Training for Competitive Examinations (23PMASE41)

If G is Abelian then every two complexes are -------

• Not permutable

• Permutable

• May or May not Permutable

       

• Empty

If G is a set of integers and a.b=a-b then G is -------

• Quasi group

• Semi group    

• Monoid

• Abelian group

Determine the pole and residue at the pole of the function f(z)=z/z-1

• (1,1)

             

• (2,2)

             

• (1,2)

             

• (2,1)

What Kind of singularity have the functions cotZ at z=0

• Isolated

            

• Essential

            

• Isolated essential

            

• Non Isolated essential

The normalizer N_G (H) of a subset Hof a group G is-----

• Subgroup of G

• Complex of G

• Coset of G

• Normalize of G

The total number of students of a finite set A has 56 more elements then the total number of subsets of another finite set B. what is the number of elements in the set A?

• 5

• 6

• 7

• 8

• Convergent

• Divergent

• Absolutely Convergent& Convergent

• Bounded

• 0

• 1

• -1

• 

• 0

• 1

• 1/2

• Does not exists

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• 
• 
•