1. The number of all one-one functions from set A = {1, 2, 3} to itself is
a) 2
b) 6
c) 3
d) 1



2. A relation R from A to B is an arbitrary subset of
a) A × B
b) B × A
c) A × A
d) B × B



3. A relation R in a set A is said to be an equivalence relation, if R is
a) symmetric only
b) reflexive only
c) transitive only
d) All of these



4. A1 coincides with the set of all integers in Z which are related to …A…, A2 coincides with the set of all integers which are related to …B… and A3 coincides with the set of all integers in Z which are related to …C… . Here, A, B and C are respectively
a) one, zero, two
b) zero, one, two
c) two, one, zero
d) one, two, zero



5. If (a, b) ÎR, where R is a relation, then
a) (a, b) is not an ordered pair
b) a = b only
c) ab = 1 only
d) a is related to b under the relation R



6. The relation R defined in the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(a, b) : both a and b are either odd or even}. Then, R is
a) symmetric
b) transitive
c) an equivalence relation
d) reflexive



7. The relation R in the set {1, 2, 3, …, 13, 14} defined as R = {(x, y) : 3x – y = 0} is
a) reflexive
b) transitive
c) symmetric
d) None of these



8. Let R be the relation in the set Z of all integers defined by R = {(x, y) : x – y is an integer}. Then R is
a) reflexive
b) symmetric
c) transitive
d) an equivalence relation



9. If R is the relation defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1}, then R is
a) reflexive
b) symmetric
c) transitive
d) None of these



10. The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is
a) reflexive
b) symmetric
c) transitive
d) reflexive and symmetric


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