The annual growth rate in the GNP series at factor cost was highest between;

Let us check the options one by one.

Option (A): The annual growth rate in the GNP series at factor cost between 2008-09 and 2009-10 = $$\dfrac{6095230-5249463}{5249463}\times 100$$ = 16.11 percent. 

Option (B): The annual growth rate in the GNP series at factor cost between 2006-07 and 2007-08 = $$\dfrac{4560910-3919007}{3919007}\times 100$$ = 16.38 percent. 

Option (C): The annual growth rate in the GNP series at factor cost between 2007-08 and 2008-09 = $$\dfrac{5249463-4560910}{4560910}\times 100$$ = 15.09 percent. 

Option (D): The annual growth rate in the GNP series at factor cost between 2005-06 and 2006-07 =$$\dfrac{3919007-3363505}{3363505}\times 100$$ = 16.52 percent. 

We can see that the value is the highest between 2005-06 and 2006-07. Hence, option D is the correct answer.