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    What is the year before 2001 whose calendar is the same as 2001?
    Question

    What is the year before 2001 whose calendar is the same as 2001?

    A.

    2004

    B.

    1999

    C.

    2011

    D.

    1990

    Correct option is D

    Given
    Target Year = 2001

    Formula Used
    A calendar repeats if the sum of odd days between the years is divisible by 7 (i.e., 0 odd days).

    Solution
    We need to find a year prior to 2001 with the same calendar.
    Let's count odd days backwards from 2000.
    2000 (Leap Year) = 2 odd days
    1999 (Ordinary Year) = 1 odd day
    1998 (Ordinary Year) = 1 odd day
    1997 (Ordinary Year) = 1 odd day
    1996 (Leap Year) = 2 odd days
    1995 (Ordinary Year) = 1 odd day
    1994 (Ordinary Year) = 1 odd day
    1993 (Ordinary Year) = 1 odd day
    1992 (Leap Year) = 2 odd days
    1991 (Ordinary Year) = 1 odd day
    1990 (Ordinary Year) = 1 odd day
    Sum of odd days = 2 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 1 = 14
    Since 14 is divisible by 7, the calendar of 1990 is the same as that of 2001.

    Final Answer
    So the correct answer is (d)

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