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# Set Theory and Algebra MCQ - Sets

21:

Let R be a relation "(x -y) is divisible by m", where x, y, m are integers and m > 1, then R is

 A. symmetric but not transitive B. partial order C. equivalence relation D. anti symmetric and not transitive Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
22:

If f : A ---> B is a bijective function, then f -1 of f =

 A. f o f -1 B. f C. f -1 D. IA(Identity map of the set A) Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
23:

The set of all real numbers under the usual multiplication operation is not a group since

 A. multiplication is not a binary operation B. multiplication is not associative C. identity element does not exist D. zero has no inverse Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
24:

If (G, .) is a group such that (ab)- 1 = b-1 a-1, ∀ a, b ∈ G, then G is a/an

 A. commutative semi group B. abelian group C. non-abelian group D. None of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
25:

If * is defined on R* as a * b = (ab/2) then identity element in the group (R*, *) is

 A. 1 B. 2 C. 1/2 D. 1/3 Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:

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