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by Brent@GMATPrepNow » Thu Mar 10, 2016 2:27 pm
In the xy-plane, the point (-2, -3) is the center of a circle. The point (-2, 1) lies inside the
circle and the point (4, -3) lies outside the circle. If the radius r of the circle is an integer,
then r =

A. 6
B. 5
C. 4
D. 3
E. 2
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If 4 < radius < 6 AND the radius is an INTEGER, then the radius must equal 5

Answer: B

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by DavidG@VeritasPrep » Thu Mar 10, 2016 2:28 pm
In the xy plane, the point (-2,-3) is the center of a circle. The point (-2,1) lies inside the circle and the point (4,-3) lies outside the circle. If the radius r of the circle is an integer, then r=

A) 6
B) 5
C) 4
D) 3
E) 2

The distance from (-2,-3) to (-2,1) is 4. (-3 is 4 units from 1)

The distance from (-2,-3) to (4,-3) is 6. (-2 is 6 units from 4)

So if the point inside the circle is 4 units from the center, and a point outside the circle is 6 units from the center, the radius is between 4 and 6. If it's an integer. That leaves 5. B is the answer.
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