How far and in which direction is Point M from Point S ? Statement I: Point E is 2m to the east of Point S. Point B is 4m to the south of Point E. Point L is 10m to the east of Point B. Point L forms a midpoint of the vertical straight line of 8m formed by joining points Q and D. Point M is 5m to the west of Point Q. Statement II: Point M is 8m to the north of Point A. Point M forms the midpoint of the horizontal straight line formed by joining points O and F. Point F is 8m to the west of Point O. Point S is 4m to the west of Point F.

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Step-by-step reasoning:

1. Statement I (insufficient):
   - Place S at $(0,0)$. Then E is at $(2,0)$, B at $(2,-4)$, and L at $(12,-4)$ (since L is 10 m east of B).
   - L is the midpoint of a vertical segment QD of length $8$ m, so the endpoints are $4$ m above and below L. Thus the two possible assignments are
     - Q at $(12,0)$ and D at $(12,-8)$, or
     - Q at $(12,-8)$ and D at $(12,0)$.
   - M is $5$ m west of Q, so M is either at $(7,0)$ or at $(7,-8)$.
   - Relative to S these give two different positions (one is $7$ m east of S, the other is $7$ m east and $8$ m south of S). Because Q could be either the upper or lower endpoint, Statement I leaves an ambiguity. Therefore statement I alone is not sufficient.

2. Statement II (sufficient):
   - O and F are horizontal endpoints $8$ m apart, with F $8$ m west of O. Their midpoint M is therefore $4$ m west of O and $4$ m east of F.
   - Place O at $x=0$, then F is at $x=-8$ and M at $x=-4$ on the same horizontal line.
   - S is $4$ m west of F, so S is at $x=-12$ on that same horizontal line.
   - Thus M is $(-4)-(-12)=8$ m east of S, with no vertical offset. Statement II therefore gives a unique answer.

Conclusion: Statement II alone is sufficient while Statement I alone is not. FINAL_ANSWER: e

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