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there are 5 boxes each of which contains coins. all the
boxes except one box contains coins whose weight is 100
grams.(each coin weight is 100gm). only one box contains
coins tat weigh 90gm each. u r given a digital balance. in
how many trys can u find out which box contains 90gm coins?

Answer Posted / paul

If the weighing tool is a digital measurement (not a balance instrument). My answer is 1 try.

My solution:

First you must collect the necessary balls from each box in an order like this:

collect 1 ball from box 1
collect 2 balls from box 2
collect 3 balls from box 3
collect 4 balls from box 4 &
collect 5 balls from box 5

Total balls you have collected is 15 balls.

To determine which box contains the 90 grm balls, you must
weigh all the 15 balls in the digital measurement. If the
result of measurement is:

5*90 + 100*10 then the answer is the 5th box
4*90 + 100*11 then the answer is the 4th box
3*90 + 100*12 then the answer is the 3rd box
2*90 + 100*13 then the answer is the 2nd box
1*90 + 100*14 then the answer is the 1st box

Is This Answer Correct ?    11 Yes 3 No



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