COMEDK · Maths · 6. Mathematical Induction
In the group \(G=\{1,5,7,11\}\) under multiplication modulo 12, the solution of \(7^{-1} \underset{12}{\times}(x \underset{12}{12} 11)=5\) is \(x=\)
- A 11
- B 7
- C 1
- D 5
Answer & Solution
Correct Answer
(C) 1
Step-by-step Solution
Detailed explanation
Given that, \(G=\{1,5,7,11\}\) is a group under multiplication module 12 . \(\because \quad 7^{-1}=7 \quad\left[\because 7^{-1} \otimes_{12} 7=1\right]\)…
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