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You have 9 marbles. 8 marbles weigh 1 ounce each, & one
marble weighs 1.5 ounces. You are unable to determine which
is the heavier marble by looking at them. You have a
weighing scale that consists of 2 pans, but the scale is
only good for 2 total weighings.
How can you determine which marble is the heaviest one using
the scale & in 2 weighings?
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Answer Posted / siddarth chordia
The answer should be arrived in 2 weighings only with worst case scenarios to be considered...
So let us take 3 marbles in each pan
Step 1: If it weighs the same the heavier marble is in the other 3 marbles. else if it differs the heavier side in the balance has the heaver marbles.
Now we have 3 marbles to identify which is the heavier one...
Step 2: From the remaining 3 marbles, keep 1 marble in each pan. If it weighs the same, then the remaining one is the heavier, else which ever side on the balance weighs heavier then that is heavier.
Hope I hit the point of your question with only 2 weighings, to find the answer :)
| Is This Answer Correct ? | 6 Yes | 1 No |
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