Multiple-Question choice – TABLE for category of question?

I am working on a multiple choice question form. I am using Flask on the back-end and MySQL 5.7 as a database.

• There will be more than 1 end-user. I already made a users table but haven’t work on it yet
• There are multiple questions but I only display one question at once.
• Every question have either 3 or 4 possible choices (A, B, C or A, B, C, D)
• There is always one correct answer
• The user can filter question based on category and get stats by category (% of question answered for this category for example)

Should I create a new table called category which would look like category_id (int, primary_key), category_text (varchar(50))?

CREATE TABLE `questions` (   `question_id` int NOT NULL AUTO_INCREMENT,   `contributor_id` int NOT NULL,   `question_text` varchar(1000) NOT NULL,   `category` varchar(50) NOT NULL,   `answer_a` varchar(200) NOT NULL,   `answer_b` varchar(200) NOT NULL,   `answer_c` varchar(200) NOT NULL,   `answer_d` varchar(200) DEFAULT NULL,   `correct_answer` varchar(20) NOT NULL,   PRIMARY KEY (`question_id`) ) ENGINE=InnoDB AUTO_INCREMENT=10 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_0900_ai_ci;