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

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If a, b, and c are positive, is a + b > c? [#permalink] New post 14 Aug 2012, 20:26
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

62% (01:30) correct 38% (00:17) wrong based on 13 sessions
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, 22:30, edited 1 time in total.
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Re: If a, b, and c are positive, is a + b > c? [#permalink] New post 14 Aug 2012, 20:45
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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!

Hence Answer is D.

Hope it helps!
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Re: If a, b, and c are positive, is a + b > c? [#permalink] New post 14 Aug 2012, 20:58
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] 14 Aug 2012, 20:58
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