question_answer

P, Q and R are on ML, NL and MN of the equilateral triangle MLN respectively. If \[\mathbf{MP}:\text{ }\mathbf{PL}\text{ }=\text{ }\mathbf{NQ}:\text{ }\mathbf{QL}\text{ }=\text{ }\mathbf{1}:\text{ }\mathbf{2}\] and G is the centroid of the triangle PQL and S is the mid-point of MN. Find LG: GS.

A) \[2:3\]                                                               

B)  \[4:5\]

C)  \[3:4\]                                                 

D) \[1:3\]

E)  None of these