Inequality confusion

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MG368: Junior | Next Rank: 30 Posts; Posts: 12; Joined: Wed Nov 18, 2009 9:55 am

by MG368 » Sat Nov 28, 2009 12:03 am

If d > 0 and , 0< 1-c/d < 1 which of the following must be true ?
I. c > 0
II. c/d<1
III. c^2+d^2>1

(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II, and III

okie.. here the OA is C. but as we know that d>0 and c>0 won't III also be true?

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Source: Beat The GMAT — Problem Solving | Sat Nov 28, 2009 12:03 am

Mozartain: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Tue Nov 11, 2008 8:38 pm; Thanked: 3 times; GMAT Score:740

by Mozartain » Sun Nov 29, 2009 3:25 am

Maybe you've misread III. It says c^2+d^2>1, NOT c^2+d^2>0

Say c is 0.3 and d is 0.5, thus c^2+d^2 = 0.34 and this is less than 1.

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ssuarezo: Master | Next Rank: 500 Posts; Posts: 126; Joined: Wed Jun 24, 2009 1:12 pm; Location: Montreal; Thanked: 2 times; GMAT Score:510

by ssuarezo » Mon Nov 30, 2009 10:50 am

Mozartain wrote:Maybe you've misread III. It says c^2+d^2>1, NOT c^2+d^2>0

Say c is 0.3 and d is 0.5, thus c^2+d^2 = 0.34 and this is less than 1.

Hi:

One question: Why is I true? ... c>0 only if d>0 too, if not, 1- c/d won't be less than 1

Thank you,
Silvia

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ace_gre: Senior | Next Rank: 100 Posts; Posts: 98; Joined: Mon Nov 23, 2009 2:30 pmFollowed by: 1 member; Thanked: 26 times

by ace_gre » Mon Nov 30, 2009 11:41 am

Silvia,

The question stem states that d>0, in which case for 0<1-c/d<1 to be true, c must be <0..
(I did the same mistake as you did

),but it's in the question.

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ssuarezo: Master | Next Rank: 500 Posts; Posts: 126; Joined: Wed Jun 24, 2009 1:12 pm; Location: Montreal; Thanked: 2 times; GMAT Score:510

by ssuarezo » Mon Nov 30, 2009 12:11 pm

ace_gre wrote:Silvia,

The question stem states that d>0, in which case for 0<1-c/d<1 to be true, c must be <0..
(I did the same mistake as you did ),but it's in the question.

OMG !!! .. you're right Ace, I still don't read the questions carefully ! ... and I even send a post ! :p
thank you
Silvia

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