Algebra mcqs Test 09

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

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

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

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

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

8. which of the following is even permutation

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

10. Let G be a group and a,b ∈ G then order of  =