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nick_sun
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Pls see attached 13 May 2007, 13:33
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apache
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Pls see attached 13 May 2007, 13:44
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none....
+numbers can be substituted

or simply for x = 2
all the conditions will fail
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Sergey_is_cool
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Pls see attached 13 May 2007, 14:05
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I got statement 1 only
the problem states that the number is positive, but it doesn't say if it's an integer or not so if you put 1/2 statement 1 will work
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Bluebird
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Pls see attached 13 May 2007, 15:49
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I agree with the others. Answer is B (I only).

The thing that stuck out to me was the question stem said, "which of the following COULD be true". This mean we have to try different scenarios to see if we can find a case that the choices could be true.

I chose some different #s (both positive integers and fractions) and was only able to find that stmt 1 could be true.
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nick_sun
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Well, I also though it is B, but ..... the OA is .............. D.
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apache
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Pls see attached Updated on: 14 May 2007, 21:56
Originally posted by apache on 14 May 2007, 14:40.
Last edited by apache on 14 May 2007, 21:56, edited 1 time in total.
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sorry for my illogical first post....

x^2<2x<1/x

puting x=.5
.25 < 1 < 2

x^2<1/x<2x

puting x=.8
.64<1.25<1.6

these numbers can be derived by breaking the inequalities
x^2<2x<1/x
implies x<2 and x<sqrt(2)

x^2<1/x<2x
implies x<2>squrt(2)

for the last inequality....breaking gives the ambiguous results
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nick_sun
Well, I also though it is B, but ..... the OA is .............. D.
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You guys are missing the 'could be' true part. the question is not asking the condition when a given equation will be true in all cases but will be true only in some cases.

use x <1> 1 and you will see that III is not valid in any condition but I and II are valid in some cases. hence answer is D
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Himalayan
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nick_sun
Pls see attached.
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https://www.gmatclub.com/phpbb/viewtopic.php?t=45539



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