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
- A2
- B3
- C5
- 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