A batsman makes a score of 270 runs in the 87th inning and thus increase his average by a certain number of runs that is a whole number. Find the possible values of the new average.

Answer: Option D

Part of the runs scored in the 87^th innings will go towards increasing the average of the first 86 innings to the new average and remaining part of the runs will go towards maintaining the new average for the 87^th innings. The only constraint in this problem is that there is increase in average by a whole number of runs. This is possible for all three options.