# Brainteaser Answers – Issue 6, 2006

In each issue of the Automation Notebook we feature a section of brainteasers. These are the brainteaser answers from  Issue 6, 2006 of the Automation Notebook. The brainteaser questions are repeated in black. The answers to the brainteaser questions are highlighted in red with explanations. You can view the brainteasers from Issue 6, 2006 without the answers here: http://library.automationdirect.com/brainteasers-issue-6-2006/

## 1. Light Weight

The AutomationDirect DL05 PLC weighs 4.5 ounces plus half its own weight. How much does it weigh?

Answer: This riddle trips-up many people with its wording. They start with the 4.5oz and add half of that (2.25oz) to get 6.75oz. But 2.25oz is not “half its own weight” of 6.75oz.

Algebraically, we could write it 4.5 + 0.5x = x, and solve. x = 9oz. To put it another way, when you add two numbers together – knowing that one of the numbers is half the total – then you can surmise that the second number is exactly half, also.

Now, here’s another one. The DL05 PLC (most models) costs \$49.50 plus half its own cost. How much does the DL05 cost? The DL05 may not weigh much or cost a lot, but it’s packed with features and offers true value for smaller automation projects!

## 2. A Puzzling Journey

I’ve been warned about a journey I must take in the next few years. The details are very sketchy, but I’m told that the whole trip can be mapped out using a familiar grid pattern. This is a grid everyone knows about and uses, but no one can alter.

I’ve been given starting coordinates of 7, 7, 7. First, I’m to travel 398 grid units to position 8, 8, 8. Then I must continue in the same direction another 397 units to 9, 9, 9. It’s impossible to retrace my path, so I will travel another 396 units to 10, 10, 10. I’m only allowed to spend one day at each stop.

What is this grid, and how long will my journey last?

Answer: The grid is a standard calendar, and the journey (through time) will take 3 years 3 months, and 3 days (1191 days). Beginning on July 7 th , 2007, and ending on October 10 th , 2010. I hope you can join me 😉

## 3. SuDoku

Oops, we goofed! There was a mistake in the SuDoku puzzle in the printed version of our magazine. The bottom right box contains a “9” where there should be a “3”. Our sincere apologies. The corrected puzzle is below:

SuDoku is somewhat like a crossword puzzle, but it uses numbers instead of letters.

The rules are simple: Fill in the empty squares so that every row, every column, and every 3×3 box contains the digits 1 through 9.

No math is required. Logic is all you need.

Here is a “mild” SuDoku…