There are 27 balls with one ball of heavier weight than the other balls. wats the minimum number of weighs that can be made to determine the heavier ball
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Answered by
5
3.
1. First one will pick one of three groups of 9
randomly divide the 27 into 3 groups of 9, place two on the scale, one on each side. If one is heavier, then the X is in that group of 9. If they are equal weight, X is in the third group.
2. Second will pick one of three groups of 3
Of the 9, divide the 9 into 3 groups of 3, place two on the scale, one on each side. If one is heavier, then the X is in that group of 3. If they are equal weight, X is in the third group.
3. Third will pick one of the remaining 3
Of the three place two on the scale, one on each side. If one is heavier, then that is X. If they are equal weight, X is in the third piece.
1. First one will pick one of three groups of 9
randomly divide the 27 into 3 groups of 9, place two on the scale, one on each side. If one is heavier, then the X is in that group of 9. If they are equal weight, X is in the third group.
2. Second will pick one of three groups of 3
Of the 9, divide the 9 into 3 groups of 3, place two on the scale, one on each side. If one is heavier, then the X is in that group of 3. If they are equal weight, X is in the third group.
3. Third will pick one of the remaining 3
Of the three place two on the scale, one on each side. If one is heavier, then that is X. If they are equal weight, X is in the third piece.
Answered by
4
minimum 3 times
we can do it by making groups and then weighing them
let firstly we make three groups a b c
each containing 9 balls
so we will weigh any two groups if one of them is heavy than that group contains our ball otherwise the third group contains our all
now we have 9 balls
we will again make 3 groups each containing 3 balls similarly we will weigh them and we will find the group with heavier ball
now we havw weighed 2 times
at last we are left with 3 balls
now will weigh any 2 balls the heavier one is our ball if both are equal than 3rd ball is our ball
we can do it by making groups and then weighing them
let firstly we make three groups a b c
each containing 9 balls
so we will weigh any two groups if one of them is heavy than that group contains our ball otherwise the third group contains our all
now we have 9 balls
we will again make 3 groups each containing 3 balls similarly we will weigh them and we will find the group with heavier ball
now we havw weighed 2 times
at last we are left with 3 balls
now will weigh any 2 balls the heavier one is our ball if both are equal than 3rd ball is our ball
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