Discrete Maths - Sets
37. The set of all nth roots of unity under multiplication of complex numbers form a/an
- Option : D
- Explanation :
You must be logged in to post a comment.
You must be logged in to post a comment.
38. Which of the following statements is FALSE ?
- Option : D
- Explanation : 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 proveÂ2. If an element 4 belongs to  G  such that 0o4=0 for all 0 belongs to GÂ3. 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 multiplication4. For commutative property 0*4=4*0=0So all properties of abelian group are followed by  0 also  so  statement is correctSo answer is (D)
You must be logged in to post a comment.
You must be logged in to post a comment.
39. In the group G = {2, 4, 6, 8) under multiplication modulo 10, the identity element is
- Option : A
- Explanation :
You must be logged in to post a comment.
You must be logged in to post a comment.
- Option : A
- Explanation :
You must be logged in to post a comment.
You must be logged in to post a comment.
You must be logged in to post a comment.