24 December 2017

A Holiday Gift Puzzle


by R.T. Lawton

In the old days, or at least about a decade and a half ago, Alfred Hitchcock Mystery Magazine used to publish a column in which the reader was presented with a logic puzzle. After I finally figured out how the logic puzzle worked, I wrote a story in my Twin Brothers Bail Bond series where the characters used that same type of logic to solve the story puzzle. The reader got a chance to solve the puzzle before the story characters did. So, in honor of that past tradition, here's part of the story, and your own Happy Holidays logic puzzle for you to solve. Don't worry, hints are provided in the story to guide you through the logic process to find which person is the designated hitman.

"Yes sir," said Theodore, the bail agent. "it seems by the descriptions I was given, that we have one man with short, curly red hair, one blond male with a crew cut, one with medium brown hair and a man with black hair. Their names are Erikson, Zanos, Harris and Robertson. Their occupations, again in no particular order, seem to be a Stock Broker, a Car Salesman and an Insurance Salesman. The fourth is unknown and therefore obviously our Contract Killer, but I don't know which of these men has which occupation."

"I really hope you have more than that for me to go on," replied the proprietor.

"Well, there are a few more items of information that might help:
   1) the man with the unknown occupation, beat Zanos at golf a couple of days ago.
   2) Harris and the Car Salesman play poker once a week with the brown-haired man and the black-          haired man.
   3) Erikson and the Insurance Salesman dislike the brown-haired man.
   4) The Stock Broker has red hair.
and that's all I managed to get. The gift shop girl and the maids talked for free, but I had to cough up twenty bucks apiece to the others before they'd tell me anything. A bunch of crooks is what they are."

"Hush for a minute, I'm thinking."

The proprietor gazed off into the dark recesses of the inner sanctum's high ceiling. As the clock on the wall ticked off the minutes, he slowly began to stroke the silky sides of his long, black Bandito mustache. In time, he spoke.

"From what your interviews tell me, we know that Harris is not the Car Salesman and has neither brown nor black hair. Also that Erikson is not the Insurance Salesman and does not have brown hair. But, we do know the Stock Broker has red hair. And we know that Zanos is not the Contract Killer. The rest is a matter of logical thinking, thus we know that the color of the hair of the Car Salesman is..."

At this point, Theodore rubbed the tips of his pudgy, almost webbed fingers over the top of his bald head.

"Excuse me, sir. I kept up with you until you got to the logical thinking part, but I can't do this stuff in my head the way you do. Is there, perhaps.....an easier method?"

The proprietor removed paper and pen from the top drawer of his desk. Rapidly, he prepared a grid, which he then pushed across the desk to Theodore, along with a pen.

"Study this, then you fill in the blank spaces with an "O" for a positive and an "X" for a negative fact."

Theodore stared at the chart.

                    red   blond   black   brown    Stock Broker   Car Salesman   Insurance Salesman   Killer

Erikson                                          X                                                                        X

Zanos                                                                                                                                                X

Harris                                X         X                                             X

Robertson
_________________________________________________________________________________

Stk Brkr        O

Car Sales                            X         X

Ins Sales                                         X

Killer


"Okay, sir, I understand where the facts are on the chart, but can you give me a little boost on the logical thinking part?"

The proprietor sadly shook his head.

"Theodore, if you know that the Stock Broker has red hair, then you can place an 'X' in that row under "blond', 'black' and 'brown.' Those are negative facts. Go ahead and mark those in. Now, reading down the brown column, you see that the Stock Broker, the Car Salesman and the Insurance Salesman all have negative X's in their rows, therefore the Killer has brown hair. Put an 'O' in his row. You can figure out the rest."

Five minutes later, Theodore put down his pen.

"Okay, boss, I worked it out that the Car Salesman had blond hair and the Insurance Salesman had black hair, but I'm not sure where to go from here."

CAN YOU WORK IT OUT FROM HERE ?
(if not, then keep reading)

"Now it is a matter of simple elimination," said the proprietor. "Take Harris for example, his row has several blanks You know by those blanks that he can have red or blond hair and he can be the Stock Broker, the Insurance Salesman or the Contract Killer, but blond hair only goes with the Car Salesman as you determined earlier. Thus you eliminate the 'blond' in that row and you now know that that Harris has to be the Stock Broker, the only one with red hair. Keep working on it."

Ten minutes later, after several cross-outs, much scratching of his head and a few "Oh's", Theodore quietly laid down his pen. A self-satisfied smile radiated from his round, lumpy face.

"I figured out who the Contract Killer is. He's....."

DID YOU FIGURE IT OUT ?
(the answer is below)


"Ah, the Contract Killer is Mr. Robertson."

Happy Holidays from our house to yours !!!

5 comments:

Paul D. Marks said...

Happy Holidays, R.T.! And I'll have to show this to my wife, too, she loves puzzles like this.

Eve Fisher said...

I love logic puzzles! And yes, I figured it out using the grid.
Merry Christmas, and all the rest!

Steve Liskow said...

I remember at least one paperback book of puzzles like these, and it may have even been a series. So long ago that I'm not sure...

I used to love them. And, yes, I also used a grid. I was probably only about ten, but I figured out it was the best way.

O'Neil De Noux said...

Logic stories are fun to read and difficult as hell to write, in my opinion. I wrote a few. A couple published. This one's cool.

Leigh Lundin said...

I enjoy puzzles and these are clever, especially when embedded in a story. I actually made a spreadsheet template after Dell gave me puzzle magazines.

Happy Christmas to you and Kiti!