B.Ed

Yes, you can take admission in B.Ed. through distance mode.

If you have completed your graduation, then you can fill up both forms, but if you completed +2, then you can only fill for 4 year integrated BA B.Ed course.

General Reasoning question in B.Ed carries 25 marks in the Exam. Reasoning consist of the following patterns:
1-Analogy
2-Number Series
3-Find out wrong term
4-Alphabets series
5-coding and decoding
6-Different from others
7-Blood related problem or family and relation related problems
8-Substitution
9-Direction
10-Calender
11-Miscellaneous
12-Cubes Problems
Best of Luck.

The criteria for admission for B.ed is 50% marks. You can't do it, if you belong to general category. But, if you belong to a reserved category, then you are eligible.

The duration for PhD course is 3 years followed by an internship programme in some of the colleges.

Please check for your eligibility to pursue a B.Ed in physical Science from the criteria mentioned below:
Eligibility for B.Ed. in Physical Science:
Listed below are the minimum criteria which candidates interested in pursuing the course are required to fulfil, in order to be eligible to apply for the course:
Successful completion of graduation (B.A. / B.Sc. / B.Com. ), from a recognised university. A minimum aggregate score of 50% (45% for SC/ST candidates) at the level of graduation. Regards.

Yes, you can apply for it. There will be entrance exam for this course. You should have 50% in your graduation (55% in case of engineering and technology and 45% for SC/ST). Question pattern is all similar to normal exams of B. Ed, you can refer the books of sample papers.