# Moderate Geometry & Mensuration Solved QuestionAptitude Discussion

 Q. In the figure above, the point on segment $PQ$ that is twice as far from $P$ as from $Q$ is
 ✖ A. (3,1) ✔ B. (2,1) ✖ C. (2,-1) ✖ D. (1.5,0.5)

Solution:
Option(B) is correct

On a segment,a point that is twice as far from one end as the other is $\dfrac{1}{3}$ the distance from one end. The points (0,-1), (1,0), (2,1), and (3,2) are on segment $PQ$,and they dividethe segment into three intervals of equal length as shown in the figure below.

Note that the point (2,1) is twice as far from $P$(0,-1) as from $Q${3,2) and also that it is $\dfrac{1}{3}$the distance from $Q$.