31. If every element of a group G is a power of one and the same element, then G is called:
A. Infinite
B. Finite
C. Cyclic
D. Symmetric
32. Every subgroup of a cyclic group is:
A. Abelian
B. Normal
C. Cyclic
D. Trivial
33. Let G be a group of order 18, then G must have a unique subgroup of order:
A. 5
B. 6
C. 7
D. 8
34. Every cyclic group is:
A. Abelian
B. Normal
C. Finite
D. Infinite
35. Every cyclic group of even order has a unique subgroup of order:
A. 2
B. 3
C. 4
D. 5
36. The number of subgroups of a cyclic group of order 12 is:
A. 3
B. 4
C. 5
D. 6
37. Group of order … has not a proper non-trivial subgroup?
A. 46
B. 47
C. 48
D. 50
38. An infinite cyclic group has exactly … generators.
A. 1
B. 2
C. 3
D. 4
39. The order of 3 in the group {0, 1, 2, 3} is:
A. 1
B. 2
C. 3
D. 4
40. Let G be a group, H be a subgroup of G and a ∈ G, then which of the following is a subgroup of G?
A. aH
B. Ha
C. Ha−1
D. aHa−1
