CBSE NET December 2015 PAPER II

Q.Which of the following property/ies a Group G must hold, in order to be an Abelian group? (a) The distributive property (b) The commutative property (c) The symmetric property Codes:

(A) (a) and (b)

(B) (b) and (c)

(C) (a) only

(D) (b) only

Ans :- (D)

Explanation:-

A Group has 4 properties, namely closure, associativity, existence of identity,existence of inverse. When a Group hold commutative property too, then it’s known as Commutative group or Abelian group.