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# Is a > c?

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Manager
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26 Jan 2010, 05:38
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71% (02:04) correct 29% (00:59) wrong based on 136 sessions

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Is a > c?

(1) b > d
(2) ab^2 – b > b^2c – d

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-a-c-137240.html
[Reveal] Spoiler: OA
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Re: Is a > c (Data Sufficiency) [#permalink]

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26 Jan 2010, 07:15
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IMO ans should be C.

1. clearly not sufficient.
2. ab^2 - b > cb^2-d

=> ab^2-cb^2 >b-d ==> (a-c) * b^2 > b-d
==> (a-c) * b^2 > 0 using equation 1.
since this is > 0 . b cannot be zero.

=> a-c > (b-d)/ b^2

since b> d given in 1. => a-c >0

hence a>c

Hence ans is C
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Last edited by gurpreetsingh on 26 Jan 2010, 08:08, edited 1 time in total.
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Re: Is a > c (Data Sufficiency) [#permalink]

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26 Jan 2010, 07:26
C, for the same reason stated above
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Re: Is a > c (Data Sufficiency) [#permalink]

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26 Jan 2010, 07:58
Thanks. But ain't we making an assumption here that b is not equal to 0?

Just a clarification (may b for all similar problems):
- should we also consider a possibility that b = 0 in such cases. What happens then?
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Re: Is a > c (Data Sufficiency) [#permalink]

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26 Jan 2010, 08:08
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sudip135 wrote:
Thanks. But ain't we making an assumption here that b is not equal to 0?

Just a clarification (may b for all similar problems):
- should we also consider a possibility that b = 0 in such cases. What happens then?

I have modified my post. Please check. condition for B=0 has been solved.
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Re: Is a > c (Data Sufficiency) [#permalink]

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26 Jan 2010, 09:01
alexBLR wrote:
hm, confused now

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Re: Is a > c (Data Sufficiency) [#permalink]

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26 Jan 2010, 09:26
got it, that b=0 situation was a bit confusing,...thanks
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Re: Is a > c (Data Sufficiency) [#permalink]

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17 Dec 2011, 23:12
+1 C

I am noticing that the key to solve these inequalities is to manipulate them.
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Re: Is a > c (Data Sufficiency) [#permalink]

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12 Aug 2013, 08:32
1> b>d insuff.
2> in second we derived a-c > (b-d)/b^2 insuff
combine 1 and 2
if b =-2 and d =-3 then in that case RHS = (-2+3)/4 = +ve
if b = 3 and d = 2 then RHS = (3-2)/9 = +ve
if b = 2 and d =-1 then RHS = (2+1)/4 = +ve

Means we will always get some positive value in RHS thus.
a > +ve + c now here we can see a is greater than +ve+c means c is less than a.

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Re: Is a > c (Data Sufficiency) [#permalink]

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12 Aug 2013, 08:52
jusjmkol740 wrote:
Is a > c?

(1) b > d
(2) ab2 – b > b2c – d

...
brother post it in the data sufficiency section. this is the problem solving area...
ok
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Re: Is a > c (Data Sufficiency) [#permalink]

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12 Aug 2013, 08:55
this question was posted in 2010
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Re: Is a > c (Data Sufficiency) [#permalink]

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12 Aug 2013, 09:25
OPEN DISCUSSION OF THIS QUESTION IS HERE: is-a-c-137240.html
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Re: Is a > c (Data Sufficiency)   [#permalink] 12 Aug 2013, 09:25
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