In each of the questions below three statements are given followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:
Only a few Light is Dark
No Dark is Sun
Only a few Sun is Moon
Conclusions:
I. Some Moon is not Light
II. Some Moon is not Dark
III. All Light being Dark is a possibility

Correct Answer: Only II follow

Let us analyze the given statements and conclusions step-by-step using standard syllogism logic and set concepts.

Understanding the Statements:
1. "Only a few Light is Dark": This means that Some Light is Dark AND Some Light is NOT Dark.
2. "No Dark is Sun": The set of Dark and the set of Sun have absolutely no intersection/overlap.
3. "Only a few Sun is Moon": This means that Some Sun is Moon AND Some Sun is NOT Moon.

Evaluating Conclusion I: "Some Moon is not Light"
From the statements, there is no direct or definite restriction placed between Moon and Light. The set of Moon can entirely overlap with Light without violating any of the given statements. Therefore, "Some Moon is not Light" is not a definite conclusion.
⇒ Conclusion I does not follow.

Evaluating Conclusion II: "Some Moon is not Dark"
Statement 3 tells us that "Some Sun is Moon" (i.e., there is a common portion shared between Sun and Moon). Statement 2 strictly states that "No Dark is Sun" (i.e., no element of Sun can ever belong to Dark).
Therefore, the specific portion of Moon that overlaps with Sun can NEVER be Dark. Hence, that portion of Moon is definitely not Dark.
⇒ Conclusion II logically follows.

Evaluating Conclusion III: "All Light being Dark is a possibility"
Statement 1 explicitly specifies "Only a few Light is Dark", which inherently implies that some portion of Light is definitely NOT Dark. Because of this restriction, it is impossible for all of Light to be contained within Dark.
⇒ Conclusion III does not follow.

Conclusion:
Only Conclusion II logically follows from the given statements.