Option D is correct. Two or more singular nouns joined by and require a plural verb. In sentence I, two nouns (car and bike) are joined by and and thus require the plural verb "are". There is subject-verb agreement. Thus, the sentence is correct. If the nouns suggest one idea to the mind, the verb it requires is singular. In sentence II, "Breaking and entering" refer to the idea of burglary. and thus require a singular verb, namely, "is". There is subject verb agreement in the given sentence. Thus, sentence II is correct.

Going by the above explanation, option C is incorrect.

Option A is incorrect since there is subject-verb agreement in sentence I.

Option B is incorrect since there is subject-verb agreement in sentence II.