If a,b, and C are integers, is a-b+c greater than a+b-c? 1) : GMAT Data Sufficiency (DS)
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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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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, 01:27
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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
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01 Mar 2007, 01:36
I think C

The question essiantially asks whether b<c

1) not sufficient
2) not sufficient

1)+2) obviously sufficient
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22 Oct 2007, 06:06
If a,b, and c are integers, is a – b + c greater than a + b – c ?

(1) b is negative.
(2) c is positive.
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22 Oct 2007, 06:29
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

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22 Oct 2007, 22:23
Somehow the OA is (A). Can anyone explain why???
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23 Oct 2007, 01:02
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.
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23 Oct 2007, 05:28
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.
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26 Jan 2008, 13:12
If a, b and c are integers, is a-b+c greater than a+b-c ?

(1) b is negative
(2) c is positive
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26 Jan 2008, 13:30
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
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05 Jul 2008, 13:38
If a,b, and c are integers, is a – b + c greater than a + b – c ?
(1) b is negative.
(2) c is positive.
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05 Jul 2008, 16:02
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.
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05 Jul 2008, 19:39
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
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06 Jul 2008, 06:43
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
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10 Sep 2011, 10:34
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.
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10 Sep 2011, 10:39
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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Re: Number Properties   [#permalink] 10 Sep 2011, 10:39
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