9 Ball Weight Question
Now try to solve this on your own solution of 9 balls puzzle the optimal solution for 9 balls puzzle is three weighing s solutions are as follows three weighing s.
9 ball weight question. Interview question for analyst in london england puzzle 9 balls identical in appearance. If they balance then 9 10 11 12 have the odd ball so weigh 6 7 8 vs 9 10 11 with 3 possible outcomes. If 9 10 11 is heavy then they contain a heavy ball. Identify this heavier ball by using a scale twice.
If a1 a2 means all balls is group a are even. Else 9th ball is heavy as a was heavier than b. 8 are of same weight. Weigh it against any other ball to determine if heavy or light.
And ball in group b is of less weight. Weigh 2 sets of 4 balls against each other using a double pan balance and if you re lucky it will weigh evenly allowing identification of the not weighed 9th ball as the odd ball. Now choose 2 balls from this group and compare their weights and using the same logic as before the heavier ball will be obvious. This 9 balls puzzle problem is very similar to 8 balls weight puzzle where 8 identical looking balls are given and one of the balls is heavier than rest of the 7 balls.
The problem here is that you don t actually need to weigh a ball to get information about it. This will find you the heavier ball but it isn t the most efficient approach. If 6 7 8 vs 9 10 11 balances 12 is the odd ball. You have 9 balls that look identical but 1 is heavier than the rest.
You are given 8 identical looking balls. Stop further if we have to really identify defective ball we have divide 9 balls into a 3 b 3 and c 3 and this method is already explained above. Find the heavier ball. If the question to identify the odd ball heavy or light out of 9 balls is read literally then the answer is 1 weighing under the most luckiest of circumstances.
Sachin magdum july 11 2010 flag reply. The actual answer is. One of them is heavier than the rest of the 7 all the others weigh exactly the same. First we weigh 1 2 3 on the left and.
The heavier group should then be obvious it will either tip the scales or if the scales stay balanced then it is the group you didn t include. You a provided with a simple mechanical balance and you are restricted to only 2 uses.