An algebra problem by Adhiraj Mandal
Algebra
Level
3
What is the maximum possible individual score of a batsman in a game of 50 overs?
Details and Assumptions
- The maximum possible score of a batsman in a ball is 6 and he can never score 5 in any ball.
- There are 6 balls in an over.
- The batsman can face a ball only if he is at the striker's end when the ball is being bowled.
- If the batsman scores 2,4 or 6 he still remains at the striker's end.If he scores 1 or 3 then he has to move to the non-striker's end.
- If the batsman is at the striker's end at the end of an over then he has to move to the non-striker's end and can come back to the striker's end only if his fellow batsman scores 1 or 3 in that ball or his fellow batsman plays the entire over and is at the striker's end when the over ends.
1653
1500
1800
1650
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1 solution
The highest score is scored in this way.......Hit a 6 in all the first 5 balls of the over and in the last ball score 3.In this way you can score the highest possible score from an over and still be at the striker's end at the end of the over.In this way you score 33*50=1650.However you do not require to score 3 at the end of 50th over as that is the last over.Score 6 in the last ball of the 50th over, and hence the correct choice is 1653.