If a, b, and c are integers, is a - b + c greater than a + b : GMAT Data Sufficiency (DS)
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If a, b, and c are integers, is a - b + c greater than a + b

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If a, b, and c are integers, is a - b + c greater than a + b [#permalink]

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06 Feb 2012, 07:27
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If a, b, and c are integers, is a - b + c greater than a + b - c?

(1) b is negative
(2) c is positive
[Reveal] Spoiler: OA

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Re: if a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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06 Feb 2012, 07:33
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If a, b, and c are integers, is a - b + c greater than a+ b - c?

Is $$a-b+c>a+b-c$$? --> is $$2c>2b$$? --> is $$c>b$$?

(1) b is negative. Clearly insufficient.
(2) c is positive. Clearly insufficient.

(1)+(2) $$(c=positive)>(b=negative)$$. Sufficient.

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Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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18 Mar 2012, 01:25
fiendex wrote:
If a, b, and c are integers, is a - b + c greater than a+ b - c?

1) b is negative
2) c is positive

bunuel,

how did u arrive at 2c>2b? --> is c>b?
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eshwar

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Kudos [?]: 92941 [0], given: 10528

Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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18 Mar 2012, 05:42
pappueshwar wrote:
fiendex wrote:
If a, b, and c are integers, is a - b + c greater than a+ b - c?

1) b is negative
2) c is positive

bunuel,

how did u arrive at 2c>2b? --> is c>b?

a-b+c>a+b-c --> rearrange and cancel a's on both sides: 2c>2b --> reduce by 2: c>b?.

Hope it's clear.
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Re: If a, b, and c are integers, is a - b + c greater than a+ b [#permalink]

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18 Mar 2012, 08:30
hi,

Required Proof : a-b+c>a+b-c => (since integers) 2c>2b (we are not multiplying with a negative sign hence no sign change) => c>b

Now to prove this

Statement 1 : B is negative
We dont know anything about C so Insufficient

Statement 2 : C is positive
We dont know anything about B so Insufficient

Combine : C positive & B Negative

Hence C > B

Sufficient

Hope this helps
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Re: If a, b, and c are integers, is a - b + c greater than a + b [#permalink]

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26 Dec 2015, 17:16
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Re: If a, b, and c are integers, is a - b + c greater than a + b [#permalink]

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13 Mar 2016, 07:52
HERE the question is asking for if B<C or not..
Clearly C is sufficient
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Mock Test -1 (Integer Properties Basic Quiz) ---> http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1676182

Mock Test -2 (Integer Properties Advanced Quiz) --->http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1765951

Give me a hell yeah ...!!!!!

Re: If a, b, and c are integers, is a - b + c greater than a + b   [#permalink] 13 Mar 2016, 07:52
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