which one is true

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mehrasa: Master | Next Rank: 500 Posts; Posts: 279; Joined: Fri Nov 05, 2010 5:43 pmFollowed by: 1 member; Thanked: 15 times

by mehrasa » Sun Sep 18, 2011 11:33 pm

if d>0 and 0<1-c/d<1 which one must be true?
I) c>0
II) c/d<1
III) c^2+ d^2>1

my Q is that how we can chk the third choice mathematically without picking No.

Last edited by mehrasa on Mon Sep 19, 2011 2:29 am, edited 1 time in total.

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Source: Beat The GMAT — Problem Solving | Sun Sep 18, 2011 11:33 pm

gmatclubmember: Master | Next Rank: 500 Posts; Posts: 158; Joined: Sat Sep 03, 2011 10:31 amFollowed by: 2 members; Thanked: 29 times

by gmatclubmember » Mon Sep 19, 2011 1:18 am

mehrasa wrote:if d>0 and 0<1-c/d<0 which one must be true?
I) c>0
II) c/d<1
III) c^2+ d^2>1

my Q is that how we can chk the third choice mathematically without picking No.

Please post the correct question since the second inequality seems to be incorrect. 0<x<0 ???

Cheers
Ami/-

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mehrasa: Master | Next Rank: 500 Posts; Posts: 279; Joined: Fri Nov 05, 2010 5:43 pmFollowed by: 1 member; Thanked: 15 times

by mehrasa » Mon Sep 19, 2011 2:08 am

hey Ami
I can not see anything wrong here to correct..this is the exact question...

Last edited by mehrasa on Mon Sep 19, 2011 2:29 am, edited 1 time in total.

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excavator: Newbie | Next Rank: 10 Posts; Posts: 2; Joined: Mon Sep 19, 2011 12:30 am

by excavator » Mon Sep 19, 2011 2:10 am

Hi..

How is it possible 0<1-c/d<0.
Could you please rectify

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Mon Sep 19, 2011 2:39 am

I posted a solution here:

https://www.beatthegmat.com/official-gma ... 85301.html

Algebra is often the most efficient way to prove that a statement MUST be true.
To prove that a statement DOESN'T have to be true, picking numbers is usually faster. All you need is ONE combination of numbers for which the statement is not true.

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