A Fly crawls around the outside of a circle once. A second : GMAT Data Sufficiency (DS)
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# A Fly crawls around the outside of a circle once. A second

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Intern
Joined: 14 Apr 2010
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A Fly crawls around the outside of a circle once. A second [#permalink]

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14 Apr 2010, 18:24
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67% (01:40) correct 33% (00:00) wrong based on 5 sessions

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Greetings !!!,
I have this question that has me baffled.
A Fly crawls around the outside of a circle once. A second fly crawls around the outside of a square once. Which fly travels further?

1) The diagonal of the square is equal to the diameter of the circle.
2) The fly crawling around the circle took more time to complete his journey than the fly crawling around the square.

Thanx
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14 Apr 2010, 20:01
Welcome to GMAT Club!

From Statement 1:

Lets assume x = diagonal of square = diameter of circle

Perimeter of Circle = 2*pi*(x/2) = pi*x

let a = sides of the square:
a^2+a^2=x^2
a=x/\sqrt{2}
Perimeter of Square = 4*x/\sqrt{2}

We can compare pi*x to 4*x/\sqrt{2}

Hence SUFFICIENT

Statement 2:

We can't assume that the flies walked at the same rate, hence, INSUFFICIENT.

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16 Apr 2010, 04:04
Frm stmt 1 we can find the side(s) of square and circumference of circle , Sufficient

stmt 2 clearly not sufficient

IMO A
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16 Apr 2010, 23:55
temi83tayo wrote:
Greetings !!!,
I have this question that has me baffled.
A Fly crawls around the outside of a circle once. A second fly crawls around the outside of a square once. Which fly travels further?

1) The diagonal of the square is equal to the diameter of the circle.
2) The fly crawling around the circle took more time to complete his journey than the fly crawling around the square.

Thanx

i think total distance around the circle and square can be compared easily..
i.e. perimeter of circle and perimeter of square. so A is suff. while no info is available about distance in B so isuff.
Re: Data Sufficiency   [#permalink] 16 Apr 2010, 23:55
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