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The distance from point A to point B is 15 meters, and the [#permalink]
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03 Apr 2014, 13:22
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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03 Apr 2014, 16:12
I don't get this. Distance between C and B will be shortest, if both these points are on the same side of point A. Distance will be the farthest, if B and C are on opposite side of point A.
so d should be between, 4 and 26. Not sure which option to choose now!



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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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03 Apr 2014, 19:02
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Yes. I also arrived at d between 4 and 26. Going by the options given I would go for D.



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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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03 Apr 2014, 21:19
Bunuel wrote: The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?
A. 0 < d < 24 B. 1 < d < 25 C. 2 < d < 26 D. 3 < d < 27 E. 4 < d < 28 point C can be either in line between A and B, opposite direction of B or out of this line, in this case, we get triangle ABC. If it is in line AB then BC=4 meters, if opposite direction, then BC=26 meters, if out of line BC should be less than AB+AC<26 meters. So, maximum BC is less than 26. I think it is C



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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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03 Apr 2014, 21:22
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Bunuel wrote: The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?
A. 0 < d < 24 B. 1 < d < 25 C. 2 < d < 26 D. 3 < d < 27 E. 4 < d < 28 The distance has to vary between 4 and 26 depending upon whether B and C fall on the same side of A or they are on the opposite sides of A. The sequence could be ABC or BAC. From the former case we get least distance between B and C = 4 and from the later we get max distance as 38. So, I would go for D, as 3< d < 27 means 4<= d <=26
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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04 Apr 2014, 02:38
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Answer = C. 2 < d < 26 Addition of 2 sides of a triangle has to be MORE than the 3rd side d has to be less than 26
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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07 May 2014, 02:43
Bunuel wrote: The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?
A. 0 < d < 24 B. 1 < d < 25 C. 2 < d < 26 D. 3 < d < 27 E. 4 < d < 28 Bunuel my thought process... There are three possibilities a) Point C is between A and B .. In that case d = 15  11 = 4m b) Point C is aware from A and B but on same line . In that case d = 15 + 11 = 26m c) Point C is any arbitrary point thus forming a triangle ABC . Now sum of 2 sides should be greater than third side. So d < 26m. So possible values look like 4 < d<26... None of the option and now I am confused



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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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07 May 2014, 03:08
himanshujovi wrote: Bunuel wrote: The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?
A. 0 < d < 24 B. 1 < d < 25 C. 2 < d < 26 D. 3 < d < 27 E. 4 < d < 28 Bunuel my thought process... There are three possibilities a) Point C is between A and B .. In that case d = 15  11 = 4m b) Point C is aware from A and B but on same line . In that case d = 15 + 11 = 26m c) Point C is any arbitrary point thus forming a triangle ABC . Now sum of 2 sides should be greater than third side. So d < 26m. So possible values look like 4 < d<26... None of the option and now I am confused Attachment:
Untitled.png [ 14.15 KiB  Viewed 4008 times ]
Here's is my take We have 3 cases here as you pointed out. Now which range covers all the 3 options should be the answer. Going by that logic, Ans should be D cause we don't which case are we looking at so Correct answer will cover all the possible options.
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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07 May 2014, 03:08
himanshujovi wrote: Bunuel wrote: The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?
A. 0 < d < 24 B. 1 < d < 25 C. 2 < d < 26 D. 3 < d < 27 E. 4 < d < 28 Bunuel my thought process... There are three possibilities a) Point C is between A and B .. In that case d = 15  11 = 4m b) Point C is aware from A and B but on same line . In that case d = 15 + 11 = 26m c) Point C is any arbitrary point thus forming a triangle ABC . Now sum of 2 sides should be greater than third side. So d < 26m. So possible values look like 4 < d<26... None of the option and now I am confused Let me ask you a question: doesn't option D covers all the possible values of d?
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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20 Jun 2015, 23:54
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Bunuel wrote: The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?
A. 0 < d < 24 B. 1 < d < 25 C. 2 < d < 26 D. 3 < d < 27 E. 4 < d < 28 If point C in on line AB, between points A and B, then the distance between B and C will be 15  11 = 4 meters (least possible distance). If point C in on line AB, to the left of point A, then the distance between B and C will be 15 + 11 = 26 meters (greatest possible distance). Therefore \(4 \le AC \le 26\). Correct option must cover this entire range. Only option D offers the range which has all possible values of AC. Answer: D. Attachment:
M3151.png [ 1.66 KiB  Viewed 4041 times ]
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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22 Jun 2015, 05:11
Hello Bunuel, In the case where the lines form a triangle, option D will include 26 too  isnt this wrong? The third side of the triangle should be between difference of two ( 1511) and summation of two (11+15). Am I doing something wrong?
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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29 May 2016, 21:51
Bunuel wrote: aimtoteach wrote: Hello Bunuel, In the case where the lines form a triangle, option D will include 26 too  isnt this wrong? The third side of the triangle should be between difference of two ( 1511) and summation of two (11+15). Am I doing something wrong? Who said that A, B and C must form a triangle? Bunnuel, Are you saying essentially that they can form a triangle and can also be on the same straight line? So If they are on the same line then either d=4 or d=26. But if they are on a triangle then d> 4 and d<26. And so combining the two possibilities, we get 4<=d<=26



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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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Re: The distance from point A to point B is 15 meters, and the [#permalink]
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16 Nov 2017, 23:15
Bunuel wrote: The distance from point A to point B is 15 meters, and the distance from point A to point C is 11 meters. If d is the distance, in meters, between points B and C, then which of the following must be correct?
A. 0 < d < 24 B. 1 < d < 25 C. 2 < d < 26 D. 3 < d < 27 E. 4 < d < 28 It's between 4 and 26 inclusive. But I think it must be given in the question that d is an integer. Only then D stands
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