Answer:
B. Hugged.
D. Begged.
Explanation:
Both B and D are correct. -ed is added to both of these words. However, the rule of grammar requires if certain words like "hug" and "beg" are to be ended with suffixes such as "ing" and "ed" the last letter of the word must be duplicated. So the words will be changed from "hug" to "hugging/hugged" and "beg" to "begging/begged".