FDI and FII.

Present a profile of the important services exported by India.

Describe the changes in the SSI sector in the MSMED Act of 2006.

Outline the FDI policy pursued by India over different time periods

Discuss the trend in the performance of India’s External Sector during the period 2019- 20.

Explain the transformation of Indian agriculture from its traditional to the modern phase during the 1960s to 1990s.

Find K^G where 

Let G be a group of automorphisms of a field K. Is the fixed field  K^G a subfield of K ? Why, or why not?

Use the division algorithm to find the inverse of .

Check whether or not  is a Euclidean domain

Check whether 9782957210008 is a valid ISBN number.

Evaluate the following Legendre Symbols:

Give two distinct rings whose quotient field is {a ib a, b }. + Justify your answer.

Check whether or not the ring 

i) is finite;
ii) has zero divisors;
iii) has nilpotent elements.

Construct the free group on the set Further, check if it is a free abelian group or not.

Find all the possible abelian groups, up to isomorphism, of order 900.

Show that SU(2) and S³ are structurally the same.

Write as a product of O(3) and an element of B₃ ( ).

Let G1 and G2 be finite groups such that p divides  | G₁ | and  | G₂ | . Prove that the Sylow p-subgroups of G₁ G₂ are precisely of the form P₁ P₂ ,  where P₁ and P₂ are Sylow p-subgroups of G₁ and G₂ respectively.

Find the number of Sylow 5-subgroups, Sylow 7-subgroups and Sylow 2-subgroups A₅ has.