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COMEDK2020MathematicsSets and Relations

In the group (G ₁₅ ) , where G= 3,6,9,12 , ₁₅ is multiplication modulo 15 , the identity element is

Options

  1. A6
  2. B3
  3. C9
  4. D12

Correct answer

A. 6

Step-by-step solution

The composition table is array lllll 15 & 3 & 6 & 9 & 12 3 & 9 & 3 & 12 & 6 6 & 3 & 6 & 9 & 12 9 & 12 & 9 & 6 & 3 12 & 6 & 12 & 3 & 9 array From the table 6 is the identity element.

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