Answer: B - Were your parents or grandparents ever diagnosed with Huntington's disease?
Explanation: In autosomal dominant disorder, affected offsprings must have an affected parent. Unaffected parents do not transmit the disease.
Since the disease is caused by a dominant allele, the young man would only be at risk of having Huntington's disease if his parents or grandparents had ever been diagnosed with the disease. He needs not to worry if his parents or grandparents had never been diagnosed with the disease.
His cousin who has been diagnosed with the disease could have inherited the allele from his other parent.