Algebra MCQs Test 07

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Algebra MCQs Test 06

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1. R+ is a group of non-zero positive real number under multiplication. Then which of the following group under addition is isomorphic to R+

 
 
 
 

2. Let G be a group and a,b ∈ G then order of a^{-1} =

 
 
 
 

3. which of the following is even permutation

 
 
 
 

4. Let G be a cyclic group . Then which of the following cab be order of G.

 
 
 
 

5. The group in which every element except the identity element has infinite order is called

 
 
 
 

6. If X and Y are two sets s.t n(x)=17, n(Y)=23 and n(X∪Y)=38 then n(X∩Y)=?

 
 
 
 

7. Let G be a cyclic group of order 17. The number of subgroups of G are

 
 
 
 

8. Let G be an infinite cyclic group . Then the number of generators of G are

 
 
 
 

9. Let X has n elements. The Set Sn of all permutations of X is a group w.r.t to mappings

 
 
 
 

10. Number of non-empty subsets of the set {1,2,3,4}

 
 
 
 

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