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COMEDK2018MathematicsMathematical Reasoning

In the group 1,2,3,4,5,6 under multiplication 7,2⁻¹ X₇⁴=

Options

  1. A1
  2. B4
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

Under Multiplication Modulo 7 , inverse of 2 is 2 4=1( 7) Hence, 2⁻¹=4 Now, 2⁻¹ 4=4 4=16 Now, 16=2 7+2 Hence dividing 16 by 7 gives a remainder 2 , Therefore, value of above multiplication mod is 2.

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