Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 19 Jun 2013, 20:32

# If d > c > b > a

Author Message
TAGS:
Manager
Joined: 26 Mar 2007
Posts: 89
Schools: Thunderbird '15
Followers: 1

Kudos [?]: 11 [0], given: 8

If d > c > b > a [#permalink]  05 May 2011, 08:37
00:00

Question Stats:

44% (02:09) correct 55% (03:17) wrong based on 9 sessions
Let d > c > b > a.
If c is twice as far from a as it is from d, and b is twice as far from c as it is from a, then (d - b) / (d - a) = ?

a) 2/9
b) 1/3
c) 2/3
d) 7/9
e) 3/2
[Reveal] Spoiler: OA
Intern
Status: ThinkTank
Joined: 07 Mar 2009
Posts: 29
Followers: 0

Kudos [?]: 5 [0], given: 3

Re: If d > c > b > a [#permalink]  05 May 2011, 08:44
Draw a number line and label with x and y. You would have:

a b c d
----- ---- ----
y 2y x
------------
2x

Before calculating recognize it would be more effcient to express x or y in terms of the other. here 2x = 3y so x =3/2 y.

Now you can calculate d -b and d -a

d - b= x +2y = 7/2 y

d - a = x + 2x = 3x = 9/2y

Dividing both you get: 7/9

_________________
Senior Manager
Joined: 24 Mar 2011
Posts: 478
Location: Texas
Followers: 4

Kudos [?]: 33 [0], given: 20

Re: If d > c > b > a [#permalink]  05 May 2011, 09:06
Better to draw a number line,
from 1st statement --> c-a = 2x and d-c = x; d-a = 3x
from 2nd statement --> b-a = y and c-b = 2y i.e. c-a = y+2y = 3y

From the 2 underlined eqs; 2x = 3y

d - b = x + 2y (d-c = x and c-b = 2y)
d -a = 3x

d - b/d-a = x + 2y/3x

substituting the value, = 7x/9x = 7/9
Director
Joined: 01 Feb 2011
Posts: 788
Followers: 11

Kudos [?]: 64 [0], given: 42

Re: If d > c > b > a [#permalink]  05 May 2011, 17:34
<----2x----><-x-->
a---b------c------d

<-y><--2y->

3y = 2x

(d-b)/(d-a) = (3x-y)/(3x) = 7/9

SVP
Joined: 16 Nov 2010
Posts: 1719
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 26

Kudos [?]: 229 [0], given: 35

Re: If d > c > b > a [#permalink]  11 May 2011, 08:06
I tried algebra, took me some time to figure out.

c - a = 2(d-c)

=> 3c = 2d + a

c-b = 2(b-a)

=> c + 2a = 3b

d - a = d - (3c - 2d) = 3d - 3c

d - b = d - (c+2a)/3 = (3d - c - 2a)/3

= [3d - c - 2(3c - 2d)]/3

= (7d - 7c)/3

=> (d-b)/(d-a) = 7/3/3 = 7/9

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

Find out what's new at GMAT Club - latest features and updates

Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 189
Location: India
WE: Information Technology (Investment Banking)
Followers: 3

Kudos [?]: 14 [0], given: 1

d>c>b>a [#permalink]  17 Sep 2011, 23:03
Let d>c>b>a. If c is twice as far from a as it is from d, and b is twice as far from c as it is from a, then (d-b)/(d-a) =

A) 2/9
B) 1/3
C) 2/3
D) 7/9
E) 3/2

Can anyone please provide me a solution of this question.
d>c>b>a   [#permalink] 17 Sep 2011, 23:03
Similar topics Replies Last post
Similar
Topics:
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/ 10 23 Sep 2004, 17:52
Is (a/d)*(b/e)*(c/f) > (b/d)*(c/e) ? (1) bc > de (2) a 4 02 Dec 2004, 16:48
is (a/d)(b/e)(c/f) > (b/d) (c/e) ? 1) bc > de 2) a 8 29 Apr 2006, 13:03
Is it true a>b 1. 2a > 2b 2. a+c > b+c OA D IMO A 6 19 Sep 2009, 13:36
1 If a > b and if c > d , then which of the following must be 4 19 Mar 2012, 05:39
Display posts from previous: Sort by