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Country X is in the shape of a rectangle 80 km wide by 100 km long. An

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Carcass
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Country X is in the shape of a rectangle 80 km wide by 100 km long. An [#permalink] New post   16 Mar 2021, 06:17
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Country X is in the shape of a rectangle 80 km wide by 100 km long. Ann lives on the border of Country X, and her three children each live inside the country.


Quantity A
Quantity B
The sum of the distances from Ann’s house to each of her three children’s houses
300 km



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Country X is in the shape of a rectangle 80 km wide by 100 km long. An [#permalink] New post   16 Mar 2021, 07:21
Carcass wrote:
Country X is in the shape of a rectangle 80 km wide by 100 km long. Ann lives on the border of Country X, and her three children each live inside the country.


Quantity A
Quantity B
The sum of the distances from Ann’s house to each of her three children’s houses
300 km



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Draw a triangle ABCD with AB = CD = 100 and BC = AD = 80

Let us assume that Ann lives at the vertex A, and her three children at just about the vertices B, C, and D

Distance = (Less than 100) + (Less than \(\sqrt{100^2 + 80^2}\)) + (Less than 80)

Distance = Less than (100 + 128.06 + 80) = Less than 308.06

How less? It could be 305 or 290

Hence, option D
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Re: Country X is in the shape of a rectangle 80 km wide by 100 km long. An [#permalink] New post   20 Mar 2021, 23:29
i think it is directly option d because question don't give any information about her children where actually they live....
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Re: Country X is in the shape of a rectangle 80 km wide by 100 km long. An [#permalink]
20 Mar 2021, 23:29
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