The last day of a century cannot be

  1. Monday
  2. Wednesday
  3. Friday
  4. Saturday
Anurag Mishra Professor Asked on 20th April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (4) Saturday 

    Solution:-
    100 years contain 5 odd days.
    Therefore, Last day of 1st century is Friday.
    200 years contain (5 x 2) = 3 odd days.
    Therefore, Last day of 2nd century is Wednesday.
    300 years contain (5 x 3) = 15  =  1 odd day.
    Therefore, Last day of 3rd century is Monday.
    400 years contain 0 odd day.
    Therefore, Last day of 4th century is Sunday.
    This cycle is repeated.
    Therefore, Last day of a century cannot be Tuesday or Thursday or Saturday.

    Hence, the correct answer is option (4) Saturday.

    Anurag Mishra Professor Answered on 22nd April 2016.
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