Answer: B; A
Explanation:
A strict risk minimizer would work to avoid risk at all costs. For this reason they will pick Stock B if it were held in isolation. This is because it has the lowest Standard Deviation which is a measure of risk. As the deviation is the lowest, it is the least risky.
If the stock is to be held in a well diversified Portfolio then Stock A will be picked. Standard Deviation has Unsystematic risk which is diversified away in a well diversified portfolio therefore the measure of risk here is the beta. The lowest beta is the least riskiest and so the strict risk minimizer will pick Stock A.