1347 - Data Sufficiency

Correct Answer: B

Explanation:

Geometry Circles

• (1) The maximum distance between two points that lie on a circle is equal to the diameter, or 2 times the radius. Since the radius of circle C is 2, the diameter in this case is 4. It cannot be assumed, however, that X and Yare points on the diameter; X can lie anywhere within the circle. When the distance between X and Y is 3, it is still possible either that Y is within the circle or that Y is outside the circle; NOT sufficient.
• (2) If the length of the line segment OY is 1.5 and the circle has a radius of 2, then the distance from the center 0 to point Y is less than the radius, and point Y must therefore lie within the circle; SUFFICIENT.

The correct answer is B; statement 2 alone is sufficient.