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# If d>0, and 0 < 1 - (c/d) < 1, which of the

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Manager
Joined: 09 Feb 2006
Posts: 129
Location: New York, NY
Followers: 1

Kudos [?]: 3 [0], given: 0

If d>0, and 0 < 1 - (c/d) < 1, which of the [#permalink]  14 Apr 2006, 08:04
If d>0, and 0 < 1 - (c/d) < 1, which of the following is true?

I. c > 0
II. c/d < 1
III. c^2 + d^2 > 1
VP
Joined: 21 Sep 2003
Posts: 1066
Location: USA
Followers: 3

Kudos [?]: 39 [0], given: 0

JC,

Is it I & II?

rewirte the inequality 0<1-c/d<1 as

1) 0 < 1 - c/d
=> c/d < 1
2) 1-c/d < 1
=> 0 < c/d

Now you have 0 < c/d < 1

since c/d < 0 => they are either both positive or negative
Give d>0, c must be positive, hence c>0. Answers I.

III need not be true.
c = 0.2 and d = 0.5 --> c^2+d^2 < 1
c = 2 and d = 5 --> c^2+d^2 > 1
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Senior Manager
Joined: 24 Jan 2006
Posts: 254
Followers: 1

Kudos [?]: 3 [0], given: 0

if d>0, and 0 < 1 - (c/d) < 1, which of the following is true?

I. c > 0
II. c/d < 1
III. c^2 + d^2 > 1

As 0<1-c/d<1 => c/d is +ve and <1 and d>0, so c>0

also, c/d<1 is true

but c^2+d^2 may or may not be > 1

I think I && II is true
Manager
Joined: 24 Jan 2006
Posts: 230
Location: India
Concentration: Finance, Entrepreneurship
WE: General Management (Manufacturing)
Followers: 2

Kudos [?]: 13 [0], given: 15

ditto for me.....
i also think it is 1&2
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