Colleges in Madhya Pradesh

Not necessarily, but you need to know the statistical methods.

You need to qualify any one of the management entrance exams mentioned below:
CAT : cut-off 85 percentile
XAT : cut-off 85 percentile
GMAT : cut-off 85 percentile
The above-mentioned cut-off does not guarantee you an admission. You need to have a good academic profile. Qualifying GD-PI round is very crucial.

No, it is not necessary. You need to be maximum 20 years of age.
You can check the below mentioned link:
https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&cad=rja&uact=8&ved=0ahUKEwi00c_w_YzPAhVEn5QKHVceC-UQFggkMAE&url=http://www.iimidr.ac.in/wp-content/uploads/Revised_AP_IPM2016-21_DomesticApplicants.pdf&usg=AFQjCNFOWWZiDlT0q8jhafcg2JwhplMogA

Satyabama University would be a better choice but to know the exact scenario for faculty and placements get in touch with the current students through social media or in person.

No Aakash Institute do not provide VITEEE coaching.

Dear Kishor,
It seems to be good for MBA, but as far as placement is concerned, I cannot say that they have hundred percent placement percentage because they are not specific in claiming that.
All the best.

Hi Yash,
You may opt for the five year integrated programme after 12th. The selection process is rigorous and very competitive. In addition, you must clear an entrance exam followed by a personal interview. Please refer to the IIM Indore page for details:
http://www.iimidr.ac.in/academic-programmes/five-year-integrated-programme-in-management-ipm/
I hope it helped.

It is well and good enough for a good career.

One can prepare for such exams by themselves by using books like HC Verma / PS Bangvi / NCERT books for physics. For mathematics you can use RD Sharma while for chemistry NCERT does well. These books contains theory as well as numerical which are very helpful.