9 Identical Coins Puzzle

Compare 1 and 12 to find out if 12 is lighter or heavier. Outcome 11 even balance coin 12 is false.

Http Math Hws Edu Eck Math110 S14 9coins Pdf

Otherwise weigh set1 against set3.

9 identical coins puzzle. They all look absolutely identical but one of the coins is fake. There are 9 coins all except one are the same weight the odd one is heavier than the rest. In this case you know that the different coin is 9 10 or 11 and that that coin is heavy.

Answer to Riddle 65. NINE GOLD COINS This one is a little more difficult because you are not told if the object is heavier or lighter. 9 Balls Puzzle -You have given a two-arm balance scale and 9 identical looking balls.

You may use the balance twice. Now put 9 10 and 11 on the left and 1 2 and 3 on the right side. What if the first weighing 1234 vs 5678 does not balance.

If theyre equal the heavy coin is in the remaining three. Because we know as fact that one coin must be heavy it would be sufficient to eliminate coins 1 - 8 in order to prove that it is number nine. If in both cases they do not weigh equal then set1 contains odd coin.

Consider the case of 9 coins with one heavier than the rest. A short summary of this paper. The solution in the book follows the given example 1c.

9 Coins 1 Odd one 2 Weighings. The optimal solution here is two weighings. The four rules - x power and are usable.

Given a two pan fair balance and N identically looking coins out of which only one coin is lighter or heavier. 11 Full PDFs related to this paper. Puzzle 1 How to Measure 45 minutes using two identical wires Puzzle 2 Find ages of daughters Puzzle 9 Find the fastest 3 horses Puzzle 3 Calculate total distance travelled by bee Puzzle 5 Finding the Injection for Anesthesia Puzzle 4 Pay an employee using a gold rod of 7 units Puzzle 7 3 Bulbs and 3 Switches.

However you know that the fake coin is lighter than the rest and in front of you is a balance scale. There are 9 coins. Download Full PDF Package.

What is the least number of weightings you can use to find the counterfeit coin. Divide the 9 balls into sets of 3 each. They all look absolutely identical but one of the coins is fake.

If they weigh equal then set3 contains odd coin. However you know that the fake coin is lighter than the rest and in front of you is a balance scale. One of the ball is of different weightheavierlighter than rest of the 8 balls which all are of equal weight.

I am providing description of both the puzzles below try to solve on your own assume N 8. Here are some variants of this puzzle. Koshi Arai -- Make a numeric formula whose answer is2001 using the 9 digits from 1 to 9 in that order.

There are the two different variants of the puzzle given below. In front of you there are 9 coins. If however the two sides are not equal then that remaining coin is a real coin and the fake is in one side or the other of the scale.

Satan has disguised the son to look identical to eleven other demons and he is heavier or lighter depending on whether he is cursed to lie or able to speak truthfully. 2001 1 x 23 x 4 5 - 6 - 7 x 8 9. First set 3 coins on the left and 3 on the right.

Put 1234 on the left scale 5678 on the right. If not the heavier one is the heavy coin. Weigh set1 and set2 against each other.

All 9 coins look exactly the same but one coin is a fake and is either lighter or heavier than the other 8 coins. That having been said a good initial weighing would be 12 3. What is the least number of weightings you can use to find the counterfeit coin.

Clue to Riddle 65. Then any one of these coins could be the different coin. 2Find lighter fake coin from a set of 12 identical coins.

9 Coins 1 Odd one 2 Weighings. If theyre not equal the heavy coin is on the heavier side. Its always difficult to give clues to the quickie puzzles.

Niobe the protagonist of Piers Anthonys novel With a Tangled Skein must solve the twelve-coin variation of this puzzle to find her son in Hell. Let us solve the classic fake coin puzzle using decision trees. They all look absolutely identical but one of the coins is fakeThe fake coin is lighter than the restThere is a balance scale.

Simply weigh 9 against 10. If they balance 11 is the heavy coin. Even balance one of the last 4 coins is false.

You must determine which is the odd one out using an old fashioned balance. Proceed as in the step above but the coin youre looking for is the light one. If the two sides are equal then the remaining coin is the fake.

In front of you there are 9 coins. Take any 8 of the 9 coins and load the scale up with four coins on either side. 1Minimum number of weighing required to find the fake coin when it is not known whether the fake coin is heavier or lighter.

Fake Coin Brain Teaser. You must determine which of the 9 marbles is the heavier one using the balance only 2 times. You have 9 gold coins.

Weigh two of the coins in the heavy set of three coins. 3 91011 is light. But I would say this.

Incidentally 133 - 142 2001. One of the ball is of different weightheavierlighter than rest of the 8 balls which all are of equal weight. That was the easy part.

Let them be set1 set2 and set3. If they weigh equal set2 contains odd coin.

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