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Algebra

11. If a, b are positive integers, define a * b = a where ab = a (modulo 7), with this * operation, then inverse of 3 in group G (1, 2, 3, 4, 5, 6) is

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12. Which of the following is TRUE ?

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13. The set of all nth roots of unity under multiplication of complex numbers form a/an

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14. Which of the following statements is FALSE ?

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15. In the group G = {2, 4, 6, 8) under multiplication modulo 10, the identity element is

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