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Eduncle posted an MCQ
May 24, 2023 • 23:44 pm 0 points
  • CSIR NET
  • Mathematical Sciences

The reminder obtained when 162016 is divided by 9 equals

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  • Reema Sushanth

    16^3=4096 =1 mod 9 16^(3*672)= 1^672 mod 9 16^2016= 1 mod 9

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    Eduncle Best Answer

    162016  = (42)2016 = (4)4032

                    4 ≡4 mod 9

                    42 ≡7 mod 9

                    43   0  1 mod 9

                    (43)1344 ≡ 11344 mod 9

                    (4)4032 ≡ 1 mod 9

                    (42)2016 ≡ 1 mod 9

                    (16)2016 ≡ 1 mod 9

                    Hence remainder obtained when (16)2016 divided by 9 is 1.

                    Therefore, Option (1) is correct.

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