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.

P, Q and R are on ML, NL and MN of the equilateral triangle MLN respec

1.	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
Answer» C. \[3:4\]

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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.

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