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Break Room
Brain Teaser Answers
By Chip McDaniel, AutomationDirect
1.) Zig or Zag
Starting in the lower left corner consider how many ways there are to get to each vertex, and label that vertex with the number of possibilities. Work your way up and to the right, adding the number of possibilities from the connecting vertices as you move through the entire matrix. As shown below, the final number of possibilities to reach the upper right corner (at the charging station) is 321 routes.
2.) Dividing Fluid
Start with 24 liters in the original container – use it to fill the 11 and the 5 liter buckets, leaving exactly 8 liters in the original. Empty the full 11 liter bucket into the 13 liter bucket. From the full 5 liter bucket, finish filling the 13 (which takes 2 liters, and pour the remaining 3 liters into the 11 liter bucket. Then fill the 5 liter from the 13 liter bucket – leaving exactly
8 liters in the 13 liter bucket, then pour the full 5
liter bucket into the 11 liter (contains 3 liters prior to this pour) to make 8 liters in the 11 liter bucket. The quantities in the containers after each pour are shown below.
Container Size: Start
1st pour
2nd pour
3rd pour 4th pour 5th pour
3.) Diagon Allie
24 13 24 0 8 0
8 11 8 13 8 8 8 8
11 5 00 11 5 05 30 35 80
A path with 17 legs is shown
variations, and mirror image solutions. Can you do it with fewer segments? Drop us a line at marketing@ automationdirect.com. Please include “Brainteaser August 2021” in the title, and your complete mailing address. We would love to see your solution!
below. There are several
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