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Puzzles

MindBenders 

by Steve Zervos

About:
I composed most of these problematical recreations for the "Zervos'  MindBenders" series which was published in "Scientific Australian" (SA, 1977-1980 ) and for "GAMES" (Hugh Hefner Inc. NY. 1985-1986).  Many have appeared in several other publications in various languages since 1960.  Most of them are my originals, but you might find the odd favourite that I have given a new twist to.
I thank my editors for their kind permission to re-use them on my web site.   

These mindbenders will test your logic in different ways.
How many of them can you solve?
I hope you get as much fun solving them as I have had out of making them.

All "Zervos' MindBenders" puzzles are Copyright 1970-2010   S Zervos   and are not to be used or reproduced in any form without written permission, which will be gladly given.

 


Click on links, or scroll down.

two bucks and a fly  |  sir plutus cratt  |  william and wendy  |  confusion corners  |  penny's birthday  |  el pongo |
relatively speaking  |  poles apart  |  missing link byron the bookworm  |  xenophobia  |  the parsimonious professor |
seat of logic  |  locomotion  |  diagonal thinking

NEW (and easy): island hopper  |  scrabble-dabble  |  jungle post  |  land division  |  pussies galore  |  amazing escape  |  the three sisters  |  the chain bracelet  |  the masterpiece  |  neighbours  |  minnie's garden  |  old macdonald's farm  |  hieroglyphics  |  aliens  |  groovy  |  street map  |  pirate's treasure

NEW:  trans-siberian shuffle  |  weighty problem  |  age of steam  |  balancing act  |  4-card logic  |  old king cole  |  musical codes  |  wordsworth  |  square deal  |  the dining party  |  how many relatives  |  box of beers  |  perce the punter  |  center of gravity

 

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TWO BUCKS AND A FLY:

Two bucks, vying for the attention of a young doe standing nearby, lowered their antlers and came hurtling toward each other from a distance apart of 100 meters, each at a speed of 12.5 meters per sec.

A super-fast, but crazy, deer-fly flew in a straight line from the head of one buck to the head of the other, turned and flew back to the first buck. It continued to fly back and forth between the two bucks as the distance between them became dangerously shorter. The fly's speed was 8 meters per sec. How many meters had the fly traveled when the two bucks eventually made contact?


 

Contrary to how it may seem, you don't need involved calculus to solve this puzzle. All it requires is a little logic to find the simple solution.

 

Please note: No creature was harmed in the making of this puzzle. The groggy bucks survived the charge and the crazy fly jumped out of the way just before impact. As for the unimpressed doe, it casually ambled off.

 

Answer

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SIR PLUTUS CRATT:

Sir Plutus has forgotten that he no longer has anything of value in his wall safe, so he recently had one of those new-fangled electronic security locks installed. It has eight ordinary up-down toggle switches labeled A to H. The instructions that came with the device were crystal clear. To open it, all Sir Plutus has to do is set each switch either up or down such that,

Neither B nor C is the same as D.
G is down only if E is not the same as H.
A and G are different if (but only if) E and G are both in the same position.
G is down if D is down, but G is up if B is down.
D is up, unless E is the same as F.
A is not the same as B if either A or E is down.
A, F, and G are not all in the same position.

It may or may not confuse the burglars, but it has certainly confused Sir Plutus. How should the switches be set to open the safe?

Answer

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WILLIAM AND WENDY:

William and his sweetheart Wendy were both paranoid about security.

When William wanted to send Wendy (who was living in another town) a memento of sentimental value they devised a way of sending it safely through the mail.

William put the memento in a box that had ample room for a strong padlock. He mailed the padlocked box to Wendy, but he retained the key.

How did Wendy open the box and retrieve the memento without William's key? She did not have a copy of the key, and she did not pick the lock or damage the box in any way.

Answer

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CONFUSION CORNERS:

Confusion Corners is one of those new housing estates that have sprung up on the outskirts of town. It has three parallel avenues that run north and south, intersected by three parallel streets that run east and west. So far there are nine families living on the estate, each at a different one of the nine intersections. It's a happy little nook of racial harmony. There are no house numbers yet but if you want to find a particular family just remember that:

The Wontons live on the same avenue as the Bouzoukis, who live on the same street as the Yamahas, who live further south than the Wontons, who live further west than the Dumbkopfs, who live on a different avenue to the Shicklegrubers, who live on the same street as the Gorgonzolas, who live further south than the Bouzoukis, who live further east than the Ubangis, who live on the same street as the Felafels.

The Yamahas and the Kashmiris live on different streets, but the Ubangis and the Gorgonzolas live on the same avenue.

The postman has requested a transfer. Do you know at which intersection each family lives?

Answer

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PENNY'S BIRTHDAY:

When teacher asked Penny Bright for her place and date of birth she quickly replied "I was born in London at exactly 25 minutes and 4 seconds before Big Ben struck one on the afternoon of the 7th day of August in the year 1990."

The teacher was amazed. "Goodness. How can you remember all that information after all these years". Penny has a method. How does she remember?

Answer

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EL PONGO:

Grandma Gemma was going past the "El Pongo" pet store so she asked her grandchildren if they wanted any pets. Abby said she wanted some kittens and nothing else. Bronnie said she wanted some chickens and nothing else. Charles said he wanted only one pet and he didn't care what it was.

Grandma was able to satisfy everyone's order. She brought 9 pets in total, all perfectly healthy specimens with 20 legs between them. Surprisingly, Abby's kittens got on quite well with Bronnie's chickens.

How many kittens did Abby get?

(Hint. Yes, the puzzle is solvable. Read the clues carefully.)

Answer

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RELATIVELY SPEAKING:

Officer Kurious stopped a motor vehicle for a routine inspection. He asked the female driver who her passengers were. She replied that she and her passengers were all related.

Officer Kurious asked "Can you tell me how you are related?". "Certainly" she replied. "There are five of us in the vehicle. We are all one family and we are related in 18 ways.

There are no spouses, in-laws or step-relatives on board. There are two fathers, my son and ...".

By this time Officer Kurious shook his head, gave a sigh of resignation and walked off to attend to another matter. How were the five people in the vehicle related to each other in 18 ways?

Answer

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POLES APART:

Farmer Newer had two poles erected on his land, one was 74 feet high and the other 100 feet high.

He attached a 114 foot length of rope from the top of one pole to the top of the other. The rope sagged so that its lowest point was 30 feet above the ground. What distance apart are the poles?

(Hint: This puzzle is not as difficult as it appears.)

Answer

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MISSING LINK:

R T _ U I

This is a common sequence which you have probably made use of many times yourself. If you can remember where you have seen it you will have no trouble filling in the missing letter, which is ---?.

Answer

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BYRON THE BOOKWORM:

This puzzle is different to other puzzles about books and pages. I have made it relatively easier than my other puzzles on the same theme yet many readers still find it hard to solve.

Byron the bookworm has been traveling through the pages of the "Happy Eater's Digest", volumes I, II and III.

The books stand together on a shelf as shown. Each book has 100 pages with every page numbered. There are no numbers on the inside of the covers.

Byron enjoys eating out holes in the pages as he travels through the books. He always makes a new hole, never passing through the same hole twice and never eating through the covers, which he finds unpalatable, preferring instead to go around them.

Byron began on page 42 of volume I, and so far has eaten holes all the way to page 73 of volume III where he turned and ate his way back to page 31 of volume II, which is where he is now.

How many holes has Byron made?

(Hint: If your answer is not between 110 and 120 you may prefer to try again before looking at the answer.)

Answer

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XENOPHOBIA:

The good citizens of Xenophobia are so suspicious of foreigners that they won't even give them the time of day.

A traveler passing through their village one morning noticed that the village clock had an hour hand only and that the numbers on the hour-pips had been confusingly re-arranged, as shown.

He asked a passer-by if the hour hand still pointed directly up for 12 o'clock. "No", came the curt reply. "Thank you. Can you also tell me how many hour-pips are correctly numbered", asked the friendly tourist. "Definitely not. If you knew that, you could tell the time", snapped the passer-by before scurrying off.

What time (in hours) is the clock showing?

Answer

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THE PARSIMONIOUS PROFESSOR:

Professor Parsimonious has a cylindrical measuring glass with a total capacity of 29 fluid ounces. He has had it for so long that all but the 7 and 19 fluid ounce graduation marks have worn off it. Still, the professor makes ingenious use of it. He recently measured out 21 fluid ounces of a solution by pouring a quantity of it into the glass once only.

How did he perform this seemingly impossible feat?

This is not a trick question.

Answer

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SEAT OF LOGIC

Alpha, Beta, Gamma, and Delta are the four savants short-listed for the Chair of Logic at the University of Numerica.

"Now then" began Professor Profundus, who was conducting the final interview. "Beside each of your names I have written down a number. To Alpha who is 25 years old I have given the number 132. to Beta who is 36 years old I have given the number 145 and to Gamma who is 57 years old I have given the number 169."

The corner of his mouth twitched slightly as he continued mercilessly. "There is a simple relationship between each man's number and his age. The chair will go to the first of you who can tell me the number I have given to Delta who is 63 years old."

The four aspirants shouted out the correct number immediately and almost simultaneously, but the chair went to Alpha who pipped the others by half a syllable.

What is Delta's number?

Answer

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LOCOMOTION:

The distance between Bluebell and Maybelene is 150 km along a straight railroad. A locomotive leaves Bluebell for Maybelene at the leisurely speed of 24 km per hour. At the same time a locomotive leaves Maybelene for Bluebell at a speed one and a half times as fast again. How many kilometers from Bluebell are the locomotives when they meet up and the drivers pause for a chat?

A bit of reasoning will make the solution easier. (The answer will be in kilometers so you can ignore the length of the locomotives.)

Answer

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DIAGONAL THINKING:

Young cowboy Chuck Waggon owned a quarter-circular piece of land on which he grazed his cattle. During a recent inspection tour he walked 112 meters directly east from point A to point B on the boundary of his land. He then turned and walked south (sorry, I've forgotten how far) to point C where he met up with his partner Heidi Heifer who had walked the 73 meters from point D to join him. Together they walked back, hand-in-hand, directly to point A.

How many meters is the diagonal distance from point C to point A?

The logic of this mindbender is so obvious you will chide yourself if you don't see it and come up with the answer in less than a minute.

Answer

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ISLAND HOPPER:

The grid features 9 recognisable islands (or groups) from different regions of the world.  Identify as many of the islands (or the countries they make up) as you can before searching for them on a map.
The figures are not drawn to scale with respect to each other. North is toward the top.

Answer

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SCRABBLE-DABBLE:

Tilly and her partner decided to play a game of scrabble. Her partner opened the game by
placing 3 tiles across to make his first word tho.

The tiles on Tilly's rack were,

Tilly played ALL her 7 tiles, placing some before and some after the word tho,  to make
a well-known 10-letter word across. What word did Tilly make?

Answer

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JUNGLE POST:

While exploring in the Amazon jungle, Professor Phootprintz, the eminent Anthropologist, discovered a 5 foot ceremonial spear of a long lost tribe. When the professor went to send his find back to his laboratory, he was informed by the jungle post office that regulations prohibited mailing any package exceeding 3 feet in length. That did not stop the clever professor mailing the 5 foot spear. He worked out a method to send it in accordance with postal regulations without having to bend or break it.
How did he mail the spear?

Answer

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LAND DIVISION:

Shep Dagg owns a lush field on which he grazes his sheep.  The field has six waterholes as shown. For some reason known only to himself Shep wants to subdivide the field into six plots of equal shape and size yet each containing a waterhole.  After a lot of head-scratching he still can't figure out how to do it.  Can you help him?

Answer

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PUSSIES GALORE:

I cannot claim credit for this puzzle. Variations of it have been around for hundreds of years. Here is my contribution.

There are 7 girls in a bus.
Each girl is carrying 7 backpacks.
Each backpack contains 7 big cats,
plus 7 kittens for every big cat.

There is no driver nor other passengers on board. How many legs are there in the bus.
(This is not a trick question).

One would think that with each girl carrying so many backpacks weighed down  by so many cats that the bus would have been transporting a team of Bulgarian female shot-putters to an Olympic training event, but I have no evidence to support this conjecture.  (Did anyone remember to bring the Kitty Litter?)

Answer

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AMAZING ESCAPE:

The heroic freedom fighter El Moustachio has been confined in this enclosure by Capitano Juan Grande Porka. 

There is no continuous path from Moustachio's cell to the gate and freedom.
To escape, Moustachio needs to cut his way through the wire fencing.

Fortunately he has found a heavy-wire cutting tool left behind by a previous escapee.
Unfortunately the tool is now weather-worn and blunt and good for cutting only ONE hole through the wire fence  big enough for Moustachio to crawl through. It will not cut at the corners.

Where should Moustachio cut the hole to continue on his way to the gate?
Hint: You can help Moustachio without having to trace a route through the entire wire maze.

Answer

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THE THREE SISTERS:

Jenny is one of three sisters. Her age is 1/3rd  the sum of the ages of all three sisters. The ages of her two sisters, Jody and Jan, total 36.  Jody is 4 years younger than Jan.  They are not triplets and there are no twins.  What is the age of each sister?

Answer

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THE CHAIN BRACELET:

Vicky decided to extend her vacation at an expensive Mediterranean resort for an extra week. She was running short of spending money, so she made a deal with the resort manager. She had a semi-precious chain bracelet that had broken into a single string. Never-the-less, the manager took a liking to it.

The string consisted of seven linked rings. The deal was that Vicky would give the manager one ring  for each of the seven days she stayed on at the resort. The manager would have one ring on the first day, two rings on the second day, three rings on the third day and so on until he had all seven rings for the week.

Being a sentimentalist, he wasn't too happy about the chain being broken up into separate rings, but agreed to the deal after Vicky explained that she only had to make one cut in the chain.
Where did Vicky make the cut?

Answer

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THE MASTERPIECE:

A rare painting is on loan to the city's 'Gallery of Classic Art'. The gallery has a number of exhibition rooms, each room displaying only the works of the painter after whom it is named.

Wally the watchman has the responsibility of guarding the valuable masterpiece after the gallery has closed for the day. After the staff has departed, he securely locks the foyer entrance then follows the same routine on every shift.  Starting from the foyer, he checks every room, passing through each doorway of the gallery once (and once only).

His route finishes at the room where the loaned painting is on display and where he remains on duty for the duration of his shift.

Which artist painted the rare masterpiece that Wally is guarding?
This is not a trick question.

Answer 

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NEIGHBOURS:

Alfa, Bravo and Charlie live at three different houses in Numerica street.
The street has many houses, all of them on one side of the street only and consecutively numbered from 1 to the highest. Alfa and Bravo do not live on the same side of Charlie, but Charlie's address is closer to Alfa's than it is to Bravo's.

The total of their house numbers is 10, and no one lives next to any of the others.
What are their respective house numbers?

Answer

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MINNIE'S GARDEN:

Minnie Stronii of the M'Hunga tribe is a disappointment to her father, the Chief.
Minnie is not your typical anthropo-phagistra --- she is a vegetarian.
She has converted her kraal into a vegetable garden growing the six common kitchen vegetables
(a to f) listed above.
Different numbers represent different letters, with the same number representing the same letter.
Fill in the letters to see what vegetables Minnie is growing.

Answer

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OLD MACDONALD'S FARM:

PREAMBLE: This puzzle is more of a mathematical problem. It is the easiest one of a series I once wrote for those fool-hardy puzzle-o-philes who enjoy driving themselves insane.
You may need to recall some simple early schoolwork. On the other hand, if you were preoccupied researching the aerodynamics of paper flight during math classes then you might prefer to give this problem a miss.

PROBLEM: Old MacDonald had a farm and on his farm he had a goat and to his goat he tied two ropes ---
a 9 meter rope and a 12 meter rope, each rope attached to a peg firmly embedded in the ground.
The pegs were 15 meters apart.
Over how many square meters of grass could the happy goat graze?


Okay, okay. Let us ignore the shape and size of the goat. Let us assume that the goat is represented by the point at which the two ropes are attached to the goat's collar.

For consistency, round off all figures to the nearest decimal point.
If you are tempted to peek at the answer but think you might regret it, here is a hint --- The size of the grazing area is somewhere between 55 and 66 square meters.

Answer

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HIEROGLYPHICS:

While searching through the ruins of the ancient city of Saggbad,  Professor Rubble, the eminent archeologist, found a previously undiscovered document of recorded events.
He was easily able to decipher the unusual hieroglyphs and
understand the meaning of each line, as he noted above. What word (or name) does each glyph stand for?



bozo   but   flavia   loho   love   marry   oona   tease

Answer

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ALIENS:

A spaceship from the planet Plonk landed in the town square and the crew stepped out to meet
the locals.
Unlike Earthlings, Plonks have three genders and all were represented among the crew.
The males have 2 antennas, the females have 3 antennas and the tetras have 4 antennas.
There were 12 crew members with 32 antennas between them. There were more tetras than females.
How many of each gender made up the crew?

Answer

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GROOVY:


Image from the "Zervos' Mindbenders" series,
(1977-1980, Scientific Australian)


The SKRATCHI record company has just released its latest LP album "Cacophonus" featuring those fine young lads "The Abominables".
The record has 10 tracks, 4 on one side and 6 on the other.  It makes exactly 130 revolutions for every track it plays. What is the total number of grooves on (both sides of) the record?

Answer

 

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STREET MAP:

The tourist had just stepped off the bus at the depot and was standing in front of one of those ubiquitous "You are here" street map boards scratching his head. He asked a bright young local passerby if she could direct him to his hotel 'The Hovel International'.
"Certainly", she replied cheerfully. "I will show you the longer, but more scenic, route which I'm sure you will enjoy".
"Every straight line on the map is a different street. Every place I will point out is at the junction of two or more streets. You won't have to pass any landmarks more than once and you won't have to enter or cross any street you have already been on".

"You are now here at the depot". She pointed to one of the streets leading away from the depot.
"Go along this street and make a right turn here and other right turn here. This will take you to the fountain".

"At the fountain make a right turn and continue, making another right turn here and another right turn here. Continue on this street until you come to the museum."
"At the museum turn right,  then left and left again. Keep going until you reach the gallery".
"At the gallery turn left then left again and you will come to the pond".
When you reach the pond turn right. You then only need to turn into one more street and proceed to your hotel at the next junction".

"Got all that?". "Yep. Thank you". "You're welcome. Have a nice day", she giggled and went on her way. Can you place these landmarks on the map? --- depot, fountain, gallery, museum, pond, hotel.
Note: A left or right turn means turning into ANY street on that side. 

Answer

 

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THE PIRATE'S TREASURE:

Buck O'Neer was a good pirate. He would only plunder other pirates and give a hefty percentage of his booty to the needy and the disadvantaged. He amassed many treasures during his profession but was now retiring and wished to divide his booty among his three daughters Unna, Dua, and Tria.
Some pieces of treasure had a greater value than others and some pieces were desired by more than one daughter.
He didn't want them to squabble over who got what, so he came up with a way to divide his treasure among them in fair and equitable shares that would be to the satisfaction of the three girls.
How would you have shared out the treasure.? Click on answer to see how Buck O'Neer solved his dilemma.

Answer

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TRANS-SIBERIAN RAILWAY:



Zastupnovich is the new engineer at the trans-Siberian marshalling yards. He is not as simple as his name would imply.  He will have no trouble completing the following task assigned to him.
Consider the layout of the seven track sections (t1 - t7) in fig.1.  The train is to be shunted such that it will be returned to the same position but with the engine E facing  in the opposite direction and with the red wagon marked A now coupled between wagons C and B as in fig.2.
How can this be done?

Only the train's engine can pass over the bridge, the wagons can not.
The engine can pull or push from either end.
The wagons can be coupled or uncoupled from either end.
Every track section (t#) is long enough to accommodate the entire train. (Track sections not drawn to scale.)

Answer

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A WEIGHTY PROBLEM:

Puzzles of this kind were popular in colleges and universities during the 1990s but none of them asked for a weighing of more than 12 objects, so I decided to make my puzzle a little more interesting with a solution just as easy.
You have 27 billiard balls indistinguishable from each other except that one of them is slightly (and imperceptively) heavier than the others. How can you find the heavier ball by making only THREE weighings using a simple balance scale as shown?
The scale's pans can hold any number of balls.

Answer

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THE AGE OF STEAM:

In this humdrum age of diesel there is still one old steam faithful that maintains a regular service in a picturesque pocket of the countryside. Once a day the train sets out from vineyard and runs along a  circular route that takes it past all stations on the line until it comes to Vineyard again.
The train completes its round trip traveling one way only; clockwise on some days and counter-clockwise on others to break the monotony for the regular commuters. Here are some snippets about the journey.

1. There are at least two stations between Forestville and Vineyard.
2. There are fewer stations between Laguna and Riverside than there are between Riverside and Cherrybrook.
3. There is at least one station between Maybelline and Vineyard.
4. Cherrybrook is not next to Vineyard or Laguna.
5. On clockwise runs the train passes only one other station from Forestville to Waterfall.
6. On some days - depending on which way it is running - the train passes exactly two other stations from Blueberry to Vineyard.
7. Whichever way it runs, the train never passes more than four other stations between Maybelline and Cherrybrook.

In what order are the stations along the line?

Answer

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A BALANCING ACT:

Frugal 'Trader Tom' of the Klondike has a simple balance scale as shown above.  When he acquired the scale it came with a set of weights, most of which have long since been lost. However he still has the 6, 9 and 11 ounce weights.
When Diamond Lil asked for 12 ounces of tea and 14 ounces of sugar he was able to satisfy her order by using the scale TWICE only. How?
Note: Any number of weights or purchases can be placed in either pan of the scale.

Answer

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4-CARD LOGIC:

Black Jack took four cards from a standard deck and placed them face down. Diamond Lil  looked over his shoulder and asked "What cards are they?". Black Jack replied,

To the left of a king are one or two jacks.
To the right of a jack are one or two jacks.
To the right of a king is an ace,
But there are no aces to the left of a jack.

Diamond Lil then asked "But what are the suits?".   Black Jack replied:

There is a diamond to the right of a king, but there is no diamond next to a king.
There are one or two hearts to the right of a jack.
There is a diamond to the left of a heart,
and there is a club to the left of a king.

He then asked "Can you tell what the cards are?".  " Of course I can", she replied.

What are the four cards left to right?

Answer

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OLD KING COLE:

Old King Cole was not such a merry old soul when he called for his fiddlers four.
(Yes! There was a fourth fiddler.  He was the understudy.)
"Orrright!" roared the King.  Someone's filched my favorite fiddle.  Which one of you took it?"
The fidgety fiddlers assembled before him shuffled their feet.  Each made two statements ---

"It was not I who took the fiddle," whimpered Viola.  "It was Strad."
"The fiddle was taken by Strad," asserted Cello.  "Fidel is not the thief."
"I am innocent," protested Strad.  "Cello took the fiddle."
"Yes, Cello is the thief," concurred Fidel.  "Strad is innocent."

"Rubbish!" shouted the King.  "Only some of your eight statements are true."
Perspicatus, the wise wizard, leaned over and whispered in the King's ear. 
"True, your Majesty.  But only the thief has lied twice."
Aha! So who was the fallacious fiddler who filched the favorite fiddle?

Answer

 

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MUSICAL CODE:

Mo Zart was sent to Naples from a nearby reconnaissance base to scout enemy positions prior to an impending advance on the city.  He was given special instructions for his return to base.

The instructions were encrypted as a musical piece, but it requires no musical knowledge to decipher.  Letters of the alphabet have been replaced by musical notes. Each different note stands for a different letter, according to its type and position on the staff.

The code may be a simple one, but I doubt if the melody would be music to anyone's ears.

The note symbols and their inversions are read as being the same.
Rest symbols are ignored;  they are not a part of the code.

Answer

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WORDSWORTH:

The letters in this word grid have been replaced by the numbers 1 to 9.  The same number stands for the same letter throughout.  Replace the numbers with the letters they stand for to make  8  different words,  4  across and  4  down.  The letter  occurs once only.  It is correctly placed in the top right-hand corner.

Answer

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SQUARE DEAL:

Black Jack took the ten cards from the ace up to the ten of diamonds and arranged them in a square as shown.   The values of the cards on each of the four sides of the square, including the corners, added up to the same number --- 18. (The Ace counts as 1.)

Diamond Lil reached over his shoulder and rearranged the cards so that the totals of the card values on each side still were equal, but now added up to the highest possible number,
which was ....?

Answer

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THE DINING PARTY:

This puzzle is not as difficult as it seems.
A party of six diners shared a table at a restaurant.  Each chose two meals from the above list.
No one chose the same two meals as another and no one chose two servings of the same meal.
The same number of seafood dishes was ordered, but only one diner ordered the egg foo yong.
What was the total cost of all the meals ordered?

Answer

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HOW MANY RELATIVES

A father, mother, two sons, daughter, grandfather, grandson, brother, sister, an uncle and a nephew, all from the same family, made up the singing group 'The Keynotes'. What is the least number of members of the family that could have been in the group?

Answer

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BOX OF BEERS

Five cylindrical beer cans fit snugly into a square box, as shown.
The diameter of each beer can is one unit. How many units of length is each side of the square box?

Answer

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PERCE THE PUNTER

Perce the punter decided to try his luck at a five-horse race.
After studying the odds offered by Bonkers the Bookie astute Perce figured he could bet on the five horses in such amounts that he would make a profit on whichever horse won the race. 
He bet on each of the five horses (in a whole number of dollars). Each bet was for a win only.

The total of his bets came to $29. How much did Perce bet on each horse to make a profit of more than $5 on whichever horse won the race?

Answer

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CENTER OF GRAVITY

The shaded-in  irregular figure represents a flat piece of metal.  Each shaded grid square is of an equal weight. 
The figure's center of gravity (the point of perfect balance) will be located in which square of the overall grid?

Answer

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All Mindbender puzzles copyright
1970-2010 S Zervos

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