The correct option is A is
Indefinite pronouns refer to non specific beings or objects. When the pronoun is singular, the verb that follows is also singular. This is called the subject-verb agreement.
In the given sentence, 'each' is a singular pronoun, hence it must be followed by a singular verb.
From the options, 'is' is the singular verb form of 'to be'. ('Believable is a subject complement and is usually preceded by the verb form 'to be'.) Hence option A is correct.
'Are' is a plural verb, whereas a singular (indefinite) pronoun is followed by a singular verb, hence option B is incorrect.
'To be' is the base form of the verbs given in A and B, it is an infinitive and does not directly function as a verb. Hence option C is incorrect.
'Has' is a verb that means 'to possess or own', when placed it must be followed by the noun it possesses. Here, the verb 'has' is followed by an adjective 'believable', which is grammatically incorrect.
Hence D is wrong.