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

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
Point X is located on line segment AB and point Y is located on line  [#permalink]

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06 Mar 2018, 21:45
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(N/A)

Question Stats:

93% (01:15) correct 7% (00:59) wrong based on 15 sessions

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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

(B) AX < XB

(E) AX > AB

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Joined: 23 Sep 2016
Posts: 222
Re: Point X is located on line segment AB and point Y is located on line  [#permalink]

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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
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3373
Location: India
GPA: 3.12
Re: Point X is located on line segment AB and point Y is located on line  [#permalink]

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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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Re: Point X is located on line segment AB and point Y is located on line   [#permalink] 08 Mar 2018, 07:51
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