The correct answer is: Neither of the biscuits you gave me contains chocolate chips.
The subject of the sentence is “Neither of the biscuits you gave me.” The verb must agree with the subject in number. The subject is plural, so the verb must also be plural. The verb “contains” is plural, so it is the correct answer.
The other options are incorrect because they are singular. The verb “is” is singular, so it is incorrect. The verb “are contained” is also singular, so it is also incorrect.
To further explain, the word “neither” is a negative word. It means “not either.” So, the sentence is saying that none of the biscuits you gave me contains chocolate chips.