Which of the Following Statements About the Stereochemistry of Halogenation

Which of the following statements about the stereochemistry of halogenation reactions is true?

A) An achiral starting material always gives an achiral product only.
B) The configuration at a stereogenic center of a product must change even if a reaction does not occur at a stereogenic center.
C) An achiral starting material always gives a racemic product only.
D) An achiral starting material always gives either an achiral or a racemic product.