Maximum Runs by Batsman in One Day Cricket | Puzzle 10

Question

In a one day match of Cricket, assume that there were no wide balls, no wides, no extras and no overthrows.

Then, What is the maximum number of runs that a batsman can score in an ideal case scenario?

Solution

1653

In an ideal case, the batsman will hit a six on each ball. But if he hits six on the last ball of the over, the strike will change in the next over. 

Thus, the best he can do to retain the strike is that in the last ball he will run for 3 runs so he retains the strike even in the next over. 

Thus the total runs that he can score in each over:

6 * 5 + 3 = 33

But this will have to go like it only until the 49th over. 

In the last over, he can hit a six in the last ball as well as that will be the last ball of the match so there is no issue of maintaining the strike.

Thus runs for the last over will be 6 * 6 = 36.

Hence the maximum runs = 33 * 49 + 36 = 1653

Please share your thoughts in the comments.

To contribute articles on Puzzle Orbit, do submit your article at puzzleorbit@gmail.com