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# If a, b, and c are positive, is a + b > c?

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Manager
Joined: 25 Jul 2012
Posts: 73

Kudos [?]: 120 [0], given: 137

Location: United States
If a, b, and c are positive, is a + b > c? [#permalink]

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14 Aug 2012, 21:26
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71% (00:50) correct 29% (00:53) wrong based on 56 sessions

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If a, b, and c are positive, is a + b > c?

(1) a/c > b > 1

(2) ab > ac

[Reveal] Spoiler:
Can anyone explain why this is D?

I understand
1)[a/c]>b>1 =a>bc>c, so a>c, sufficient

I dont understand: "b must remain positive so a+b>c". Can someone explain to me what this means or what property they are referring to?

2)ab>ac = b>c, sufficient
same vice/versa explanation here: "a must remain positive so a+b>c" Need this one explained too.

Thanks

Also, does anyone know similar problems to this in the OG13? I need to practice these types of questions, especially in DS. Thanks
[Reveal] Spoiler: OA

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Last edited by Bunuel on 14 Aug 2012, 23:30, edited 1 time in total.
Edited the question.

Kudos [?]: 120 [0], given: 137

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 618

Kudos [?]: 795 [2], given: 59

Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: If a, b, and c are positive, is a + b > c? [#permalink]

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14 Aug 2012, 21:45
2
KUDOS
If a, b, and c are positive, is a + b > c?

1) [a/c]>b>1

2)ab>ac

Hi,

Stat1:

a/c > b > 1

taking a/c >1 we have
a>c ..(1)
taking b>1 we have
b>1 ...(2)

adding 1 and 2 we have
a + b > c+1 which is obviously > c
=> a + b > c, So, SUFFICIENT

Stat2:
ab > ac
cancel a so we have b > c

since b is > c so if we add any positivie number to b (i.e. a) then the sum will also be greater than c
So, a+ b> C so SUFFICIENT!

Hope it helps!
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Kudos [?]: 795 [2], given: 59

Manager
Joined: 25 Jul 2012
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Kudos [?]: 120 [0], given: 137

Location: United States
Re: If a, b, and c are positive, is a + b > c? [#permalink]

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14 Aug 2012, 21:58
Thank you

Sorry I didn't realize this was posted in the PS section
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Re: If a, b, and c are positive, is a + b > c? [#permalink]

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14 Nov 2015, 00:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If a, b, and c are positive, is a + b > c?   [#permalink] 14 Nov 2015, 00:11
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