A toy company is preparing 1024 gift boxes for Christmas party. Each box is of same
shape size and weight and contains similar type, shape and weight of pair of skates in it .
While packing a worker by mistake leaves a cricket ball inside one of the box. At the time of
delivery manager came to know about the ball. Suggest way by which manager can find
out about the box with a ball in lowest time?
Answers
Answer:
Step-by-step explanation:
Given: A toy company is preparing 1024 gift boxes for Christmas party. Each box is of same
shape size and weight and contains similar type, shape and weight of pair of skates in it .
While packing a worker by mistake leaves a cricket ball inside one of the box. At the time of
delivery manager came to know about the ball. Suggest way by which manager can find
out about the box with a ball in lowest time?
The delivery manager can make into two separate 512 boxes each. Now there are 512 boxes and he has to weigh them . The box which has the ball will weigh more.
Again this time repeat this by taking 206 boxes on each side of weighing machine, it will be left with 206 boxes.
Similarly he can go on and next will be 103 boxes. After this one box can be kept aside and can be taken as 51 boxes.
Now again he can weigh 25 boxes keeping one ball aside. Finally he will be left with 12, 6 and 3 boxes. Now he can easily find out the ball inside the box when 3 boxes are remaining. Now that he needs to weigh any two of them and when both boxes are equal, the third box will contain the cricket ball.