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What is he maximum value of a/b? 1. a, a + b and a + 2b are

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What is he maximum value of a/b? 1. a, a + b and a + 2b are [#permalink] New post 28 May 2010, 09:39
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What is he maximum value of a/b?
1. a, a + b and a + 2b are three sides of a triangle.
2. a and b both are positive.
If statement (1) alone is sufficient to answer the question.
If statement (2) alone is sufficient to answer the question.
If statement (1) and Statement (2) together are sufficient but neither of the two alone is sufficient to answer the question.
If either statement (1) or Statement (2) alone is sufficient to answer the question.
Both statement (1) and statement (2) are insufficient to answer the question.
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Re: Geometry - DS [#permalink] New post 29 May 2010, 08:04
OA is E
but i thought, statement A , says they are sides of triangle and something is added to a which cannot be negative, thus we can conclude based on that

achan wrote:
IMO E


OA please?

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Re: Geometry - DS [#permalink] New post 29 May 2010, 08:19
The point is that how will you calculate the maximum value of a/b from the sides of the triangle.

(A) doesn't help in getting the maximum value of a/b, hence it is ruled out.
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Re: Geometry - DS [#permalink] New post 29 May 2010, 11:12
I tried to figure out some way, but couldn't.

We know that the sum of two sides of a traingle is greater than the third side.

Hence, a + (a+b) > a+2b
=>> 2a+b > a+2b
=>> a > b

But this doesn't give any clue of finding max value of a>b. Hence "E" is the answer.

Interesting point is that if we had solved from smt 1 that a<b then, we could have got the answer i.e 0.99999... but that still will be a indefinite number. Correct me if I am wrong.
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Re: Geometry - DS [#permalink] New post 30 May 2010, 01:09
I also solved it the same way as hussain did... E is the ans.

OA plz...
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Re: Geometry - DS [#permalink] New post 31 May 2010, 07:57
Simple enough.

Is this really a 700+ ques?
Re: Geometry - DS   [#permalink] 31 May 2010, 07:57
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