 4 case here
a>b, p>0
a>b, p<0
a<b, p<0
a<b, p>0
Clearly St 1 is not sufficient because for p>0, we can have 2 possible cases a>b and b>a and we get different result
Consider a=-3, b=-4 (a>b) and p=1 \(\frac{(-3-2)}{(-4-2)}\) =-5/-6 > -3/-4
Consider a=-4,b=-3 (b>a) and p=1 \(\frac{(-4-2)}{(-3-2)}\) or 6/5 < 4/3
Not sufficient
Similarly st 2 is not sufficient with above reasoning as p >0 or p<0
Combining 2 statements we get a<b and p>0
b=-3,a=-4 and p=1 then
Original fraction = 4/3
New fraction = \(\frac{(-4-2)}{(-3-2)}\) or 6/5 <4/3
Consider another value of p=1/2
\(\frac{(-4-1)}{(-3-1)}\)= or 5/4<4/3
Ans is C
mridupawandas
Joined: 02 May 2014
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Location: India
Concentration: Operations, General Management
Schools: Terry '18 (WL) Katz '18 (D) Tippie '18 (D) Eller FT'18 (A) Schulich Sept"18 (S) Desautels '18 (I) Sauder '18 (S) Olin '18 (S) Neeley '18 (WL) Tulane '18 (A) Moore '18 Fox(Temple)'18 UCSD '18 Weatherhead '18 (S) GWU '18 Simon '18 Madison '18
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Schools: Terry '18 (WL) Katz '18 (D) Tippie '18 (D) Eller FT'18 (A) Schulich Sept"18 (S) Desautels '18 (I) Sauder '18 (S) Olin '18 (S) Neeley '18 (WL) Tulane '18 (A) Moore '18 Fox(Temple)'18 UCSD '18 Weatherhead '18 (S) GWU '18 Simon '18 Madison '18
GMAT 1: 690 Q47 V38
Posts: 93
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04 Dec 2014, 22:44
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any short cut to solve this question...because it took 3 minutes for me to solve it
