MCQ

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 Show Answer Ans b 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 Show Answer Ans 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 Show Answer Ans d 4. A 1 coincides with the set of all integers in Z which are related to ... A ... , A 2 coincides with the set of all integers which are related to ... B ... and A 3 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 Show Answer Ans b 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 Show Answer Ans d