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Senior Manager
Joined: 25 Jun 2009
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Three different locations are represented on a map by the [#permalink]
22 Jul 2009, 02:57
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Three different locations are represented on a map by the points X,Y and Z. What is the actual distance between the locations represented on the map by X and Y ? ( 1cm = 200 KM)
1. Z is to the left of X and Y is to the right of X. 2. X is 4 cms from Z, and Y is 3 cms from Z.
Please explain.
Thanks
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Senior Manager
Joined: 23 Jun 2009
Posts: 368
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
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E none. We do not know whether they lie on a line or not. So we can not say anything.
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Senior Manager
Joined: 25 Jun 2009
Posts: 318
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maliyeci wrote: E none. We do not know whether they lie on a line or not. So we can not say anything. Well I agree but if we use both the statements then we will get shape which is shown in the figure, in that case cant we calculate the distance ?
Attachments

untitled.JPG [ 6.42 KiB | Viewed 288 times ]
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Senior Manager
Joined: 23 Jun 2009
Posts: 368
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 4
Kudos [?]:
86
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Can't they be on the same line? 3-4-5 triangle is a very special case. You are doing wrong I think.
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Senior Manager
Joined: 25 Jun 2009
Posts: 318
Followers: 2
Kudos [?]:
56
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maliyeci wrote: Can't they be on the same line? 3-4-5 triangle is a very special case. You are doing wrong I think. I agree this is might be a special case and this is exactly what I am want to know where am I going wrong. Anyway the points can’t be on the same line because as per the 1st statement Z is to left of X and Y is to right of X and from the 2nd statement the distance between Z and Y is 3 which is not possible because in that X goes to the right of Y. Cheers
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Senior Manager
Joined: 23 Jun 2009
Posts: 368
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 4
Kudos [?]:
86
[0], given: 60
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Yes you are right. They can not be on the same line. But there are unlimited number of triangles with 2 sides are 3 and 4. It may vary from 3-4-1,000001 to 3-4-6,999999999. Left of x and right of x may limit to some values. But it does not limit to 3-4-5
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Director
Joined: 01 Apr 2008
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Good question. I think answer should be C. Because when we combine 1 and 2, it is implicit that points are not on the same line. For.eg. following figure is not possible. Attachment:
111.JPG [ 2.69 KiB | Viewed 268 times ]
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Senior Manager
Joined: 23 Jun 2009
Posts: 368
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 4
Kudos [?]:
86
[0], given: 60
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I can not find the distance with 2 statements. Somebody can show me the calculations?
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Director
Joined: 01 Apr 2008
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Hmm...even I am wondering now  We are not given the angle...we only know lengths of two sides....so length of third side can be anything... OA Pls!
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Senior Manager
Joined: 25 Jun 2009
Posts: 318
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maliyeci wrote: I can not find the distance with 2 statements. Somebody can show me the calculations? Yes maliyeci you are right, the 3rd side can be 2 or may be 6 ... my bad I assumed that it will be 5 ( general notion while doing questions related to triangles  ) Anyway thanks for making me understand ..the new lesson for the day .. i.e STOP Assuming :D Cheers !
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Senior Manager
Joined: 25 Jun 2009
Posts: 318
Followers: 2
Kudos [?]:
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Economist wrote: Hmm...even I am wondering now  We are not given the angle...we only know lengths of two sides....so length of third side can be anything... OA Pls! Yes, the OA is E, infact I just assumed the 3rd side to be 5 .. my bad  Anyway Thanks.. Cheers !
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