Three statements are given followed by two conclusions numbered I and II.  Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

1. All goats are black.

2. Some black are white.

3. No black is gold.

Conclusions:

I. Some goats are white.

II. Some goats being gold is a possibility.

Neither conclusion I nor II follow 

A Venn diagram based on the statements is:

1. There is no overlap between goats and white, thus conclusion I does not follow,

2. There is no clear connection between goats and gold, thus conclusion II does not follow.

⇒ Neither conclusion I nor II follow.