The chocolate problem
During lunch break chocolates are distributed from a basket among children,such that 1st gets 1 chocolate, 2nd gets 2 chocolates, 3rd gets 4 chocolates, 4th gets 8 chocolates, and so on.
If the last child gets 10 kilograms of chocolates and one chocolate is left. Than find the total weight of chocolates (in kilograms ) that was in the basket before distribution. (Consider that all chocolates weigh the same).
The answer is 20.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
This can be done by using the sequence or pattern. The children get chocolates as follows-
1 , 2 , 4 , 8 , 16 , 32 , ........, 10 kg
If we give the left over chocolate to the first boy than they will have chocolates as follows-
2 , 2 , 4 , 8 , 16 , 32 , ............. , 10 kg
Now, 2+2=4 , 2+2+4=8 , 2+2+4+8=16 , ....
So, total weight of chocolates =10 kg + 10 kg = 20 kg (ANSWER)