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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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If a, b, and c are positive, is a + b > c? (1) a/c > b > 1 (2) ab > ac 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
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Last edited by Bunuel on 14 Aug 2012, 23:30, edited 1 time in total.
Edited the question.



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Re: If a, b, and c are positive, is a + b > c? [#permalink]
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14 Aug 2012, 21:45
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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]
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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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