Let-be-the-binary-operation-on-the-set-1-2-3-4-5-defined-by-a-b-H-C-Fof-a-and-b-Is-the-operation-same-as-the-operation-defined-above-justify-your-answer-

Question Number 93933 by oustmuchiya@gmail.com last updated on 16/May/20

L e t *^{'} b e t h e b i n a r y o p e r a t i o n o n t h e s e t {1, 2, 3, 4, 5} d e f i n e d b y a *^{'} b = H . C . F o f a a n d b .

I s t h e o p e r a t i o n *^{'} s a m e a s t h e o p e r a t i o n * d e f i n e d a b o v e ? j u s t i f y y o u r a n s w e r .

Commented by Rasheed.Sindhi last updated on 16/May/20

O p e r a t i o n *^{'} i s d e f i n e d i n t h e

q u e s t i o n . W h a t d o y o u m e a n b y

“ o p e r a t i o n *^{″} ?

Commented by oustmuchiya@gmail.com last updated on 16/May/20

T h a t i s h o w t h e q u e s t i o n i s . I d e s p e r a t e l y j u s t n e e d h e l p .

Commented by mr W last updated on 16/May/20

o n e c a n n o t g i v e a r i g h t a n s w e r t o

a w r o n g q u e s t i o n!

Commented by prakash jain last updated on 16/May/20

hi oustmuchiya check your textbook maybe this question is part of a group of question and '*' is defined before this question

Commented by oustmuchiya@gmail.com last updated on 16/May/20

A c t u a l l y i t i s a n a s s i g n m e n t . T h e

q u e s t i o n s a r e a s f o l l o w s :

1 . L e t *^{'} b e t h e b i n a r y o p e r a t i o n o n

t h e s e t {1, 2, 3, 4, 5} d e f i n e d b y a *^{'} b = H . C . F .

o f a a n d b . I s t h e o p e r a t i o n *^{'} s a m e

a s t h e o p e r a t i o n * d e f i n e d a b o v e .

j u s t i f y y o u r a n s w e r .

2 . L e t * b e t h e b i n a r y o p e r a t i o n o n

N g i v e n b y a * b = L . C . M . o f a and b .

F i n d (i) 5 * 7, 20 * 16

(ii) i s * c o m m u n i t a t i v e ?

(iii) i s * a s s o c i a t i v e ?

(iv) f i n d t h e i d e n t i t y o f * i n N

(v) w h i c h e l e m e n t s o f N a r e

i n v e r t i b l e f o r t h e o p e r a t i o n * ?