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Points X, Y, Z, and W lie on a number line, though not necessarily in
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13 Jan 2023, 07:46
13 Jan 2023, 07:46
Expert Reply
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Question Stats:
68% (01:27) correct
31% (02:18) wrong based on 19 sessions
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Points X, Y, Z, and W lie on a number line, though not necessarily in that order. The distance between X and Y is 10; the distance between Z and W is 7; and the distance between Y and Z is 4. What is the minimum possible distance between X and W?
(A) 1
(B) 3
(C) 4
(D) 6
(E) 7
(A) 1
(B) 3
(C) 4
(D) 6
(E) 7
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: Points X, Y, Z, and W lie on a number line, though not necessarily in
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21 Jan 2023, 10:49
21 Jan 2023, 10:49
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Re: Points X, Y, Z, and W lie on a number line, though not necessarily in
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14 Jun 2023, 17:14
14 Jun 2023, 17:14
Expert Reply
OE
The distance from X to W is the maximum (21). You can move W to the other side of Z for a different arrangement, such that the distance from X to W shrinks to 7.
You can furthermore move Z to the other side of Y, so as to obtain a distance of 1 from X to W. This is the minimum.
The distance from X to W is the maximum (21). You can move W to the other side of Z for a different arrangement, such that the distance from X to W shrinks to 7.
You can furthermore move Z to the other side of Y, so as to obtain a distance of 1 from X to W. This is the minimum.
