The correct option is
D like
In order to fill in the blank with the correct form of the verb, we must understand the tense of sentence.In the given sentence, the word 'like' explains us that the sentence is a general statement. Hence, we can say that the sentence is in simple present tense. In simple present tense, the verb is usually in its original form or in the third person form, depending on the subject.
The words 'waking' and 'hearing' are nouns here and not verbs. Hence, we shouldn't get confused with present continuous tense. The sentence states a general fact, hence, the blank will be filled with simple present tense.
Option A - 'Likes' is a singular verb. As the subject 'I' is considered to be plural in English, we need a plural verb. Hence, option A is incorrect.
Option B - 'Liked' is the past form of the verb 'like'. As the sentence is in the simple present tense, the verb can't be in past tense. Hence, option B is incorrect.
Option D - 'Liking' is the participle form of the verb 'like'. As we need the verb in the plural form, we can't use 'liking' here. Hence, option D is incorrect.
Option C - 'Like' is a verb in its plural form and represents simple present tense. As 'I' is a plural subject, we can use 'like'. Hence, option C is the correct answer.
'I like waking up early in the morning and hearing birds singing.'