Hindu College, University of Delhi

No, your percentage is too low so you won't get any seat for B.Sc(Hons.) Try for some other courses. The cutoff is hardly 75 so your percentage is too low. You don't even have 1st division so not a chance. Nowadays, 60% for honors is mandatory, so I recommend you to give improvement of 12th and score high percentage so that you can get a seat in some good college and with your own subject selection or go for entrance test so that the percentage doesn't matter.
Good Luck.

Yes, you can enroll without maths if the same is not mentioned.

Hello Harshal, getting admission in Hindu with 80% is quite tough. The cutoff goes quite high as Hindu is one of the top ranked colleges of India.
Also, it depends on the category you belong to out of the four: General/OBC/SC/ST.
If you are planning to apply in DU this year, check all the cut off lists as they come. There is no 'management quota' in DU. Admission is purely based on merit.

Hansraj College is best for Economics Honors as it provides better faculty members and better placement opportunities.

Yes, you can get these colleges, but it will depend upon course and it's individual cut-offs. But, you may get both. All the best, fill the university forms.

According to me, people holding rank 43 also not getting admission in North campus, because there are fewer seats. It will depend upon your rank but it has to be in top 40 atleast to get north campus.

Yes, of course. You can go for arts from science stream. If you have a career planning for arts, then just go for it.