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?
Answers were Sorted based on User's Feedback
Answer / guest
Divide 9 marbles into 3 groups of 3 marbles each.
Take any 2 groups and place them on each pan. If they
balance, remove the marbles from the pans, & place any 2 of
the marbles from the remaining unweighed group on the pans,
1 on each pan.
If one is heavier, it is the heavier marble, but if they
balance, the remaining unweighed marble is the heavier one.
If your first weighing does not balance, remove the marbles
from the lighter pan, & place 1 marble on each pan from the
heavier pan. The heavier 1 is the 1.5 ounce marble, but if
they balance, then the marble from the heavy pan from the
first weighing that was not weighed in the second weighing
is the heavy 1.
| Is This Answer Correct ? | 62 Yes | 5 No |
Answer / my name
Divide the 9 marbles into 3 groups: G1, G2, and G3. Weigh G1 with G2. If they balance, then the 1.5 ounce marble is in G3. Otherwise, the 1.5 ounce marble is in the heavier of G1 and G2.
Call the group that definitely contains the 1.5 ounce marble GS. Put one marble from GS in each pan. If they balance, the 1.5 is the member of GS not on a pan. Otherwise, it is the one in the pan on the heavier side.
| Is This Answer Correct ? | 20 Yes | 2 No |
Answer / 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 |
Answer / dheeraj kumar
divide nine marbles into three groups, take any two group and
weight..
condition of scale will be ..
if both pans are same level then the heavy marble will be in
group that you left..
if not in same level then the heavier marble will be in group
in pan which has level down..
apply same procedure on the heavy group..
put two marbles on weighing scale, if both are on same level,
then left one is heavy marble, otherwise heavy one is the
marble which is on pan with level below than another...
| Is This Answer Correct ? | 4 Yes | 3 No |
Answer / hb
I will take 2 marbles on each pan, next time 2 marbles on
each pan. Now answer is
- If all the 8 marbles are weighed same, the heaviest
marble will be the one which is left.
- If in any of the two weighings,the heaviest marble is
will be on the pan which weighs more.
| Is This Answer Correct ? | 3 Yes | 7 No |
100 Gold Coins Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain). The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side. If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain. What is the maximum number of coins the captain can keep without risking his life?
Difference between Bholu's and Molu's age is 2 years and the difference between Molu's and Kolu's age is 5 years. What is the maximum possible value of the sum of the difference in their ages, taken two at a time?
There are 8 coins in a bag . 3 coin weights x kg 3 coins weights y kg 2 coins weights z kg 2 coins weights w kg You have to separate them into separate heaps according to their weights .
two father and two son went to a hotel, each paid rs-5 but still total amount was rs-15, how?
There were N stations on a railroad. After adding X stations 46 additional tickets have to be printed. Find N and X.
1/3 rd of the contents of a container evaporated on the 1st day. 3/4th of the remaining contents of the container evaporated on the second day. What part of the contents of the container is left at the end of the second day?
|3\3 9/9| ! 3["9"" ["39"" | \9/ | ¡ "9""]3 ""9"] YOU "" "" understand this Mssg!! Send
5 Answers Olive Builders, Satyam,
Jim lies a lot. He tells the truth on only one day in a week. One day he said: "I lie on Mondays and Tuesdays." The next day he said: "Today is either Sunday, Saturday or Thursday." The next day he said: "I lie on Fridays and Wednesdays." On which day of the week does Jim tell the truth?
Yesterday in a party, I asked Mr. Shah his birthday. With a mischievous glint in his eyes he replied. "The day before yesterday I was 83 years old and next year I will be 86." Can you figure out what is the Date of Birth of Mr. Shah? Assume that the current year is 2000.
A man has Ten Horses and nine stables as shown here. [] [] [] [] [] [] [] [] [] The man wants to fit Ten Horses into nine stables. How can he fit Ten horses into nine stables?
if 8men works 8hrs per day for 8days get rs.45,then how many men required if the work is 5hrs per day for 10days they get rs.60?(want solution with steps)
Sam and Mala have a conversation. ? Sam says I am certainly not over 40 ? Mala says I am 38 and you are atleast 5 years older than me ? Now Sam says you are atleast 39 All the statements by the two are false. How old are they really?