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Is the radius of circle with center O a whole number?

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Manager
Joined: 27 Oct 2009
Posts: 151
Location: Montreal
Schools: Harvard, Yale, HEC
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Is the radius of circle with center O a whole number? [#permalink]  07 Nov 2009, 17:01
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This one from CrackGMAT:
My answer is B. I would agree with the OA which is D if they use pi instead of 22/7. Please comment

Is the radius of circle with center O a whole number?
(I) The circumference of the circle is 16 * (22/7)
(II) The ratio of the circumference of the circle to the area of the circle is ¼

(A) Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient

(B) Statement (II) ALONE is sufficient, but statement (I) is not sufficient

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient

(D) Each statement ALONE is sufficient

(E) Statements (I) and (II) TOGETHER are NOT sufficient
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Senior Manager
Joined: 31 Aug 2009
Posts: 421
Location: Sydney, Australia
Followers: 6

Kudos [?]: 142 [0], given: 20

Re: One problem from CrackGMAT [#permalink]  07 Nov 2009, 18:00
ezinis wrote:
This one from CrackGMAT:
My answer is B. I would agree with the OA which is D if they use pi instead of 22/7. Please comment

Is the radius of circle with center O a whole number?
(I) The circumference of the circle is 16 * (22/7)
(II) The ratio of the circumference of the circle to the area of the circle is ¼

D is correct.
22/7 is the definition of Pi and in maths they are the same thing.
For statement 1) 16*(22/7) is not a whole number but we are asked for the radius
2PiR = 16*(22/7)
R=16*(22/7) divided by 2Pi
= 16*(22/7)*(1/2)*(7/22)
= 8
The answer is yes which means this statement is sufficient.

Statement 2) is sufficient I think you've determined but it comes down to the Radius being 8 as well. So both are sufficient.
Manager
Joined: 27 Oct 2009
Posts: 151
Location: Montreal
Schools: Harvard, Yale, HEC
Followers: 1

Kudos [?]: 24 [0], given: 18

Re: One problem from CrackGMAT [#permalink]  07 Nov 2009, 18:33
I beg to differ, 22/7 is just an approximation of pi. I never heard pi is defined as 22/7. Please comment guys.
Senior Manager
Joined: 31 Aug 2009
Posts: 421
Location: Sydney, Australia
Followers: 6

Kudos [?]: 142 [0], given: 20

Re: One problem from CrackGMAT [#permalink]  07 Nov 2009, 18:40
ezinis wrote:
I beg to differ, 22/7 is just an approximation of pi. I never heard pi is defined as 22/7. Please comment guys.

Actually yes you are correct 22/7 is a rational approximation of Pi.
So from that perspective to stricly be correct they would need to use Pi instead of 22/7.
I am not sure if the GMAT would ever word the question as the above has though.
Re: One problem from CrackGMAT   [#permalink] 07 Nov 2009, 18:40
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