# Maximum run in cricket puzzle

In a * one day cricket match*,

There were no wide balls, no wides, no extras and no overthrows.

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

The answer is 1653 runs.

Explanation:

For an ideal case scenario, the (opening) batsman will hit a six on each ball. But if he hits a six on the last ball of the over, the strike will no longer remain with him in the next over. Thus, the best thing he can do on the last ball is to run 3 runs so that he retains the strike with him even in the next over(s). Thus the total runs that he can score in each over:

(6 * 5) + 3 = 33 runs.

But this will have to continue like above only till the 49th over; this is the actual twist, as in the last over, he can hit a six on the last ball as well because that will be the last ball of the match (and there is no purpose of giving the strike to the other batsman before the over ends).

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

Therefore, the maximum runs will be (33 * 49) + 36 = 1653 runs. (Theoretically)

The answer is actually infinite.

This is because there is no limitation to the maximum number of runs scored in a single ball. A batsman can run for how much ever he could. Even if there were no overthrows, he might be capable of running 4 runs or even 5(think of him as Usain Bolt…), or the fielder may be too slow to run after the ball and retrieve it in time.

We can never be sure how much runs he could score. According to theory, like NitinGurbani has said, it is 1653 runs. But we can’t be exactly sure.

Assuming a 50-over match, the maximum number of deliveries a batsman can face is 49 * 5 + 6 = 251 (i.e., a batsman coming in as opener facing first ball of the innings can face all 6 balls of the first over and all except first ball of the remaining overs because strike will have to be rotated at end of over.) And theoretically, he can score a six off every fall he faces. (that’s 1506 runs, much more than the max. total number of runs ever scored in a one-day match…!)

Can he score 3 when he rotates strike?

Yes. You’re right. I missed that possibility. 🙁

### Your Answer

## More puzzles to try-

### What is the logic behind these ?

3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »### Which letter replaces the question mark

Which letter replaces the question markRead More »### 2 Eggs and 100 floor Google Classic question

There is a building of 100 floors -If an egg drops from the Nth floor or above it will break. ...Read More »### Five greedy pirates and gold coin distribution Puzzle

Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »### Defective stack of coins puzzle

There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »### Dr. Willam and surgical gloves puzzle

Dr.Willam wants to operate for three different persons who were wounded. But he had only two surgical gloves. There is ...Read More »### Which clock works best?

Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »### To which one will the needle touch 1 OR 2

In the gear arrangement, To which one will the needle touch, 1 OR 2Read More »### How did he know?

A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »### Which room is safest puzzle

A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »### Crossing the Bridge Puzzle (Bridge and torch problem)

A bridge will collapse in 17 minutes. 4 people want to cross it before it will collapse. It is a ...Read More »### Probability of having boy

In a country where everyone wants a boy, each family continues having babies till they have a boy. After some ...Read More »### Magical flowers!!

A devotee goes to three temples, temple1, temple2 and temple3 one after the other. In front of each temple, there ...Read More »### How many times a day do all three hands of analog watch overlaps?

There is a perfectly accurate analog watch with hour, minute, and second hands. How many times a day do all three ...Read More »### Tuesday, Thursday what are other two days staring with T?

Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »### How could only 3 apples left

Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »### How Many Eggs ?

A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »### Minimum number of persons needed to cross a Desert

In the middle of the confounded desert, there is the lost city of “Ash”. To reach it, you will have ...Read More »### Lateral thinking sequence Puzzle

Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »### Pizza Cost Math Brain Teaser

Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »