Latest Infosys Aptitude Question SOLUTION: There are 5 burglars and once went to a bakery to rob it obviously. The first guy ate 1/2 of the total bread and 1/2 of the bread. The second guy ate 1/2 of the remaining and 1/2 o

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There are 5 burglars and once went to a bakery to rob it obviously. The first guy ate 1/2 of the total bread and 1/2 of the bread. The second guy ate 1/2 of the remaining and 1/2 of the bread. The third guy ,fourth guy and fifth guy did the same. After fifth guy there is no bread left out. How many bread are there?

Solution

(1/2 + 1/2) = 1
2(1 + 1/2) = 3
2(3 + 1/2) = 7
2(7 + 1/2) = 15
2(15 + 1/2) = 31

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Asked In Infosys (14 years ago)

Solved Sanal Jose Read Solution (5)

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Read Solution (5) :

srashti goel  (9 years ago)

First we create a general rule for amount of bread left when each burglar leaves
Lets assume we have x no of bread
At every step x/2 + 1/2 bread is eaten by the burglar
Therefore after each step compared to previous step we have [x-(x/2 + 1/2)] = x/2 - 1/2 bread left.

Now let us go to the problem
Now after 5th burglar leaves we have 0 bread left
Hence number of bread after 4th burglar leaves (or before 5th burglar enters) is calculated by
x/2 - 1/2 = 0
Therefore x = 1

Similarly after 4th burglar leaves we have 1 bread left
Hence number of bread after 3th burglar leaves (or before 4th burglar enters) is calculated by
x/2 - 1/2 = 1
Therefore x = 3

Similarly after 3rd burglar leaves we have 3 bread left
Hence number of bread after 2nd burglar leaves (or before 3rd burglar enters) is calculated by
x/2 - 1/2 = 3
Therefore x = 7

Similarly after 2nd burglar leaves we have 7 bread left
Hence number of bread after 1st burglar leaves (or before 2nd burglar enters) is calculated by
x/2 - 1/2 = 7
Therefore x = 15

Similarly after 1st burglar leaves we have 15 bread left
Hence number of bread before 1st burglar enters is calculated by
x/2 - 1/2 = 15
Therefore x = 31·····························Ans

Is this solution Helpfull? Yes (4) | No   

Tijo Jose  (14 years ago)

31

Is this solution Helpfull? Yes (1) | No (1)  

Sanal Jose  (14 years ago)

31

Is this solution Helpfull? Yes (1) | No (1)  

susmit  (14 years ago)

31

Is this solution Helpfull? Yes | No (2)  

Sourav Gupta  (6 years ago)

(1/2 + 1/2) = 1
2(1 + 1/2) = 3
2(3 + 1/2) = 7
2(7 + 1/2) = 15
2(15 + 1/2) = 31

Is this solution Helpfull? Yes | No   

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