BCA

No, you are not eligible to take direct admission in 3rd semester.
Good luck.

Candidates should have 50% marks in Class X and XII with maths/stats/computer Science/Computer Application/Business Maths as a subject. If you have a subject maths in class 12th, then you can get an admission in IEM. BCA is a 3 year course comprises of 6 semesters, in which you have to do maths in 4 semesters (compulsory ). Good luck.

Yes, you can get. The Lovely Professional University (LPU) Jalandhar is one of the University offers BCA lateral admission to Diploma engineering students. The eligibility criteria is as under. Eligibility: Pass with 50% aggregate marks in Diploma (engineering.). Good luck.

Yes, you can take admission for BCA. Good luck.

Yes, you can pursue BCA without having Maths in class 12th. Good luck.

The duration of MCA is 2 years after completing BCA. Good luck.

Either you can still try to give the entrance exam and hope to get the best results. Or, you can take a break for a year and then reappear next year.

Almost 99% colleges will provide you admission for BCA across India. So, don't worry about the colleges, you will be eligible for admission into all of them. Just try to score at least 60% to be eligible for admission into top colleges. Also, make sure to look up for entrance exams forms and attend them to be able to get into top colleges.

Yes, you can get admission in Techno India College for BCA.
Good luck.

Yes, you can do BCA with economic statistics. Good luck.