Discrete Maths MCQ - Sets
Set of rational numbers  form an abelian group under multiplication .  It satisfies with 0 also.  As we know abelian group follow some properties:
1. associative i.e. ao(boc)= (aob)oc  for 0  0*(1*2)=0 and (0*1)*2=0 so this property has proveÂ
2. If an element 4 belongs to  G  such that 0o4=0 for all 0 belongs to GÂ
3. For any a belongs to G and  b belongs to G such that aob=e   for ex:    a=0 b=2  For * 0*2=0  and  0 is identity(e) for multiplication
4. For commutative property 0*4=4*0=0
So all properties of abelian group are followed by  0 also  so  statement is correct
So answer is (D)
