Marble weight riddle
There are 10 bags, filled with marbles. The number of marbles in each bag differs, but all bags contain ten marbles or more. Nine of the ten bags only contain marbles of 10 grams each. One bag only contains marbles of 9 grams. In addition, you have a balance which can weigh in grams accurate, and you are allowed to use it only once (i.e. weigh a single time).
How can you find out in one weighing, which bag contains the marbles of 9 grams?
First of all..
Let us assume that all 10 bags contain marbles weighing 10gms each..
so if you take 1 marble from the first bag
2 marbles from the second bag
3 marbles from the third bag
.
.
.
10 marbles from the tenth bag
The total weight when measured will be (10+20+30+40+…..100)= 550gms
BUT ,
one of the bag contains marbles which are 9gms each……
so in case if it was from the first bag ,when you weigh = ( 9+20+30+….100)=549gms
if it was from the second bag, (10+18+30+40+….100)=548gms
if it was from the third bag, (10+20+27+40+…..100)=547gms
.
.
.
similarly you can find which is the defective one by weighing only once.
Your Answer
More puzzles to try-
No voice, but it still cries riddle
No voice, but it still cries. No wings, but it still flutters. No teeth, but it still bites. No mouth, ...Read More »You look directly at the intersection, the grey dots will disappear.
mall grey dots should appear at the intersections of the squares, but if you look directly at the intersection, the ...Read More »Make Four Square
Can you move 2 matchsticks to form four equal sized squares.Read More »Spot the wrong in Image
Spot whats is wrong here in the below Image?Read More »SSC Exam 2012- Which number replaces the question mark?
Which number replaces the question mark?Read More »GREAT STRATEGY CAN ONLY SAVE LIFE
Three cannibals and three anthropologists have to cross a river. The boat they have is only big enough for two ...Read More »The Man in the Elevator
A man lives on the tenth floor of a building. Every day he takes the elevator to go down to ...Read More »Black sheep eat less than white sheep
Why do black sheep eat less than white sheep?Read More »Wild of Mexico
While exploring the wilds of Mexico, John was captured by hostile wood fairies. Jacob, the powerful chief of the fairies ...Read More »Complete the Series
B C D E __ I K __ X The puzzle might look like a simple one. Give it a ...Read More »Placing coins on a table
Two players are playing a game. The game board is a circular table. The players have access to an ample ...Read More »Shootout in Toilet
John was so frustrated to be the suspect of being a sleeper terrorist that he shoot himself right between the ...Read More »Akbar Birbal and well water puzzle
A farmer and his neighbor once went to Emperor Akbar’s court with a complaint. “Your Majesty, I bought a well ...Read More »Practising without getting tired
A man goes down to the beach and starts walking on the beach, he has to get to the circus ...Read More »Vessel with water and syrup
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the ...Read More »Count The Number Of Lines
Can you count the number of lines in the below picture?Read More »Lighter than Air
Lighter than air, I float away, with one mans touch I shall decay. What am I?Read More »Marbles in bottle puzzle
You have 10 identical bottles of identical marble. Each bottle contain hundred of marbles. Out of 10 bottles 09 have ...Read More »Fill The Grid
You are provided with a grid (as shown in the picture). Can you fill the squares with numbers 1-8 in ...Read More »Red and Blue marbles interview puzzle
You have two jars, 50 red marbles, 50 blue marbles. you need to place al the marbles into the jars ...Read More »