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Point X is located on line segment AB and point Y is located

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Asifpirlo
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Point X is located on line segment AB and point Y is located [#permalink] New post   Updated on: 25 Aug 2013, 06:01
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Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX > CY, then

(A) XB > YD
(B) XB < YD
(C) AX > XB
(D) AX < XB
(E) AX > AB
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B

Originally posted by Asifpirlo on 24 Aug 2013, 15:51.
Last edited by Bunuel on 25 Aug 2013, 06:01, edited 1 time in total.
Edited the question.
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KarishmaB
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Re: Point X is located on line segment AB and point Y is located [#permalink] New post   27 Aug 2013, 22:37
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GMAT40 wrote:
Hi Bunnel,

A---------X-----B
C------Y--------D

B. XB < YD ==> Yes

C. AX > XB ==> Also satifies

Am i missing something here


Yes, you are missing a case such as this:

A...............X................................B
C......Y.........................................D
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jns
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Re: Point X is located on line segment AB and point Y is located [#permalink] New post   28 Sep 2013, 10:52
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Given AX > CY
=> AB - XB > CD - YD
Cancelling AB and CD because AB = CD.
=> -XB > -YD => XB < YD (flip the greater than symbol on multiplying both sides with -1). Option B is the answer.
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Bunuel
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Re: Point X is located on line segment AB and point Y is located [#permalink] New post   25 Aug 2013, 06:03
Expert Reply
Asifpirlo wrote:
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX > CY, then

(A) XB > YD
(B) XB < YD
(C) AX > XB
(D) AX < XB
(E) AX > AB


A------X--B
C--Y------D

XB < YD.

Answer: B.
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Asifpirlo
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Re: Point X is located on line segment AB and point Y is located [#permalink] New post   25 Aug 2013, 15:30
Bunuel wrote:
Asifpirlo wrote:
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX > CY, then

(A) XB > YD
(B) XB < YD
(C) AX > XB
(D) AX < XB
(E) AX > AB


A------X--B
C--Y------D

XB < YD.

Answer: B.


Thanks bunuel..............
Love to see your every strategies.............
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Re: Point X is located on line segment AB and point Y is located [#permalink] New post   27 Aug 2013, 20:17
Hi Bunnel,

A---------X-----B
C------Y--------D

B. XB < YD ==> Yes

C. AX > XB ==> Also satifies

Am i missing something here
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rishabhmishra
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Re: Point X is located on line segment AB and point Y is located on line [#permalink] New post   08 Mar 2018, 04:52
Bunuel wrote:
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX > CY, then

(A) XB > YD

(B) XB < YD

(C) AX > XB

(B) AX < XB

(E) AX > AB

IMO B
A-------------------------------X----------B
C--------------Y---------------------------D
Imagine above line as our diagram
A We can simply eliminate from above diagram
B we can keep it
C we can keep it
D eliminated
E eliminated
diagram 2 where x lie on Mid point and y lie before that
A----------------------X------------------------B
C------------------Y----------------------------D
question equation still satisfied but now from above diagram we can eliminate D also
so B is the answer.
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Re: Point X is located on line segment AB and point Y is located on line [#permalink] New post   08 Mar 2018, 07:51
Bunuel wrote:
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX > CY, then

(A) XB > YD

(B) XB < YD

(C) AX > XB

(B) AX < XB

(E) AX > AB


We can assume values for the respective line segments

AB = CD = 10
There is a possibility that AX is a part of AB, and CY is a part of CD.
Let the length of AX be 7 and CY be 6.

Therefore, we can find out values for XB = AB - AX = 3 and YD = CD - CY = 4

Now, plugging these number is answer options,
we can determine which of the answer options is always true

(A) XB > YD -> 3 > 4 is not true

(B) XB < YD -> 3 < 4 is true

(C) AX > XB -> 7 > 3 is true

(B) AX < XB -> 7 < 3 is not true

(E) AX > AB -> 7 > 10 is not true

But if AX = 5 and CY = 4.9, XB = 5 and YD = 5.1

(B) XB < YD -> 5 < 5.1 is true

(C) AX > XB -> 5 > 5 is not true

Therefore, Option B(XB < YD) is the only option which is always true!
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Point X is located on line segment AB and point Y is located [#permalink] New post   23 Aug 2019, 08:12
Asifpirlo wrote:
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX > CY, then

(A) XB > YD
(B) XB < YD
(C) AX > XB
(D) AX < XB
(E) AX > AB



A......X...........B
C....Y.............D
XB<YD

Alternatively
AX+XB = CY+YD
AX - CY = YD - XB >0
XB<YD


IMO B
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gmatclubot
Point X is located on line segment AB and point Y is located [#permalink]
23 Aug 2019, 08:12
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