You Have Eight Marbles And A Two Pan Balance

For convenience sake let s name the balls 1 8.

You have eight marbles and a two pan balance.

All of the marbles weigh the same except for one which is heavier than all of the others. All of the marbles weigh the same except for one which is heavier than all of the others. You have eight marbles and a two pan balance. One of them is heavier than the rest of the 7 all the others weigh exactly the same.

You may make no assumptions about how much heavier the heavy marble is. Microsoft suppose you have 11 marbles and a two pan balance used to compare the weight of 2 things. Divider scroll down for the solution. Each marble weighs 2 0 grams except for one which is slightly heavier at 2 05 grams.

These differ from puzzles that assign weights to items in that only the relative mass of these items is relevant. All of the marbles look the same. Suppose you have 8 marbles and a two pan balance used to compare the weight of 2 things. Find the heavier ball.

You a provided with a simple mechanical balance and you are restricted to only 2 uses. A balance puzzle or weighing puzzle is a logic puzzle about balancing items often coins to determine which holds a different value by using balance scales a limited number of times. Suppose you have 8 marbles and a two pan balance used to compare the weight of 2 things. All of the marbles weigh the same except for one which is heavier than all of the others.

How would you find the heaviest marble if you are only allowed to weigh the marbles 2 times using the balance scale. Let s say you have 8 marbles and a two pan balance. Instead you have to compare one of them l say with an ordinary marble like a just as was done in the case of 12 marbles. How would you find the heaviest marble if you are only allowed to weigh the marbles 2 times.

If you have only one balance available sketch the results of the first pan balance situation on the board before setting up the second balance. All the marbles weigh the same except for one which is heavier than all the others. The marbles are otherwise indistinguishable. Comparing these two in the last weighing would thus not tell which one is special since it could be either the lighter or the heavier one.

Set up the second pan balance. With 13 marbles however neither l nor m have been on the balance yet. Add paper clips to the other pan one at a time counting as you go until the pans balance. What is the minimum number of weighings needed to be certain of identifying the heavy marble.

You are given 8 identical looking balls.