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# A pathway, 6 meters wide, is to be constructed around the boundary of

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Math Expert
Joined: 02 Sep 2009
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A pathway, 6 meters wide, is to be constructed around the boundary of  [#permalink]

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23 Jul 2017, 23:35
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Difficulty:

65% (hard)

Question Stats:

44% (01:25) correct 56% (01:36) wrong based on 80 sessions

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A pathway, 6 meters wide, is to be constructed around the boundary of a square lawn using square stone slabs. If the stone slabs cannot be broken, can the stone slabs be used to construct the pathway?

(1) Each side of the square lawn is 50 meters.
(2) Each stone slab has side 4 meters.

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Re: A pathway, 6 meters wide, is to be constructed around the boundary of  [#permalink]

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24 Jul 2017, 12:22
1

The pathway has a width of 6 meters. The square stones have side 4 meters and they cannot be broken. So, basically they cannot be used to construct the pathway.
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Re: A pathway, 6 meters wide, is to be constructed around the boundary of  [#permalink]

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10 Aug 2017, 05:12
Can somebody explain why the answer is not B ?
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Re: A pathway, 6 meters wide, is to be constructed around the boundary of  [#permalink]

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11 Aug 2017, 14:34
It's not B because we need to take into account the length of the side of the lawn. In other words, (x+6+6) needs to be a multiple of the length of one stone slab.
1) x+12=50; x=38 (we know the side of the lawn but we don't know the length of a single slab)
2)12 is divisible by 4, but we don't know if x is
C
Current Student
Joined: 05 Nov 2016
Posts: 28
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GMAT 1: 610 Q48 V26
GMAT 2: 660 Q49 V31
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WE: Engineering (Consulting)
Re: A pathway, 6 meters wide, is to be constructed around the boundary of  [#permalink]

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11 Aug 2017, 21:56
alexjst wrote:
It's not B because we need to take into account the length of the side of the lawn. In other words, (x+6+6) needs to be a multiple of the length of one stone slab.
1) x+12=50; x=38 (we know the side of the lawn but we don't know the length of a single slab)
2)12 is divisible by 4, but we don't know if x is
C

Hi alexjst,

Thanks for your explanation. I do agree with it. However, your solution is only mathematically true. Logically if you are to construct a pathway around any square plot then the width of the pathway (in this case 6 m) needs to be a multiple of the stone slab width, if you don't want to break the slab. Moreover, i think GMAT tests not only our mathematical skills, but also our logical skills.

Bunuel Can you please share OE for this question..
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Re: A pathway, 6 meters wide, is to be constructed around the boundary of  [#permalink]

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13 Sep 2018, 20:03
alexjst wrote:
It's not B because we need to take into account the length of the side of the lawn. In other words, (x+6+6) needs to be a multiple of the length of one stone slab.
1) x+12=50; x=38 (we know the side of the lawn but we don't know the length of a single slab)
2)12 is divisible by 4, but we don't know if x is
C

I STRONGLY disagree with the question and your explanation aswell !! Width of pathway=6(given) width of square=length of square=4 (Given)
If you carefully draw and see some portions just can't be covered without breaking the slab.
Re: A pathway, 6 meters wide, is to be constructed around the boundary of   [#permalink] 13 Sep 2018, 20:03
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