Qn from SMOPS 2010

Someone posted the following question from SMOPS 2010 in the cbox:

s=1/((1/2001)+(1/2002)+(1/2003)+(1/2004)+(1/2005)+(1/2006)+(1/2007)+(1/2008)+(1/2009)+(1/2010)). Find the largest whole number smaller than s.

Soln:
Clearly, 10/2001 > (1/2001)+(1/2002)+(1/2003)+(1/2004)+(1/2005)+(1/2006)+(1/2007)+(1/2008)+(1/2009)+(1/2010) > 10/2010
Hence 2001/10 < s < 2010/10
Therefore the largest whole number smaller than s is 200.