Statement: All scientists are hardworking. Some hardworking people are not well-paid.
Conclusions:
I. Some scientists are not well-paid.
II. Some well-paid people are scientists.

Following is a Venn diagram defining the three classes, "scientists", "hardworking", and "well-paid".

Based on the given info, we can draw the following conclusions:

Since all scientists are hardworking, the inputs in the scientist circle that are outside the hardworking circle are zero. Since there are some hardworking people who are not well paid, the inputs a and b will be such that a+b>0. No other information can be known.

Statement I says that some scientists are not well-paid. This requires the value of b to be greater than zero. The best we can say is that a+b>0. Therefore, statement I does not follow.

Statement II says that some well-paid people are scientists, this requires the central input of the venn diagram to be greater than zero, which we cannot say anything of.

The correct answer is option D; neither 1 nor 2 follows.