The correct option is A was
It is to be kept in mind that Either, Neither, Each, Everyone, Many a, must be followed by a singular verb.
'Either of the applicants' means each individual applicant. So, we are referring to a singular noun. By the general convention, a singular noun takes a singular verb. Hence, Option B 'was' is correct and Option A 'were' is incorrect.
Options C and D are incorrect because they are irrelevant to the context.