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KCET2007MathematicsMathematical Reasoning

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

Options

  1. A3
  2. B6
  3. C12
  4. D9

Correct answer

B. 6

Step-by-step solution

Given, G= 3,6,9,12 The composition table is array c|cccc x₅ & 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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