GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Sep 2018, 00:22

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 01 Dec 2011
Posts: 63
If a, b, and c are integers, is a - b + c greater than a + b  [#permalink]

### Show Tags

06 Feb 2012, 08:27
2
1
00:00

Difficulty:

25% (medium)

Question Stats:

75% (00:54) correct 25% (01:14) wrong based on 240 sessions

### HideShow timer Statistics

If a, b, and c are integers, is a - b + c greater than a + b - c?

(1) b is negative
(2) c is positive

_________________

http://en.wikipedia.org/wiki/Kudos

Math Expert
Joined: 02 Sep 2009
Posts: 49300
Re: if a, b, and c are integers, is a - b + c greater than a+ b  [#permalink]

### Show Tags

06 Feb 2012, 08:33
1
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.

_________________
Intern
Joined: 25 Aug 2010
Posts: 17
Re: If a, b, and c are integers, is a - b + c greater than a+ b  [#permalink]

### Show Tags

18 Mar 2012, 02:25
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?
_________________

regards
eshwar

Math Expert
Joined: 02 Sep 2009
Posts: 49300
Re: If a, b, and c are integers, is a - b + c greater than a+ b  [#permalink]

### Show Tags

18 Mar 2012, 06:42
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.
_________________
Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 230
Location: India
Concentration: General Management, Entrepreneurship
Re: If a, b, and c are integers, is a - b + c greater than a+ b  [#permalink]

### Show Tags

18 Mar 2012, 09:30
1
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
_________________

Giving +1 kudos is a better way of saying 'Thank You'.

CEO
Joined: 12 Sep 2015
Posts: 2872
If a, b, and c are integers, is a - b + c greater than a + b  [#permalink]

### Show Tags

Updated on: 07 Jul 2018, 07:11
Top Contributor
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

Target question: Is a - b + c > a + b - c?
This is a great candidate for rephrasing the target question.

Aside: We have a video with tips on rephrasing the target question (below)

Take a - b + c > a + b - c
Subtract a from both sides to get: -b + c > b - c
Add b to both sides to get: c > 2b – c
Add c to both sides to get: 2c > 2b
Divide both sides by 2 to get: c > b

REPHRASED target question: Is c > b?

Statement 1: b is negative.
No information about c, so there's no way to determine whether c > b
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: c is positive.
No information about b, so there's no way to determine whether c > b
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that b is negative
Statement 2 tells us that c is positive
So, it MUST BE THE CASE that c > b
Since we can answer the REPHRASED target question with certainty, the combined statements are SUFFICIENT

RELATED VIDEO

_________________

Brent Hanneson – GMATPrepNow.com

Originally posted by GMATPrepNow on 18 Jan 2018, 10:38.
Last edited by GMATPrepNow on 07 Jul 2018, 07:11, edited 1 time in total.
Intern
Joined: 06 Jul 2018
Posts: 3
Re: If a, b, and c are integers, is a - b + c greater than a + b  [#permalink]

### Show Tags

07 Jul 2018, 00:04
GMATPrepNow 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

Target question: Is 2a – b + c > a – b – 2c?
This is a great candidate for rephrasing the target question.

Aside: We have a video with tips on rephrasing the target question (below)

Take 2a – b + c > a – b – 2c
Add b to both sides to get: 2a + c > a – 2c
Add 2c to both sides to get: 2a + 3c > a
Subtract a from both sides to get: a + 3c > 0

REPHRASED target question: Is a + 3c > 0?

Statement 1: a is positive.
No information about c, so there's no way to determine whether a + 3c > 0

Alternatively, we can examine some conflicting cases that satisfy statement 1 (a is positive):
Case a: a = 1 and c = 1, in which case a + 3c > 0
Case b: a = 1 and c = -1, in which case a + 3c < 0
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: c is positive.
No information about c, so there's no way to determine whether a + 3c > 0

Alternatively, we can examine some conflicting cases that satisfy statement 2 (c is positive):
Case a: a = 1 and c = 1, in which case a + 3c > 0
Case b: a = -5 and c = 1, in which case a + 3c < 0
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that a is positive
Statement 2 tells us that c is positive
If a and c are both positive, then it MUST BE THE CASE that a + 3c > 0
Since we can answer the REPHRASED target question with certainty, the combined statements are SUFFICIENT

Hi, how is the question rephrase from "If a, b, and c are integers, is a - b + c greater than a + b - c?" to "2a – b + c > a – b – 2c"?
Thank you.
CEO
Joined: 12 Sep 2015
Posts: 2872
Re: If a, b, and c are integers, is a - b + c greater than a + b  [#permalink]

### Show Tags

07 Jul 2018, 07:13
Top Contributor
jsuc79 wrote:

Hi, how is the question rephrase from "If a, b, and c are integers, is a - b + c greater than a + b - c?" to "2a – b + c > a – b – 2c"?
Thank you.

Yeesh - looks like I answered a totally different question
I have edited my response (above) accordingly.

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com

Re: If a, b, and c are integers, is a - b + c greater than a + b &nbs [#permalink] 07 Jul 2018, 07:13
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.