Yes Rohan,  you can take admission in NDRI after class 10 for diploma. 

Available diploma courses in NDRI are

1.Diploma in diary Technology .

2.Diploma in Animal Husbandry and dairying.

And the syllabus regarding this  is:

Maths: Algebra, Real numbers, Geometry, Arithmetic progressions, Statistics, Trigonometry (10th based)

Science: Nature of matter, metals and non-metals, work power energy,  sound, light,  electric and magnetic fields, periodic classification,chemical reactions, conservation of natural resources, Reproduction and heridity, Gravitation. 

General Knowledge: which is expected to be possessed by a 10th student.

English: having good knowledge of grammar part taught till 10th is much enough.

All the best for your Career from Careers360 :)