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# If point X is on line segment AB, all of the following may be true EXC

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
If point X is on line segment AB, all of the following may be true EXC  [#permalink]

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06 Mar 2018, 20:58
00:00

Difficulty:

15% (low)

Question Stats:

92% (00:46) correct 8% (00:52) wrong based on 45 sessions

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If point X is on line segment AB, all of the following may be true EXCEPT

(A) AX=XB

(B) AX > XB

(C) AX < XB

(D) AB > XB

(E) AX + XB < AB

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Joined: 16 May 2017
Posts: 52
Location: India
Re: If point X is on line segment AB, all of the following may be true EXC  [#permalink]

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07 Mar 2018, 07:50
[quote="Bunuel"]If point X is on line segment AB, all of the following may be true EXCEPT

(A) AX=XB

(B) AX > XB

(C) AX < XB

(D) AB > XB

(E) AX + XB < AB[/quote

IMO E since , length of AX + XB should be equal to AB,it cannot be less than AX+XB.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2577
If point X is on line segment AB, all of the following may be true EXC  [#permalink]

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25 Mar 2018, 05:28

Solution

The length of AX and XB may vary according to the placing of the point of X on the line segment AB.

To understand it more clearly, let us see the following cases:

(A) AX=XB
AX can be equal to XB if x is the mid-point of AB.

(B) AX > XB[/u]

(C) [u]AX < XB

(D) AB > XB

If the point X lies inside the points, A and B, then AB >XB.

(E) AX+XB<AB
• If the point X lies inside the points, A and B, then as clear from the above diagrams that AX+XB is always equal to AB.

• If points X lies outside A and B:
o AX=AB+XB…….(1)
o After addition of XB with AB, we get AX. Hence, AX is greater than AB.
 AX>XB
Hence, AX+XB>AB.

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If point X is on line segment AB, all of the following may be true EXC   [#permalink] 25 Mar 2018, 05:28
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