A) 1
B) 3
C) 7
D) 9
Correct Answer: C
Solution :
Given \[G=\,\{1,\,\,3,\,\,7,\,\,9\}\] Here, \[1{{\times }_{10}}1=1,\,\,3{{\times }_{10}}1=3,\,\,7{{\times }_{10}}1=7\]\[9{{\times }_{10}}1=9\]. It is clear that 1 is the identity element. Since G is a group, then inverse of each element exist in G \[\Rightarrow \,\,3{{\times }_{10}}7=1=7{{\times }_{10}}3\] \[\therefore \,\,7\in G\] is the inverse of 3.You need to login to perform this action.
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