Education Administration

Yes, there are courses available in distance education for financial management. Top institutes offering Distance MBA in Finance are mentioned at the link provided below:
https://www.shiksha.com/mba/articles/top-institutes-offering-distance-mba-in-finance-blogId-8005.

Hi,
Eligibility
Candidate must be a graduate from a recognized college /university.
Admission Process
Interested candidate can apply directly to the college.
https://www.shiksha.com/mba/course/master-of-business-administration-odm-institute-of-computer-and-management-education-gurgaon-188169

Hi,
You need to follow an effective schedule of study. Give proper required time to each subject.
Keep your mind calm, focused and stable.
Do meditation if you get time.
Don't eat such food that makes you sleepy.
Solve and practice the sample papers.
Take proper sleep and diet. Be healthy and don't eat junk.
Try and study early morning time because it is considered as the best time to perceive and concentration.
Prepare notes and study them. Instead of mugging up, just understand the subjects and concepts.
Don't take the stress of exams and follow a healthy routine.
Following all this can help you do better.
Hope my answer helped you!.
Regards.

NCHMCT-JEE is the entrance exam in India for hotel management.

MBA is not a bad course, but now a days, there is very less scope in the market.

There is no problem in gaping your education. But, you may face the problem with your age bar. Not only in government sector, but private sector also have to fulfill some criterion where age play a major role. So, without delay, you must try for job just after completion of your Master's degree.