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If a, b, and c are positive, is a + b > c? [#permalink ]
14 Aug 2012, 20:26

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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, 22:30, 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 ]
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 ]
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?
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14 Aug 2012, 20:58

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