You have 12 pills and they all got the same weight,except for one,which hasn't got the same weight.You don't know if it is heavier or easier.You have one scale to weight the pills. Find out,which pill is the right with least no. of weights?

Question

Accepted Answer

To find the odd pill with the least number of weighings, you can use the "divide and conquer" strategy. Follow these steps:

1. Divide the 12 pills into three groups of 4 pills each (Group A, Group B, and Group C).

2. Weigh Group A against Group B on the scale:

- If they balance, then the odd pill is in Group C.

- If they don't balance, move to Step 3.

3. Take the heavier group (let's say Group B) and divide it into two groups of 2 pills each (Group B1 and Group B2).

4. Weigh Group B1 against Group B2 on the scale:

- If they balance, the odd pill is one of the remaining two pills in Group B (not on the scale).

- If they don't balance, move to Step 5.

5. Take the heavier group (let's say Group B1) and select any two pills from that group.

6. Weigh those two pills against each other on the scale:

- If they balance, the odd pill is the remaining pill in Group B1 (not on the scale).

- If one of them is heavier, that's the odd pill.

Through this strategy, you will always find the odd pill with the least number of weighings:

- If the odd pill is in the first weighing (between Group A and Group B), you find it in just two weighings.

- If the odd pill is in the second weighing (between Group B1 and Group B2), you find it in three weighings.

- If the odd pill is in the third weighing (between the two selected pills from Group B1), you find it in four weighings.

So, with a maximum of four weighings, you will always find the odd pill.

Accepted Answer

having 12 pills

don't no the weight it's heavier or easier.

find it

first of all

form a group of 3

and weight two groups

next find the group which have different pill

and then divide the different group of pills equally

and weight them to find the last two of us is different

them rest of us to find the final pill. the last 2 pill are

remain to weight and weight both of them to find the difference.

Accepted Answer

You have 12 pills and they all got the same weight,except for one,which hasn't got the same weight.You don't know if it is heavier or easier.You have one scale to weight the pills. Find out,which pill is the right with least no. of weights?

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