Find out the Remainder

When 10 ²º is divided by 1001, the remainder is –

  1. 999
  2. 0
  3. 100
  4. None of these
Desire Adnan Default Asked on 5th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) None of these
    Explanation:-
    Formula-
    If n  is even number, 
    Then, (X^n – a^n ) is completely divide by (X + a)
    Where, X is a base  & n is the power of the number.

    1020 = [(102)]10
    = 10010

    (10010 – 110) is completely divide by (100 + 1 = 1001)
    Then, the remainder is 1.

    Hence, the answer is (4) None of these.

     

    Anurag Mishra Professor Answered on 6th August 2015.
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