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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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