COMEDK · Maths · 17. Mathematical Reasoning
Which of the following is a subgroup of the group \(G=\{1,2,3,4,5,6\}\) under \(\otimes 7 ?\)
- A \(\{2,6,1\}\)
- B \(\{1,2,4\}\)
- C \(\{5,4,2\}\)
- D \(\{2,3,1\}\)
Answer & Solution
Correct Answer
(B) \(\{1,2,4\}\)
Step-by-step Solution
Detailed explanation
Option (c) cannot be subgroup as identity ' 1 ' is not present. Option (d) cannot be a subgroup of \(2 \otimes_{7} 3=6\) \(\notin\{1,2,3\}\). Option (a) cannot be a subgroup as \(2 \otimes_{7} 6=5\) \(\notin\{2,6,1\}\). So, option (b) is a subgroup.
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