Why to solve a puzzle?
If you have reached this page, it means you like solving puzzles. I assure you that the new posts on problems to be solved will become more interesting and complex to match your flair. That extra thing will be required to think beyond traditional approach of solving the mathematics, science, logical and other reasoning problems.
I hope you will be able to answer it well. Please do solve it and share your answer in the comments section.
The Modified Puzzle
You are given 9 identical bags of balls. Each bag contains 9 balls. Each ball has same weight say 500 gms, except all the balls in one such bag that are lighter i.e. 490 gms. Your job is to find the bag that contains the light weighted balls. You have a two plate balance to weight. You have the weights available for weighing.
You are given 9 identical bags of balls. Each bag contains 9 balls. Each ball has same weight say 500 gms, except all the balls in one such bag that are lighter i.e. 490 gms. Your job is to find the bag that contains the light weighted balls. You have a two plate balance to weight. You have the weights available for weighing.
How will you identify the bag that contains lighter balls if you can weight once only.
Do you dare to try? Good Luck !
Let's name bags: Bag 1 to Bag 9.
ReplyDeleteI will take 1 ball from Bag 1, 2 balls from bag 2.... 9 balls from bag 9.
Now i will weight them. Now the logic behind finding the defective bag is that defective ball(s) have weight 490 gms instead of 500 gms.
So, if their total weight is 10gm less than expected weight then it means Bag 1 is the defective bag, if 40 gms less than expected weight than Bag 4 is defective. So, i can find the defective bag easily this way.
This is correct.
DeleteKudos
Take 1 ball from 1 bag
ReplyDeleteTake 2 ball from 2 bag
So on
Take 9 ball from 9 bag
Total balls= 45
Total wieght should be =500gm×45=22,500 gm (if all are same)
But one bag contain less wieghted ball so total wieght should be less
Suppose total wiegt comes 22450gm which is 50gm less , so 50gm÷10{less weight of 1 light weigted ball) =5 balls so bag 5 contains the defective ball
Correct hai.
ReplyDeleteCongratulations