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If d>0 and 0< 1-c/d <1, which of the following

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Retired Moderator
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If d>0 and 0< 1-c/d <1, which of the following [#permalink] New post 22 Oct 2008, 20:14
If d>0 and 0< 1-c/d <1, which of the following condition must be true?

1) c>0
2) c/d<1
3) c^2+d^2>1

The OA is telling me something different that what I'm getting.
Manager
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Re: This one is easy right? [#permalink] New post 22 Oct 2008, 20:42
1 and 2 are correct

c:=0.3 and d =0.4 dn c^2 +d^2 <1
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Re: This one is easy right? [#permalink] New post 22 Oct 2008, 21:05
I and II are correct
What is the OA ?
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Re: This one is easy right? [#permalink] New post 22 Oct 2008, 22:40
Agree with I and II.

0 < 1-c/d < 1
or, 0 > c/d-1 > -1
or, 1 > c/d > 0

and, since d > 0, hence, c > 0.
Also, 1 > c/d.

Now, take two examples,
c = 3, d = 4 and hence c^2 + d^2 > 1
But, if c = 1/3 and d = 1/2 then c^2 + d^2 < 1.
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Re: This one is easy right? [#permalink] New post 23 Oct 2008, 03:48
I agree with 1 and 2.

I assumed it is 1-(c/d) and not (1-c)/d
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Retired Moderator
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Re: This one is easy right? [#permalink] New post 23 Oct 2008, 05:39
OA is 1) and 2)

I thought 3) was valid as well, but then didn't try decimals.

Thanks gang.
Re: This one is easy right?   [#permalink] 23 Oct 2008, 05:39
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