Science Eligibility

Yes, you are eligible for Master of science in food and nutrition of Padmashree Institute of Management and Sciences. The eligibility criteria of the asked course is given below:
Eligibility: Graduates who have secured a minimum of 50% marks in the aggregate of all subjects are eligible.

PG Diploma in Dietetics is a 1.5 years course (Including 6 month internship) with total intake of 04 only. The admission in course will be done through the Entrance test of Special Dietetics paper. The eligibility criteria is B.Sc. In Home Science or B.Sc. Nutrition and Dietetics. So in my opinion Food Science and QC is a part of home Science so you can be eligible for the asked course.

Yes, you are eligible to apply for PG Diploma dietetics. The eligibility criteria of SNDT Women University is given below for reference please. Eligibility criteria : Minimum percentage is 45% or B grade for students who have the following degrees: B.Sc. Foods and Nutrition, B.Sc. Food Science and Nutrition, B.Sc. Clinical Nutrition and Dietetics/Nutrition and Dietetics, B.Sc. Public Health and Nutrition, B.Sc. Food Science and Quality Control, B.Sc. Applied Nutrition, B.Sc. Food Technology.

The eligibility criteria of Five Year Integrated Programme in Management (IPM) is given below:
Eligibility criteria : The candidate should have passed 12th with minimum 60% of marks in 10th and 12th in year 2018,19 or appearing in 2020. (55% for SC/ST and PWD candidates).
Age : Born on or after 01 August 2000. (5 years relaxation to SC/ST/PWD)
Admission criteria : IPMAT Entrance test +WAT+PI.
So 12th science students are eligible for IPM course.

The eligibility criteria of B.Sc Aeronautical Science is given below. Eligibility B.Sc Aeronautical Science: Students who opted for Physics, Chemistry and Mathematics or Biology in 10+2 examination can pursue this course. The main subjects in this course are Botany, Zoology, Chemistry, Electronics, Mathematics, Physics, Life Sciences, Computer Science, Statistics, Microbiology, Biotechnology, Food Technology, Instrumentation, Biochemistry, Computer Science etc. So, Math is not mandatory here.