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Some people believe that January 1, 2000 is the first day of the 21st century. Other people believe that the............

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Some people believe that January 1, 2000 is the first day of the 21st century. Other people believe that the honor belongs to January 1, 2001. But everyone should agree that January 1, 2002 is the first "sum-day" of the new century- when you write out that date in standard notation, it becomes 01/01/02, and 1+1=2. More generally, a sum-day is a date in which the day and month add up to the year.
With that in mind:

A) What is the last sum-day of the 21st century?

B) How many sum-days are there in the 21st century?

posted Jan 18, 2018 by Atif

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1 Answer

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1/1/2002
2/1/2003
1/2/2003
3/1/2004
2/2/2004
1/3/2004
4/1/2005
3/2/2005
2/3/2005
1/4/2005
5/1/2006
4/2/2006
3/3/2006
2/4/2006
1/5/2006
6/1/2007
5/2/2007
4/3/2007
3/4/2007
2/5/2007
1/6/2007
7/1/2008
6/2/2008
5/3/2008
4/4/2008
3/5/2008
2/6/2008
1/7/2008
8/1/2009
7/2/2009
6/3/2009
5/4/2009
4/5/2009
3/6/2009
2/7/2009
1/8/2009
9/1/2010
8/2/2010
7/3/2010
6/4/2010
5/5/2010
4/6/2010
3/7/2010
2/8/2010
1/9/2010
10/1/2011
9/2/2011
8/3/2011
7/4/2011
6/5/2011
5/6/2011
4/7/2011
3/8/2011
2/9/2011
1/10/2011
11/1/2012
10/2/2012
9/3/2012
8/4/2012
7/5/2012
6/6/2012
5/7/2012
4/8/2012
3/9/2012
2/10/2012
1/11/2012
12/1/2013
11/2/2013
10/3/2013
9/4/2013
8/5/2013
7/6/2013
6/7/2013
5/8/2013
4/9/2013
3/10/2013
2/11/2013
1/12/2013
13/1/2014
12/2/2014
11/3/2014
10/4/2014
9/5/2014
8/6/2014
7/7/2014
6/8/2014
5/9/2014
4/10/2014
3/11/2014
2/12/2014
14/1/2015
13/2/2015
12/3/2015
11/4/2015
10/5/2015
9/6/2015
8/7/2015
7/8/2015
6/9/2015
5/10/2015
4/11/2015
3/12/2015
15/1/2016
14/2/2016
13/3/2016
12/4/2016
11/5/2016
10/6/2016
9/7/2016
8/8/2016
7/9/2016
6/10/2016
5/11/2016
4/12/2016
16/1/2017
15/2/2017
14/3/2017
13/4/2017
12/5/2017
11/6/2017
10/7/2017
9/8/2017
8/9/2017
7/10/2017
6/11/2017
5/12/2017
17/1/2018
16/2/2018
15/3/2018
14/4/2018
13/5/2018
12/6/2018
11/7/2018
10/8/2018
9/9/2018
8/10/2018
7/11/2018
6/12/2018
18/1/2019
17/2/2019
16/3/2019
15/4/2019
14/5/2019
13/6/2019
12/7/2019
11/8/2019
10/9/2019
9/10/2019
8/11/2019
7/12/2019
19/1/2020
18/2/2020
17/3/2020
16/4/2020
15/5/2020
14/6/2020
13/7/2020
12/8/2020
11/9/2020
10/10/2020
9/11/2020
8/12/2020
20/1/2021
19/2/2021
18/3/2021
17/4/2021
16/5/2021
15/6/2021
14/7/2021
13/8/2021
12/9/2021
11/10/2021
10/11/2021
9/12/2021
21/1/2022
20/2/2022
19/3/2022
18/4/2022
17/5/2022
16/6/2022
15/7/2022
14/8/2022
13/9/2022
12/10/2022
11/11/2022
10/12/2022
22/1/2023
21/2/2023
20/3/2023
19/4/2023
18/5/2023
17/6/2023
16/7/2023
15/8/2023
14/9/2023
13/10/2023
12/11/2023
11/12/2023
23/1/2024
22/2/2024
21/3/2024
20/4/2024
19/5/2024
18/6/2024
17/7/2024
16/8/2024
15/9/2024
14/10/2024
13/11/2024
12/12/2024
24/1/2025
23/2/2025
22/3/2025
21/4/2025
20/5/2025
19/6/2025
18/7/2025
17/8/2025
16/9/2025
15/10/2025
14/11/2025
13/12/2025
25/1/2026
24/2/2026
23/3/2026
22/4/2026
21/5/2026
20/6/2026
19/7/2026
18/8/2026
17/9/2026
16/10/2026
15/11/2026
14/12/2026
26/1/2027
25/2/2027
24/3/2027
23/4/2027
22/5/2027
21/6/2027
20/7/2027
19/8/2027
18/9/2027
17/10/2027
16/11/2027
15/12/2027
27/1/2028
26/2/2028
25/3/2028
24/4/2028
23/5/2028
22/6/2028
21/7/2028
20/8/2028
19/9/2028
18/10/2028
17/11/2028
16/12/2028
28/1/2029
27/2/2029
26/3/2029
25/4/2029
24/5/2029
23/6/2029
22/7/2029
21/8/2029
20/9/2029
19/10/2029
18/11/2029
17/12/2029
29/1/2030
28/2/2030
27/3/2030
26/4/2030
25/5/2030
24/6/2030
23/7/2030
22/8/2030
21/9/2030
20/10/2030
19/11/2030
18/12/2030
30/1/2031
28/3/2031
27/4/2031
26/5/2031
25/6/2031
24/7/2031
23/8/2031
22/9/2031
21/10/2031
20/11/2031
19/12/2031
31/1/2032
29/3/2032
28/4/2032
27/5/2032
26/6/2032
25/7/2032
24/8/2032
23/9/2032
22/10/2032
21/11/2032
20/12/2032
30/3/2033
29/4/2033
28/5/2033
27/6/2033
26/7/2033
25/8/2033
24/9/2033
23/10/2033
22/11/2033
21/12/2033
31/3/2034
30/4/2034
29/5/2034
28/6/2034
27/7/2034
26/8/2034
25/9/2034
24/10/2034
23/11/2034
22/12/2034
30/5/2035
29/6/2035
28/7/2035
27/8/2035
26/9/2035
25/10/2035
24/11/2035
23/12/2035
31/5/2036
30/6/2036
29/7/2036
28/8/2036
27/9/2036
26/10/2036
25/11/2036
24/12/2036
30/7/2037
29/8/2037
28/9/2037
27/10/2037
26/11/2037
25/12/2037
31/7/2038
30/8/2038
29/9/2038
28/10/2038
27/11/2038
26/12/2038
31/8/2039
30/9/2039
29/10/2039
28/11/2039
27/12/2039
30/10/2040
29/11/2040
28/12/2040
31/10/2041
30/11/2041
29/12/2041
30/12/2042
31/12/2043 is the last day
365 is the total count of such days.

answer Jan 21, 2018 by Tejas Naik



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