a data from gmat club

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a data from gmat club

by diebeatsthegmat » Fri Jun 17, 2011 7:22 am
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.

my one more question is that when a/b is minimum?
Source: — Data Sufficiency |

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by Frankenstein » Fri Jun 17, 2011 7:34 am
Hi,
From(1): a,a+b,a+2b are sides of triangle.
So, a+(a+b) > (a+2b) => a>b
(a+b)+(a+2b) > a. So, a > -3b
So, we can take 'a' as large as possible and 'b' as small as possible and still form triangle with these sides and a/b is unbound and can tend to infinity. So, I don't think there is a maximum value that can be found
Not sufficient
From(2): a&b are positive
Not sufficient
Both(1) & (2):
Not sufficient

Hence, E
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by amit2k9 » Fri Jun 17, 2011 8:44 pm
a using (difference of two sides) < side < (sum of two sides)

checking for (a+2b-a) < (a+b) < 2(a+b) gives a > b
similarly check for (a+2b-a-b) < a < 2a+3b = b< a < 2a+3b
giving a>b and -3b < a . hence not sufficient.

b tells nothing about a/b. not sufficient.

a+b not sufficient either.

E it is.
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