The set {1, 2, 3, 5, 7, 8, 9} under multiplication modulo 10 is not a group.…

GATE · 2006 · CS

The set {1, 2, 3, 5, 7, 8, 9} under multiplication modulo 10 is not a group. Given below are four possible reasons. Which one of them is false?

  1. A.

    It is not closed

  2. B.

    2 does not have an inverse

  3. C.

    3 does not have an inverse

  4. D.

    8 does not have an inverse

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