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51. G(e, a, b, c} is an abelian group with 'e' as identity element. The order of the other elements are
2,2,3
3,3,3
2,2,4
2,3,4
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52. If every element of a group G is its own inverse, then G is
infinite
finite
cyclic
abelian
53. The universal relation A x A on A is
an equivalence relation
anti-symmetric
a partial ordering relation
not symmetric and not anti-symmetric
54. Total number of different partitions of a set having four elements is
16
8
15
4
55. A partition of {1, 2, 3, 4, 5} is the family
{(1, 2),(3, 4),(3, 5)}
{φ(1, 2),(3, 4),(5)}
{(1, 2, 3),(5)}
{(1, 2,), (3, 4, 5)}
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