Question

(19) Mother , I am awfully hungry__________ I eat another slice of coconut cake? (i) can (ii) should (iii) may (iv) might​

Answer 1

Answer:

may

cause she/he is taking permission

Answer 2

Answer :

Mother, I am awfully hungry can/may I eat another slice ?

Reason :

Here I [pronoun] is asking her/his mother to eat another slice, I is requesting or taking permission

The answer can also be may, both may and can are correct.