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71. The identity element in the group with respect to matrix multiplication is
with respect to matrix multiplication is
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72. A subset H of a group (G,*) is a group if
a,b ∈ H=> a * b ∈ H
a ∈ H => a-1 ∈ H
a,b ∈ H=> a * b-1 ∈ H
H contains the identity element
73. If A = {1, 2, 3} then relation S = {(1, 1), (2, 2)} is
symmetric only
anti-symmetric only
both symmetric and anti-symmetric
an equivalence relation
74. Which of the following statements is true?
Every equivalence relation is a partial-ordering relation.
Number of relations form A = {x, y, z} to B= (1, 2), is 64.
Empty relation φis reflexive
Properties of a relation being symmetric and being un-symmetric are negative of each other.
75. Let A = {1, 2, .....3 }Define ~ by x ~ y ⇔ x divides y. Then ~ is
reflexive, but not a partial-ordering
symmetric
a partial-ordering relation
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