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KCET2009MathematicsMathematical Reasoning

In the group G= 0,1,2,3,4,5 under addition modulo 6, (2+ ₆ 3⁻¹+ ₆ 4 )⁻¹ is equal to

Options

  1. A2
  2. B3
  3. C5
  4. D0

Correct answer

B. 3

Step-by-step solution

aligned (2+ ₆ 3⁻¹+ ₆ 4 )⁻¹ &= (2+ ₆ 3+ ₆ 4 )⁻¹ ( 3⁻¹=3 ) &= (5+ ₆ 4 )⁻¹=(3)⁻¹ &=3 aligned

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