Answer:
2013
Step-by-step explanation:
Given that the year 2004 if split after the third digit into a three-digit integer and a one-digit integer, then the two integers, 200 and 4,
200 and 4 have a common factor 4.
Similarly for year 2005, we have 200 and 5 have a common factor 5
and 2006, 200 and 6 have a common factor 2.
Next odd numbers would be
2007, 2009, 2011, 2015 and so on.
If we split we get 200, 7 or 200, 9, only which do not have this property
Next would be 201, 1 or 201, 3....
201 and 3 have common factor 3
So 2013 is the first odd numbered year after 2006 which has this property
