That's really great to hear that even at age 35 you're so motivated to study further. You'll be glad to hear that yes you can give the CAT examination and complete your MBA course. There is no age restriction for appearing for the CAT exam. You just need the bachelor's degree which you possess and job experience doesn't matter for giving the cat examination.

Reger to the eligibility criteria for more details -:

https://bschool.careers360.com/articles/cat-eligibility-criteria

Best wishes. Thank you.