Yes, you are eligible to sit for the SSC (Junior Hindi Translator) exam even if you did not study Hindi in your B.A. or M.A. in English.

The SSC JHT exam evaluates a candidate's proficiency in Hindi and English. While having studied Hindi in your previous degrees can be beneficial, it is not a strict requirement. As long as you meet the general eligibility criteria for the exam (such as educational qualifications and age limits), you can apply and appear for it.

However, it's advisable to prepare thoroughly for the Hindi language section of the exam. You might want to consider taking Hindi language courses or practicing Hindi grammar and vocabulary to enhance your skills.