# 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?

Detective Expert Asked on 18th December 2015 in

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…!)

Viji_Pinarayi Expert Answered on 18th December 2015.

Can he score 3 when he rotates strike?

on 20th December 2015.

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

on 22nd December 2015.

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)

NitinGurbani Genius Answered on 21st December 2015.

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.

Turmoil Guru Answered on 7th April 2016.

• ## More puzzles to try-

• ### Stamp buying riddle

Yesterday John’s mother asked him to buy some stamps. Stamps, in the land of Puzzlefry, are available in 3p, 9p, ...Read More »
• ### One Quarter riddle

What number is one half of one third of one quarter of 360?Read More »
• ### Throwing in the sea puzzle

If you drop a yellow hat in the Red Sea, What does it become?Read More »
• ### Boy Girl party Graph

At a party there were 7 boys and 6 girls. Every boy danced with every girl. Draw the graph representing ...Read More »
• ### father and son question

if  there are 1 son 1 father and 1 grandfather how many sons are thereRead More »
• ### A game of 2014 cards

There is a table with a row of 2014 cards.  Each card has a red side and a blue side.  ...Read More »
• ### Theft on Japanese ship puzzle

A Japanese ship is on a mission toward United States. Just before the destination, the captain decides to take a ...Read More »
• ### Right triangle with a 23

Find two positive integers that together with 23 are the lengths of a right triangle. Hint: There’s a simple technique that, ...Read More »
• ### Man in the temple

One person has some money in his pocket, He visits four temple on the way. As soon as he enters ...Read More »
• ### A object having Black red and gray colour riddle

What is black when you buy it, red when you use it, and gray when you throw it away?Read More »
• ### Where is the missing pound?

Three men walk into a hotel and rent a room for 30 pounds. But the hotel manager realized the room ...Read More »
• ### Guess my name

I have keys that open no locks, I have space, but there is no room, You can enter, but you ...Read More »

• ### Peacefully rest, on a tree or the floor, In certain countries, I’m left at the door, If you’ve never seen me, you’re poor or you’re blind, The very best of me, come from a behind. What am I?

Peacefully rest, on a tree or the floor, In certain countries, I’m left at the door, If you’ve never seen ...Read More »
• ### THE FLETCHER’S PARADOX

Imagine a fletcher (i.e. an arrow-maker) has fired one of his arrows into the air. For the arrow to be ...Read More »
• ### Business Man Puzzle

A business man pushes his car to a hotel and tells its owner that he is bankrupt. Why?Read More »
• ### Temple and River Riddle

somewhere in the wonder land there are sequence of 7 Temples separated by 7 rivers, Sequence is Temple, River, Temple, ...Read More »
• ### Lunch time riddle

When is the best time to take lunch ?Read More »
• ### How many cats do you think there were?

A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number ...Read More »
• ### HARD MATHS – How much faster is one train from other Puzzle

Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination ...Read More »