You Have Eight Marbles And A Two Pan Balance

The marbles are otherwise indistinguishable.

You have eight marbles and a two pan balance.

Software development engineering interview seattle wa. All of the marbles look the same. With 13 marbles however neither l nor m have been on the balance yet. All of the marbles weigh the same except for one which is heavier than all of the others.

For convenience sake let s name the balls 1 8. Microsoft suppose you have 11 marbles and a two pan balance used to compare the weight of 2 things. You have eight marbles and a two pan balance. Divider scroll down for the solution.

What is the minimum number of weighings needed to be certain of identifying the heavy marble. 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. One of them is heavier than the rest of the 7 all the others weigh exactly the same. Suppose you have 8 marbles and a two pan balance used to compare the weight of 2 things.

First we weigh 1 2 3 on the left and. Add paper clips to the other pan one at a time counting as you go until the pans balance. All the marbles weigh the same except for one which is heavier than all the others. Let s say you have 8 marbles and a two pan balance.

Set up the second pan balance. You may make no assumptions about how much heavier the heavy marble is. How would you find the heaviest marble if you are only allowed to weigh the marbles 2 times. You a provided with a simple mechanical balance and you are restricted to only 2 uses.

Find the heavier ball. Place a protractor and ruler in one pan. 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. 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. You are given 8 identical looking balls. 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. These differ from puzzles that assign weights to items in that only the relative mass of these items is relevant.

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.