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# M14-17

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Intern
Joined: 01 Aug 2017
Posts: 6
Location: India
Schools: Duke '21
GMAT 1: 750 Q49 V42
GPA: 4

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20 Jan 2018, 11:55
A 5 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point?

Since the question says longer piece is used to form a perimeter of a square:
We have Perimeter between 2.5 meter and 5 meter
It implies: side of a square will be between 2.5/4 equals 5/8 and 5/4, On a number line it will be represented as : 5/8__________1__favourable___5/4

Probability= favourable/Total
Favourable= 5/4-1=1/4
Total= 5/4-5/8= 5/8

Probability= 1/4 divided by 5/8 which equals to 2/5 Ans.
Intern
Joined: 28 Mar 2017
Posts: 4

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13 Feb 2018, 11:27
I think this is a high-quality question and I agree with explanation.
Intern
Joined: 01 Jul 2017
Posts: 3

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06 Jul 2018, 02:36
I think this is a high-quality question and the explanation isn't clear enough, please elaborate.
Manager
Joined: 22 Jun 2017
Posts: 168
Location: Argentina
Schools: HBS, Stanford, Wharton
GMAT 1: 630 Q43 V34

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25 Feb 2019, 12:42
I think this is a poor-quality question and I agree with explanation.
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The HARDER you work, the LUCKIER you get.
Math Expert
Joined: 02 Sep 2009
Posts: 58402

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25 Feb 2019, 13:01
patto wrote:
I think this is a poor-quality question and I agree with explanation.

The question is 100% correct and has extensive discussion on previous two pages. Please check. Hope it helps.
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Joined: 09 Nov 2018
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21 Aug 2019, 12:24
I think this is a high-quality question and I agree with explanation.
Re M14-17   [#permalink] 21 Aug 2019, 12:24

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# M14-17

Moderators: chetan2u, Bunuel