Tired of the same old puzzles? You're in for a great surprise and a real test of your skills. This enormous collect
144 105
English Pages [324] Year 2002
Table of contents :
Cover
Back Cover
Title
Contents
Puzzles
First-Class Crosswords
Hard-to-Solve Word Puzzles
Perplexing Pixel Puzzle
Lateral Thinking Puzzles
Lateral Thinking Clues
Answers
First-Class Crosswords
Hard-to-Solve Word Puzzles
Perplexing Pixel Puzzle
Lateral Thinking Puzzles
3x;
Henry Rathvon,
1 Sloane, and Des MacHale
|
ae oe
$14.95
PUZZLES
Can. $22.95
:
Tired of the same old puzzles? You're in for a great surprise and a real test of your skills. This enormous collection includes three different kinds all in one Ve) [U[patey
The crosswords are first-class: heady challenges from an acclaimed in-flight magazine. Half are the size of daily newspaper crosswords, while the rest are slightly bigger. What
makes
the larger ones
especially devilish? Their size
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ALB GD
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MiNI@
Let’s look at some columns now. Column K already has three of its squares blackened. When completed, it will have a group of two black squares above a group of three black squares. What would happen if square gK were filled in? It would create a group of four consecutive black squares, which can’t be the case. So square gK must be empty. We indicate this by drawing a little “x” in it. (Some solvers prefer to use a dot.) The x in square gK gives us lots of information. We now know the entire appearance of the row. The group of three black squares must be hK, iK, and jK, and the group of two black squares must be fK and eK. The remaining squares all have to be empty. Column E is similar. If square gE were black, a group of four black squares would be formed. But since there would be only one white square below that group of four black squares, there wouldn’t be enough room to form a group of three black squares, as indicated by the numbers at the top of the column. So square gE is white. Once it’s marked with an x, the remaining squares in the column are simple. Square jE must be black to form the 144
group of three black squares, and squares eE, dE, and cE must be blackened to make the group of four black squares. The remaining two squares are empty. The puzzle now looks like this:
0): (Gr (OE) |) =) SF Se
Look at columns N and O. Both say “1” at the top, and both have one square already blackened. Therefore, all the remaining squares must be white. In column M, there is one black square already, so that square must be part of the group of three black squares. Thus, since hM is part of the group of three black squares, the group can’t possibly extend up beyond square f{M, so all the squares above that are empty. And in column L, square gL must be black, because if it weren’t, there wouldn’t be enough space to have four consecutive black squares. Once you blacken square gL, you know that either fL or jL contains the final black square in that column. You don’t know yet which, but you do know that the top fives squares of the column must all be white. Similar logic in columns A and B result in the puzzle looking like this:
x] x x| x] | x]
|@ 10 SQ of 0 ==
ABC
DIEIEGire i Ko MING@
Now look at row j. There are three separate groups of black squares. But since there’s only one number at the left of the column (a “9”), we know that any white squares that come between black squares must be blackened. So fill in squares jF and jJ. In column F, now, there are three consecutive black squares at the bottom of the column. This corresponds to the “3” in column F, so the square above the group (gF) is white. Likewise, squares gH, gl, and g]J are all white. In column G, the bottom number at the top of the column is a “4.” This means that the group of three black squares must extend one square farther, and then have a white square
above that. Following all of this yields a puzzle that looks like this:
145
Ee
x] x| XPPO
x] xy x
ome Mureotnommens) SS
We’re almost done! Go back to column F. There are six white squares that need to hold a group of five black squares. No matter how they go in, the four middle squares must be black. So blacken squares bF, cF, dF, and eF. In the same vein, in
column H, squares bH, cH, dH, and eH must be black, and in column I, no matter how the four black squares go in the six white spaces, squares cl and dl will always be black. The black squares we’ve just added complete rows b and c, so all the remaining squares can be marked with an x. In row d, square dG can’t be black, since that would make a group of five black squares, so dG is white, which
makes dJ black, dD black, and dC white. Here’s what we’ve reached:
ome momeliotmen) Sp
By now you should be able to finish, but in case you're having trouble, follow along. First, eJ and el must be black. So eG must be white. Therefore, eD and eC are black, and eB, white. Now looking at column G, aG is black, so the rest of row
ais white. This forces fF, fH, fl, and fJ to be black. Examining row f, we see that fL is black, {M is white, and fD, fC, and fB are black. In column B, iB and jB need to be black, while in columns C and D, gC and gD are white, while iC, jC, and jD
are all black. This lets us finish row g with black squares in gA and gM, which in
turn tell us that column A is finished, so iA is white, and column M must have a
black square in iM and a white square in jM. The final square, jL, is white. Voila. A sailboat. 214 f |_| iil aa Bo | ee Ba bert ABCDEFGHIJKLMNO
146
a b c d e f
h ii
Don’t expect the puzzles in this book to be as smooth sailing as this one was. The bigger pictures are much harder. If you encounter points in solving where you think there’s no way to logically conclude anything about any unknown squares, just think harder. There’s always something to go on. And often, getting just one additional bit of data cascades into much more information. Of course, filling in
even one square wrong can lead to disastrous results minutes later when you reach a contradiction and don’t know where you went wrong. So be careful not to fill in a square unless you are certain that it’s either definitely black or definitely white. If you finish this book and need more Pixel Puzzles to solve, try the companion book in this series, Mind-Sharpening Pixel Puzzles.
Every decision when solving a Pixel Puzzle is based on analyzing a row or a column, one at a time, and making logical decisions as to which squares should be blackened and which should be marked with an x. These decisions depend on the numbers and the present status of the specific row or column being analyzed. Below are a few sample rows that show the logic you might encounter while solving the puzzles. Example 1 fae aes sees eee ele eee | The block of 17 is wider than half of the width of the 25-square row. This creates the nine-square overlap shown below. No matter how you place the 17 consecutive black squares in the row of 25, the middle nine squares must be black.
Tl
a
TT TT TT
Example 2 See cH e PLP ees ese een eee If the group of four squares is as far left as possible, the group of 17 squares would start in the sixth square (the fifth square would be white). That means that it would extend to the 22nd square. If the group of 17 squares started all the way right, it would extend from the right to the ninth square. So squares 9 through 22 are black. Given that square 9 is part of the group of 17, the group of four must fit in the first seven squares. There’s no way to do this without the fourth square’s being black. 47
Example 3 MIG Ices eae see Since square 4 is filled in, the group of 14 must extend from there to the 14th square, at least. So everything in between is filled in, and the eight squares on the right must be empty, because there’s no way to connect them to square 4 with a group that’s only 14 long.
147
Example 4
Ss. 11111 oe TTT TTITTTrTitity The four filled-in squares can only be part of the five-square group. So either the square to the left of this group of four is black, or the square to the right of it is black. But in either case, all the squares from square 13 to the end must be white. EP PEEP a 36. [111 Example 5 fie otta ante naoeses tell anything else about the row for sure. can’t we in, filled squares With just two eo 2259) ) Lae Ee Eee But look what happens when we know that one more square is black. Now that group of three must be part of the group of nine squares, and it must extend at least one more square to the right (if square 12 were white, there wouldn’t be room for a group of two and a group of nine to the left of it). In addition, the eight nghtmost squares must all be white. Having just one more square of information let us fill in nine additional squares in the row. Remember this when you get stuck. You may need to figure out just a square or two to give yourself a breakthrough. 2oT TTT TT i TT TTT PP] Example 6
Slat PSs ist ils Je) ae al iota sieale] The five-square block cannot fit into the two-square and three-square spaces. These squares are therefore definitely white. Be ee Ta ate ecas Lope) Example 7 147,11 TTT MTT TTT TTT Tre The empty square in the middle must be white, since otherwise a five-square block
would be formed. Solving the rest of this row is now straightforward. Example 8 o 36
x
x
This row contains a combination of some of the situations described above. 536
xT |
BRB
EJ
Example 9 1R2E 2525S
This row also contains a combination of some of the situations described above.
You'll have a better chance with the puzzles in this book if you fully understand these nine examples. 12223] |||
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THE NEXT
\MoUNTAIN oVER.
fect order. The cashier gave them a full
refund. Why? Clues: 253/Answer: 310.
247
AA lay atthe Races A man was returning from a day at the
races where he had made a lot of money. He was
speeding
in his car and was
stopped by the police. The policeman took down
was
all his details, but the man
never prosecuted
or suffered any
penalty. Why not? Clues: 252/Answer: 309.
@eeeeeoeeeoeeeeeeeeeoeoeoeoeoeoeeeeoe @
Pass Protection In the city where I live, commuters
on the mass transit system can use monthly passes or single tokens.
Business Rivalry Cain and Abel are business
rivals. Cain
cuts his price, and Abel then undercuts him. Cain then cuts his price even lower than
Abel.
Abel
slashes
his price to a
ridiculous level and gets all the business,
forcing Cain out of the market. But Cain
Today, I saw long lines of commuters waiting to buy passes and
tokens. Those people with passes or tokens were able to bypass the lines.
However, even though I had neither a pass nor a token,I was also able
to walk right up to the ‘tum il s
and pass through. How come? re
Clues: 256/Answe
has the last laugh. Why?
COCO CCST CCC CEST CC SCS CCC CCC ECTC SECCT CSCC
Clues: 251/Answer: 308. ee
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SCOHOSCHSHSHSHSHSHSHSHSHHSHSHSHSHHHHSHSHHHSHHHHHHHSHH
248
Lateral Thinking Clues
Acidic Action
Ancient Antics
He disposed of her clothes and jewelry.
It has to do with nourishment.
Her body was completely dissolved in acid.
It does not involve a particular strength or physical skill.
A trace of her was found and identified.
It concerns
Adolf Hitler
Angry Response
It was the real Adolf Hitler, the one who
She was angry because he was late.
led the German Third Reich.
Adolf Hitler was alive at the time, and the war still had much time to run.
The British soldier did not recognize Hitler. But it would have made no difference if he had.
Adrift in the Ocean
animals.
They had no particular appointment at eight o’clock.
Assault and Battery John is healthy.
The person who hits John does it to help him. It is a common
occurrence.
They found a source of drinking water. No rain or ice is involved.
The Auction
They were in a particular location.
He was bidding for a pet.
Alex Ferguson
The creature had a talent.
Soccer is played in Singapore.
He thought he was in a competitive auction.
Alex Ferguson’s style of coaching would be appropriate.
Bald Facts
One of his personal habits would not be acceptable in Singapore.
Her hair loss was part of a greater misfortune that befell her.
Alone in a Boat They were deliberately cast adrift from a famous boat. The animals can sometimes offend their
senses.
250
She did not lose her hair from natural
causes.
Her choice of lover was important.
Bare Bones
Burnt Wood
The student was healthy and was not physically abnormal.
The wood has a symbolic value, but is
She had never had any kind of medical operation.
The men involved in this quest all speak English yet come from countries far
Every human is born with two femurs.
apart.
Barren Patch The patch of land received the same sunlight and rain as the fertile land around it. The patch is an irregular shape. No one had ever gone there, but human action had made the land barren.
Biography
not in itself rare or valuable.
They compete over many weeks.
Business Rivalry Cain uses Abel’s lower prices to his own personal advantage. Cain changes his profession. They were competitors in the early days of the railroad business.
His death was accidental.
The Carpet Seller
Had he chosen a different subject for a biography, he would not have died.
The solution can be accomplished in a single cut, but it is not a straight cut.
The author died a similar death to that suffered by the subject of his biography.
The two pieces can fit together perfectly to make either a 9 by 16 rectangle or a 12 by 12 square.
Bottled Up The bottles remained unbroken,
unchanged, and unused throughout. They were worthless when empty, but had been expensive when full. She was status-conscious.
The carpet is not used on the stairs, but it may be helpful to think in terms of steps!
Cartoon Character The scientific journal misstated and exaggerated the properties of something. The cartoon character was designed to be a sort of role model for children, and to
influence their habits. The cartoon character was intended to
make an unpopular but healthy item popular.
Chimney Problem
Debugging
He came down very slowly.
Ants were used in the diagnosis of diabetes.
The chimney was not the same after he finished his descent.
The ants’ actions could indicate that a
person had diabetes.
Clean-Shaven Alexander the Great was interested in
military conquest. He believed that clean-shaven soldiers
had an advantage.
Don’t Get Up No one else is in the apartment and she knows that no one else will answer the phone. She does not know the caller, but she
Complete Garbage
knows that the call is probably impor-
If the garbage had not been emptied, he would have lived.
tant.
He was poor and tired.
She has no malicious motives.
He died a violent death.
She knows the call is not for her.
88 Too Big
Dali’s Brother
It was a number he chose to use.
Salvador Dali is recognized as a brilliant surrealist painter.
He was not at home.
He did not know the right number.
Salvador Dali’s younger brother was actually a brilliant surrealist painter but his older brother never knew this.
Exceptional Gratitude
The two brothers had something impor-
received in order to influence Ted’s
tant and unusual in common.
actions.
Bill thanked Ted for eggs he had never
They were neighbors.
A Day at the Races
Ted was lazy and mean.
The man deserved to be punished.
Fair Fight
He had no special influence with the police, and they fully intended to prosecute him.
The boxer did not expect to collect any money.
He had a special skill that he often used to his advantage.
The trainer collected a worthwhile sum for his efforts.
The boxer won fairly, but without throwing a punch.
252
Fill Her Up!
Free Lunch
He deliberately ruined the car, but later
The man ate his lunch with one knife and
he deeply regretted his action.
one fork.
He was a jealous cement truck driver.
He provided a service.
Fingerprint Evidence
The restaurant provided an intimate atmosphere in the evenings.
It was not Bundy’s fingerprints or any of his victims’ fingerprints that incriminated him, but it was fingerprint evidence:
The police found something unusual when they searched Bundy’s apartment.
Fired for Joining Mensa Anne’s employers would not have objected to her joining any other organization.
She was employed in an administrative position, she did her job well, and her employers were pleased with her. If she had joined Mensa, there may have been a conflict of interest.
Flipping Pages I did this deliberately in order to produce a specific result.
I could do this only in certain places. I should have gotten permission from
the publisher first.
Full Refund It was highly unusual for the theater to give a refund. The theater manager was glad that they left. They had acted cruelly.
Garbage Nosiness I was annoyed with myself, not with my neighbors. I looked in the cans on the same morning each week. When I looked in the cans, I saw that they
had something in common, which mine did not.
Gas Attack He did not use the mask to disguise himself or anyone else.
The gas mask was standard issue. His actions could have saved the lives of
many people.
253
Getting Away with Murder
Job Description
The man had a longstanding motive to kill her.
She acted on impulse, but she chose them for a specific reason.
He was clearly guilty, but had to be
The woman was angry because of the men’s actions.
released under the law.
He was punished for this crime.
She knew they had been talking about her.
Golf Bag Paul removed the bag without touching it.
He did not deliberately set fire to the bag since that would have incurred a penalty. He indulged in a bad habit.
Happy Birthday There was nothing about his appearance that indicated it was his birthday. He was not well known.
Leadfoot and Gumshoe She and the police officer were strangers and she was not trying to help or impress him. She was acting from high moral principles, and was also protecting someone’s reputation.
Machine Forge The man
sells the machine to a crook.
She worked in a shop but was not a shop assistant.
Although the machine produces perfect
She had access to information.
crook rich.
Hosing Down
Man in Tights
They used regular water. The road was not contaminated in any way.
He was knocked out by the rock, but it did not touch him.
It was for a special event.
He was involved in many dangerous adventures.
They did not hose the entire road.
Invisible It can be made of metal or wood.
It is powerful. You can see it under some circumstances, but not others, even when it is directly in
front of you.
254
$100 bills, it cannot be used to make the
He was a well-known sight in his tights.
The Man Who
Got Water
He had intended to use the water in connection with his car, but something happened to make him change his mind. He was very angry.
Missing Items
Nonconventional They are not prohibited from speaking altogether. The do not use signs, gestures, or codes.
They are extremely courteous and concerned for the well-being of their companions.
He grows them. Everyone has them—men and women.
They are in the lower part of the body.
Misunderstood
Nonexistent Actors The nonexistent actors had never existed and took no part whatsoever in the movie, but their names were put deliberately into the credits.
Very few, if any, criminals speak this language.
It was a murder-mystery movie.
It is chosen for its rarity.
No Response
A handful of words are used—but they are important.
The question was one that he often
Motion Not Passed Many people voted for the motion, and the poll was performed correctly according to the rules.
answered, and if anyone else had asked it he would have answered.
The content of the question does not matter. It was the way it was asked that matters.
The stranger had a difficulty.
If a few more people had voted against the motion, it would have been passed. If
many more people had voted against it, then it would have been rejected.
Noteworthy The criminal had committed a crime in the woman’s
house.
No More Bore
The criminal had visited the bank.
Churchill gave the butler something.
The picture of the president is well known.
The butler gave the impression that he was misbehaving.
255
November
11
Pentagon Puzzle
Although it appeared as though many customers had been born on November
The number of people working there is not relevant.
11, the real distribution of births of the
The reason dates back to when the
company’s customers was not unusual.
Pentagon was built.
All the data had been entered on a com-
When
puter database.
were necessary.
it was built, the extra bathrooms
The customers appeared to have birthdays on November
11, 1911.
Once Too Often You can do this many times in your life. You do it on a specific day that is not of your choosing. It is variously considered a right, a privilege, and a duty.
Picture Purchase He was honest and there were no crooked motives involved.
He did not intend to take any action to make the picture more valuable.
He would not have bought the picture if it had been rolled up.
Poor Investment
One Mile The one-mile kink is not associated with any physical or geographical feature of the landscape. The land there is the same as elsewhere along the border.
There was no mistake in the original map and none in the current map. Actions were taken to speed up the survey of the border.
Pass Protection Other people could pass through in the same fashion that I did. As | looked at the people in line, I could see the frustration in their faces.
I always buy a token for every journey.
They could easily buy another of these items; in fact, they had several spare ones. If it was lost, then it had to be found.
They were looking for information.
The Power of Tourism The tourists do not consume large amounts of electricity. The place does not have costly lights or unusual electrical entertainment or appliances. The place is a famous natural tourist attraction.
Promotion
Riddle of the Sphinx
The company knows exactly what John is like. Promoting John is part of a clever plan.
The Sphinx had poetic license. Morning, afternoon, and evening are metaphorical rather than literal times.
They promote him very publicly.
Not all the legs are limbs, but they all
support the body.
The Ransom Note The police could glean no clues from the content, paper, or style of the ransom note. The ransom note was mailed, but the postmark gave no clues. There were no fingerprints, but the police were able to establish a unique match with the criminal.
Reentry It is popular. It is a collection.
Rejected Shoes The shoes fit him comfortably, but there was something uncomfortable about them.
They were made of different material from his other shoes.
Right Off He is upset that his new car is ruined, but pleased at something else. No other vehicle is involved. He acquires something rare.
Russian Racer The papers reported accurately, but put the most positive light on the Russian car’s performance and the most negative on the American car’s. The papers did not report how many cars raced.
Scuba Do He had not been diving and had no immediate intention of going diving. He was an avid diver.
They were fine when worn outside, but not when worn inside.
The reason had to do with safety.
Replacing the Leaves
Secret Assignment
The girl is very sad.
She is trying to prevent something from happening.
She is acting on something she heard.
Knowing the students’ habits, he did some
clever detective work. He knew they were serious, studious, and
always prepared themselves for assignments.
He checked something in a particular place at the university.
257
Seven Bells
Six-Foot Drop
The shopkeeper could easily change the
The tomato fell six feet.
sign, but chooses not to do so.
It was a regular tomato.
No superstition about numbers is involved.
The man was fast.
Many people notice the discrepancy.
Slow Drive There is nothing wrong with the man, the
Shaking a Fist
car, the road, or the driving conditions.
The man was not a criminal. He had been
driving erratically. There was something unusual about the man. The policeman quickly knew that the man was in danger.
This happened under very particular circumstances. At other times he drives at normal speeds. If he went faster, he would lose something he values.
Spraying the Grass Shooting a Dead Man
He wanted the grass to look perfect.
The policeman knew that the man was already dead.
Something was different about the spraying this time.
He wanted someone
was doing.
If he had done this regularly, it would have eventually harmed the grass.
He was not tampering with evidence. He was trying to get information.
Statue of an Insect
else to see what he
The Shoplifter She does not stop because she is in danger of being caught. She steals under a certain guise that enables her to gradually steal larger items. She is recognized on her. regular circuit, but is not known to be a shoplifter.
The insect had caused a big problem.
The town’s prosperity depends on agriculture.
The insect’s actions caused a change.
Straight Ahead It was not done for economic reasons.
The straight miles make no difference to traffic conditions.
The straight miles were designed for use in extreme circumstances.
Strangulation
The Unbroken Arm
She was strangled to death with a scarf. No dancing was involved.
She was not seeking sympathy or help. Nothing was concealed in the cast.
She should not have been in such a hurry.
She was about to do something important.
Talking to Herself The man was recording something for his archives.
She held a unique distinction.
The Test Each boy deserved the grade he was given.
There was something unusual about the test.
Jerry was not as diligent as he should have been.
Three Spirals
She knew that the plaster cast would be noticed immediately.
Unclimbed It is not underwater-—it is clearly visible above ground. It would be very difficult to climb.
Unknown Recognition The man was physically normal and there was nothing abnormal about his appearance. I am not related to him, but a relation-
ship is involved.
It appeared as though she was receiving something for pleasure, but for her it was deadly serious.
The Unlucky Bed
She was involved in dangerous and illegal activities.
ill, but they were not expected to die.
The spirals contained information.
Two Clocks They were fully functional clocks that were used to measure time.
The clocks were used only occasionally and never when the man was on his own.
The man had a particular hobby.
All the patients who died were seriously There is nothing wrong or dangerous about the bed or its location. No doctors or nurses are involved in the cause of the deaths.
Patients receiving particular treatment are put in this bed.
Up in the Air
Window Pain
It is small.
Both the windows are perfect squares.
It does not fly.
Their areas are different.
Check your assumptions on every word of the puzzle!
They look different.
Winning Numbers Walking Backward There was no one else in the house.
If I participate, I will have the same chance as everyone else.
The man was not afraid of any danger to himself.
I am in no way prohibited from playing or winning.
He did not know who had rung the bell. to the front of the house.
The piece of paper has next week’s winning lottery numbers on it. It also has last week’s winning numbers.
Waterless Rivers
Wiped Out
This is not a physical place.
She worked as a cleaner in a large building.
He ran out the back in order to run around
It has mountains, but you could walk over them easily.
She cleaned on every floor.
The cities, forests, mountains, and rivers are
She did much more work than was neces-
real places on planet Earth.
Sary.
Weak Case
Wonder
He paid his bail fully and promptly, but paying it incriminated him.
The horse did not deserve to win.
He paid in cash, but it was untraceable.
This horse did not work as hard as the
Horse
The weather was relevant. other horses in the race.
Well-Meaning There were several of these creatures in a
public place. They were facing death. She made a false assumption about the conditions necessary for their survival.
260
The Writer It was a long process. Somebody helped him. He used a part of his body that was not paralyzed.
The Wrong Ball The ball was clearly visible and accessible.
He did not touch the ball or examine it. He knew it wasn’t his immediately upon seeing it.
You Can Not Be Too Careful The pure medicine tastes very bitter. They do not buy it as a medicine, although it is medicine.
It is effective against malaria.
261
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