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littlestone
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littlestone
If r and s are positive integers, is r/s less than 1/3 ?

(1) r is less than 20.
(2) s is greater than 65.


Is \(\frac{r}{s} < \frac{1}{3}\)?

We can pull the numbers and variables around freely because they're all positive.

Change the question to: "Is \(3r < s\)?

We need both statements as each statement only talks about one variable.

Combined:

3r is less than 60. s is greater than 65. We may use 60 as a bridge, we have \(3r < 60 < 65 < s\). Thus \(3r < s\) is true, sufficient.

Ans: C
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lakashoo28
For this question, it might help to take 3 to 4 examples.

1. R is less than 20 : not sufficient as no information about s.

2. S is greater than 65 : statement 2 not sufficient since no date about r.

When taken together, we have two conditions now. r <20 and r>0, s>0 and s>65. Taking examples for max possible value of r is 19 and minimum possible value of s is 66, the value is more than 1/3. So, all values for r will only reduce and s will increase. So, it is sufficient to answer that it will not be less than 1/3.

Posted from my mobile device


19/66 would actually be SMALLER than 1/3... but I think this answers the question sufficiently anyways. So, together, the statements would be sufficient.
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Bunuel this question should be tagged under GMAT Prep :)
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achloes
Bunuel this question should be tagged under GMAT Prep :)

Done. That's very helpful! Thank you!!! :thumbsup:
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