Math questions from any Manhattan Prep GMAT Computer Adaptive Test.
abhaar
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Circular Logic CAT 6

by abhaar Wed Aug 08, 2012 10:35 am

Image
What is the radius of the circle pictured above?

(1) The measure of arc PQ is 4pi.

(2) The center of the circle is at point O.

Even if we were told that angle POQ is 90 degrees, how do we know that Statement 1 is talking about the minor arc AB and not about the major arc AB?? Is it right to assume it as minor arc AB?

Have my GMAT in 2 days. Please answer.
tim
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Re: Circular Logic CAT 6

by tim Thu Aug 09, 2012 3:02 pm

arc designations always refer to minor arcs unless there is specific information to indicate the major arc..
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abhaar
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Re: Circular Logic CAT 6

by abhaar Fri Aug 10, 2012 8:20 am

ok. thanks a lot
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Re: Circular Logic CAT 6

by jnelson0612 Fri Aug 10, 2012 6:54 pm

:-)
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krishnan.anju1987
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Re: Circular Logic CAT 6

by krishnan.anju1987 Tue Aug 14, 2012 12:49 pm

Is the answer for this option E since even though we know the angle of the arc, we are not told the circumference of the circle?
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Re: Circular Logic CAT 6

by jnelson0612 Sun Aug 19, 2012 3:26 pm

krishnan.anju1987 Wrote:Is the answer for this option E since even though we know the angle of the arc, we are not told the circumference of the circle?


Our biggest problem is that we do not know the angle creating that arc. If we knew that the angle were 90 degrees, then we would know that the arc would be 1/4 of the circumference. If we then know the arc measure, we could calculate the circumference and thus figure out the radius. However, we never learn whether the arc is 90 degrees, 91, 89, etc.
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