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07 Nov 2009, 18:01
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N
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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
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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07 Nov 2009, 19:00
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ezinis
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.
07 Nov 2009, 19:33
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I beg to differ, 22/7 is just an approximation of pi. I never heard pi is defined as 22/7. Please comment guys.
