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# If a,b, and C are integers, is a-b+c greater than a+b-c? 1)

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Manager
Joined: 02 Sep 2006
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If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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01 Mar 2007, 02:27
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60% (00:39) correct 40% (00:30) wrong based on 5 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-a-b-and-c-are-integers-is-a-b-c-greater-than-a-b-127145.html

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Director
Joined: 06 Feb 2006
Posts: 871
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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01 Mar 2007, 02:36
I think C

The question essiantially asks whether b<c

1) not sufficient
2) not sufficient

1)+2) obviously sufficient
Senior Manager
Joined: 19 Feb 2007
Posts: 304
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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22 Oct 2007, 07:06
If a,b, and c are integers, is a – b + c greater than a + b – c ?

(1) b is negative.
(2) c is positive.
Senior Manager
Joined: 04 Jan 2006
Posts: 274
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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22 Oct 2007, 07:29
sidbidus 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.

From question stem, a + b - c < a - b + c
2b < 2c
b < c

As a result, we only need to prove that b < c

1. b < 0, no info about c, INSUFF
2. c > 0, no info about b, INSUFF

1. + 2.) Clearly b (negative) < c (positive), SUFF

Senior Manager
Joined: 19 Feb 2007
Posts: 304
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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22 Oct 2007, 23:23
Somehow the OA is (A). Can anyone explain why???
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Joined: 07 Jul 2004
Posts: 4869
Location: Singapore
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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23 Oct 2007, 02:02
Case1:
a-b+c > a+b-c?
-2b > -2c?
b < c?

Case2:
a-b+c < a+b-c
-2b < -2c
b > c

St1:
If b = -1 and c = 2, then a-b+c > a+b-c
If b = -1 and c = -2, then a-b+c < a+b-c
Insufficient.

St2:
If c = 2, and b = 1, then a-b+c > a+b-c
If c = 2 and b = 3, then a-b+c < a+b-c
Insufficient.

St1 and St2:
If c is positive and b is negative, then b<c and so a-b+c > a+b-c. Sufficient.

I go for C too.
Intern
Joined: 09 Oct 2007
Posts: 17
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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23 Oct 2007, 06:28
sidbidus wrote:
Somehow the OA is (A). Can anyone explain why???

OA is not A. This is the question 17 from OG 10, DS Sample Set, page 238. OA is C.
Manager
Joined: 23 Jan 2008
Posts: 108
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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26 Jan 2008, 14:12
If a, b and c are integers, is a-b+c greater than a+b-c ?

(1) b is negative
(2) c is positive
Senior Manager
Joined: 22 Sep 2005
Posts: 262
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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26 Jan 2008, 14:30
blog 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

C

a-b+c > a+b-c. Then a-a+2c > 2b.

1) INSUF because we don't know anything about b
2) INSUF " " c

Both together, SUF
VP
Joined: 03 Apr 2007
Posts: 1177
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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05 Jul 2008, 14:38
If a,b, and c are integers, is a – b + c greater than a + b – c ?
(1) b is negative.
(2) c is positive.
Senior Manager
Joined: 12 Apr 2008
Posts: 497
Location: Eastern Europe
Schools: Oxford
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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05 Jul 2008, 17:02
Quote:
If a,b, and c are integers, is a – b + c greater than a + b – c ?
(1) b is negative.
(2) c is positive.

If we transform the inequality, we can see that the question asks us whether b<c.
(transformation: a – b + c > a + b – c <=> - b+c > b-c <=> c>b)

St 1. doesn’t help us to answer the question – c could be anything, and thus we can conclude nothing about the inequality. You can construct examples if you like.
Similarly, St 2. is also insufficient.

Together: b<0<c => b<c => inequality is true.

Hence, C.
VP
Joined: 28 Dec 2005
Posts: 1462
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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05 Jul 2008, 20:39
I think its C. The question is basically asking you to determine if c > b .

From stat 1, you know b is neg, but you dont know if c>b, i.e. c=-2 and b=-1, or c=-1 and b=-2. Insuff.

Same argument for stat 2.

Together, you know that c>b since c is positive and b is negative
VP
Joined: 03 Apr 2007
Posts: 1177
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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06 Jul 2008, 07:43
greenoak wrote:
Quote:
If a,b, and c are integers, is a – b + c greater than a + b – c ?
(1) b is negative.
(2) c is positive.

If we transform the inequality, we can see that the question asks us whether b<c.
(transformation: a – b + c > a + b – c <=> - b+c > b-c <=> c>b)

St 1. doesn’t help us to answer the question – c could be anything, and thus we can conclude nothing about the inequality. You can construct examples if you like.
Similarly, St 2. is also insufficient.

Together: b<0<c => b<c => inequality is true.

Hence, C.

I used the same approach
Intern
Joined: 19 Sep 2010
Posts: 11
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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10 Sep 2011, 11:34
Id a,b, and c are integers, is a-b+c > a+b-c ?
1) b is negative.
2) c is positive.

c>b, it is from the question after doing subtractions and additions, now my question is statement 2 is sufficient to answer the question. but the answer is not b. any one please explain.
VP
Joined: 24 Jul 2011
Posts: 1489
GMAT 1: 780 Q51 V48
GRE 1: Q800 V740
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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10 Sep 2011, 11:39
Is a - b + c > a + b - c
=> Is c > b ?

Using statement (1): c could still be greater or lesser than b even if b is negative. Insufficient.
Using statement (2): c could still be greater of lesser than b even if c is positive. Insufficient.

Combining (1) and (2): If b is negative and c is positive then c is definitely greater than b. Sufficient.

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Joined: 02 Sep 2009
Posts: 50042
Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1)  [#permalink]

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24 Nov 2017, 09:04
faifai0714 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

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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-a-b-and-c-are-integers-is-a-b-c-greater-than-a-b-127145.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: If a,b, and C are integers, is a-b+c greater than a+b-c? 1) &nbs [#permalink] 24 Nov 2017, 09:04
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