How old!!!???

A girl was eight years old on her first birthday. How could that be?

Take your time

If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?

Paint paradox

Consider the curve y = 1/x, over the region x = 1 to infinity. The volume of revolution about the x-axis is Pi, but the surface area is infinite.

So you can fill the cone shape with paint, but you can't paint it. Explain!

Bright idea

In your basement you have three light switches. They are in the off position. The lights can't be seen from the basement. Using only one visit to the lights, how can you determine which switch controls which light?

Deer Dilemma

In Kisatchie National Forest in Louisiana, where there are thousands of deer, one out of 10 on an average is a blackbuck (endangered species). If you happen to shoot at random 10 deer in this forest, what is the chance that you will have hit at least one blackbuck? And how many deer do you need to shoot to be sure with a confidence of 90 percent that a blackbuck has been shot?

Treasure hunt

A man has a treasure map. It shows an island with a gallows, an elm tree and an oak tree. The map has instructions. They say go to the gallows and walk to the elm tree, counting your paces. Then turn 90 degrees right and walk the same number of paces as you had just counted. Mark that spot. Go back to the gallows. Now walk to the oak tree, counting your paces. Turn 90 degrees left and walk the same number of paces as you had just counted. Mark that spot. The treasure is buried halfway between the two marked spots.

When he got to the island, he could find the trees, but not the gallows. How can he find the treasure?

There are quite a few ways to answer this problem. One is partly outside the box. It is a famous problem.

It's Murder, Watson!

The facts are these my dear Watson

"One member of the family murdered another member, the third member witnessed the crime, and the fourth member was an accessory after the fact." said Holmes.

On the scene, Inspector Lestrade was found, who added the following.

• Accessory and the witness were of opposite sex


• The oldest member and the witness were of opposite sex


• The youngest member and the victim were of opposite sex


• The accesory was older than the victim


• The father was the oldest


• The murderer was not the youngest

Hah ! cried Sherlock Holmes. Lestrade, still confused, what about you ?

Car mechanics

My mini is 3.05m in length, and the body sits 0.3m off the ground.
Unfortunately the exhaust is cracked right in the centre of the car.
Assuming I can only lift the car at either end or I risk damaging the bodywork, and that I need a clearance of 0.5m to work under the car, how high do I need to jack up the car and which end would be best to use.

Smart People Pass

Alice, Bob and Charlie are having true conversations:

Alice says "Only one of us is smart. If I am not smart I will not pass the English Test"

Bob say "The smart person is the only person not to pass one of the two subjects. If I am smart I will pass the English Test."

Charlie says "If I am smart, I will pass Maths, If I am not smart, I will not pass Maths "

Are you smart enough to find out, Who is smart and Who will pass ?

My uncle

My Fathers brother knows the score of the game before it even starts how could this be?

Word Puzzle

Which English 6 letter word can form 7 other words without rearranging the order of any of the letters?

Puzzle

What number do you have to take out to get another number?

STEVWEENTNTYEOENNAENDAANQDUATATHIERRD

Back to Square One

This time Mr. and Mrs Smith planned to go around a square track ( remember the pentagon problem). While Mr. Smith runs one side of the square, Mrs. Smith; being young, completes two sides and a diagonal in the same time.

One morning Mr. Smith decided to test Mrs Smith's intelligence. He said "I will cover all four sides of the square and you cover all the tracks twice (all sides and two diagonals). We must start from the same corner and in the same direction and must finish together, moving in the same direction again." Mr. Smith added. "I will only tread my foot on a path which you have already taken and I don't want you to meet me anywhere en-route".

Assume ABCD is the square, can you help Mrs. Smith route the path?

The Archimedes Problem

Archimedes' greatest achievement was his anticipation of some of the fundamental ideas of calculus. The problem given here is a classic example of a problem that most mathematician today would regard unsolvable without a knowledge of calculus (indeed it is found in many calculus textbooks) but that yielded readily to Archimedes ingenious method.

Two circular cylinders intersect at right angles. If each cylinder has a radius of one unit, what is the volume of solid figure that is common to both the cylinders ?

No Surviving record was found how Archimedes solved this problem. there is, however, a startling simple way to obtain the answer; indeed, one need to know a little more than formula for the area of the circle(Pi times square of the radius) and the formula for the volume of the sphere (Four-thirds Pi times the cube of the radius). It may have been the method Archimedes used. In any case, it has become a famous illustration of how calculus often can be sidestepped by finding a single approach to the problem.

Puzzle

JBJBJATWOWFIITRIAOHOSOJBJBJATWOWFIITRIAOHOS.

Explain?

pramsay13

Pentagon Problem

Every morning Mr. and Mrs Smith, go over a track around a pentagon, each side of which is a mile. Mr. Smith walking and running rates are 2 and 6 miles per hour respectively. The difference between the walking rates of the two is the same as the difference in the running speeds.

They start together from one corner but in different directions. Mr. Smith runs and Mrs. Smith walks till they meet; thereafter Mrs. Smith runs and Mr. Smith walks. They finish together after Mrs. Smith has covered the track twice and Mr. Smith just once.

Where all do they meet and how long do they take to finish?

What 2

Furious with her black cat, Angela attempts to shoot it. Instead, she hits and kills her elderly father, while the cat flees. To hid her crime, Angela drags her fathers body into the cellar and walls up the corpse. Alerted by worried neighbors, the police incestigfate the cellar and, by listening carefully, quickly discover the body, along with something else quite enexpected.

What did the police hear and what else did they find.

~As always I have clues if you need them, Have fun.
~Valerie

Escaping the Tunnel

Two boys walking in the woods decided to take a shortcut through a railroad tunnel. when they had walked two-third of the way through the tunnel, their worst fears were realized. A train was coming from the opposite direction, nearing the tunnel entrance. The boys panicked and each ran for a different end of the tunnel. Both boys ran at the same speed, 10 miles per hour. Each boy escaped the tunnel just at the instant that the train would have squashed them into the rails.

Assuming the trains' speed was constant, and both boys were capable of instantaneous reaction and acceleration, how fast was the train going ?

99 Bottles of Beer on the Wall

In the song "99 bottle of beer on the wall" what is the total sum of all the numbers sung throughout the whole song including the repeats?

Have fun counting
xoxo
Kristie

Elementary My Dear

David Taylor drove at a steady speed along the highway, his wife beside him. "Have you noticed," he said, "that those road signboards seem to be regularly spaced along the road? I wonder how far apart they are."

Mrs. Taylor glanced at her wristwatch, then counted the number of signboards they passed in one minute. "What an odd coincidence!" exclaimed Taylor. "When you multiply that number by 10, it exactly equals the speed of our car in miles per hour."

Assuming the car's speed is constant, that the signs are equally spaced, and Mrs. Taylor's minutes began and ended with the car midway between two signs, how far is it between one sign and the other?

Get Work Done

David Taylor wanted his house painted in two days. One contractor said that he would charge $ 210 and take one full week. Another contractor wanted six days with same charges. the third contractor too was happy about the charges but expressed his inability to finish his work in less than five days.

David Taylor was in a hurry and wanted it done in two days and no more. Accordingly he consulted Johnny Appleseed , a close friend.

"Oh! that is no problem, I will get the work done." said Mr. Appleseed . "It will cost just $ 4 more and you need not worry, I shall pay that out of my own pocket."

What was Mr. Appleseed 's plan?

Money In The Bag

There once was a man with 7 stencils. He had recently purchased the stencils from a drug dealer named Albus. When the man asked Albus how much the stencils were, Albus replied, "All the money you have." The man was quite confused, for he happened to be carrying quite a large sum of money at the time. So the man said, "For 1 stencil, I'll give you 1/32 of all my money. But for 2 stencils, I shall give you 1/64 of my money. For 3 stencils, I shall give you 1/128 of my money."

The pattern continues, doubling the denominator for every stencil added. The man gave Albus a simple choice. He said, "Albus, you decide how many I buy." Now it would seem that Albus should just say only one since it would seem like he would be getting the most money for less stencils. However, Albus responded, "By GOD! Take them all!!!" Shortly there after, Albus was seen running down the street yelling, "I'M RICH! I'M RICH!" And indeed he was.

Why would Albus respond like this?

P.S. I posted this elsewhere and no one could figure it out so here is a HINT: It has to do with Albus's occupation, and NO you do not need drug dealer knowledge to figure this one out. SIMPLE MATH PPL!!!!

POSTED BY: A US MARINE

Silverfish and the Rubik's cube

Remember the bookworm Silverfish

This time he finds a Rubik's cube made of wood. He starts at the center of face of any one of the outside cubes and bore a path that takes him once through every cube. His movement is always parallel to a side of the large cube, never diagonal.

Is it possible for the Silverfish to bore through each of the Rubik's side cubes once and only once and finish his trip by entering the final central cube for the first time?

Akbar and Birbal

Akbar used to play chess with Birbal almost every evening. One evening when Birbal won , Akbar was very pleased with Birbal's game and so offered him a grand reward.

"Ask and thou shall recieve. I am rich enough to satisfy thy most cherished wish," snapped Akbar.
Birbal was hesistant but, on being forced by the emperor, said, "Sir, I will like to have one grain of wheat for the first square on the chessboard, two for second, four for third, and so on for all the 64 squares."

"Is that all?" retorted Akbar. "birbal, thy request is not worthy of my generosity. Anyhow, thou shall have thy sack of grain."

What do you think was the size of this sack ?

For the uninitiated, Birbal

Charlotte's Adventure

Charlotte's* baby Joy flew in the air and got stuck on the other side of the road.

Luckily, a fifteen feet long ladder is placed across the street such that while its base is at one edge of the street its top rests against the opposite wall at a height of nine feet. Similarly, another ladder, twenty feet long, is placed resting across the other side-wall so that the two ladder cross each other.

Charlotte wants to use the ladder to cross the street.

How long will Charlotte take to accomplish the crossing assuming that he covers one foot in ten seconds ?

* Charlotte is the name of the barn spider

It Could Happen To You

Michael was going to his hometown to see his mother who had fallen ill suddenly. He had been driving through the hills since mid-night. The day had just broken and he was happy to get a view of the country he was passing through. Suddenly he had to jam the brakes when a missing culvert alerted him. He did managed to stop just in time and was glad he had not driven over it during the hour of darkness. Perhaps the culvert had been washed away by rain the previous evening.

After he got over the initial shock, he went about inspecting the site with the idea of finding a diversion but due to the nature of the terrain, any bypassing seemed impossible. It had to be over the missing culvert; but what chances was there of making it, he wondered !

Three meters of the road was not there and the car was five meters long. He noticed that there was a gradual climb of one in ten just before the culvert and that the road on the far side was level with the near end of the culvert. He estimated that his car could pick up a speed of atleast seventy two kilometers an hour just before the jump. It occured to him that he could make it. He had been known to be a brave man; moreover the love for his mother inspired confidence.
"It's now or never," he thought and off he went.

Did he make it ?

Fact are facts, Watson !

"As per Inspector Lestrade, the accused house is on the bank of a river which is quarter mile wide and has current of 2 mph". said Dr. Watson

"Don't forget Watson, Just opposite his house, on the other bank, is victims house. The accused can swim across to his house." Sherlock Holmes added.

"But its impossible for him to reach there in less than ten minutes". exclaimed Dr. Watson.

"The fact are, the accused can swims at 2.5 mph in still water and his walking speed also is 2.5 mph."

"Can he do by a combination of swimming and walking?"

The Billionaire Club

Bill Gates, and Warren Buffett were sitting together in the Billionaire Club with 56 and 52 billion dollars respectively. Suddenly Gates hit upon a new idea.

"We'll throw six dice together," he said.
"If we get two pairs I win, otherwise I lose."
"But what about four or more dice show the same digit?" enquired Warren.
"That makes two pairs; so that too gives me a win."
"And if only three dice have the same digit?"
"You win in that case because it does not make two independent pairs."

"Each games of chance will cost 2 Billion dollars to the looser" added Gates. "You want to play?"

Warren, a little confused calls YOU and asks "Who is more likely to win in this scenario?" What will you say ? Assuming they do play, how many games they can play at the least ?

Bob and Betty

"You remember I had bought little Tom, a bat and two balls just last week," said Betty to her husband.

"Yes," said Bob, "we had gone together to the market that day."

"Oh! Ofcourse," exclaimed Betty, "Now Tom has sold them to Bunny. He made 20 percent on the bat but has given away the balls, for which we had paid half as much as the bats, at a loss of 20 percent."

"But, mom, you are forgetting that the balls were worn out," interrupted little Tom. "One could not have made profit on them. Anyhow, I made two dollars on the whole and that should not be too bad."

"Well done, son," said Bob; "business will be your line, when you are young."

How much had Betty paid for the bat and for each ball ?

Fake Records

The Director of Medical Services was on his annual visit to the EENT hospital. He came across the following data for a particular day:

Ear consultations 45; Nose 50; Throat 70; Ear and Nose 30; Nose and Throat 20; Ear and Throat 30; Ear Nose and Throat 10; Total patients 100.

He became very curious and after sometime he commented, "It is no use filling up these registers just before my inspection. You are aware why we maintain these records, and such mistakes cannot occur if these entries are made everyday".

"Sir, I don't think there is anything wrong with the records" replied the Doctor in-charge.

What do you think ?

The Tortoise and the Hare

Little Johnny was not convinced when his teacher said that the hare would finally overtake the tortoise. He remembers the fable from the bed time stories and was sure that the tortoise always wins the race.

"You said that the tortoise was a thousand meters ahead," said Johnny. "Yes," replied the teacher, "but the hare runs ten times as fast as the tortoise."

"That makes little difference, Sir; because by the time the hare covers those thousand meters, the tortoise would have gone ahead by hundred." "That's right."

"While the hare is over with his hundred, the tortoise would have covered ten meters more. When the hare makes up these ten, the tortoise would have managed another meter. By the time the hare covers this one whole meter, the tortoise would be leading by one tenth of a meter. And while the hare is still at it, the tortoise covers another one-hundredth, and so on. I agree the lead is diminishing and if you carry on it may reduce to one-millionth of a meter or even less but the hare will always be lagging behind."

"No, Johnny, that can't be right as by the time the hare covers two thousand meters, the tortoise covers just two hundred meters and would be eight hundred meters behind."

"Well, Sir, let's not jump into conclusions. I have just explained to you the way I look at the problem and it seems logical.

What do you think ? Don't let the fable affect your decision.

Rose-red city half as old as Time

Two professors, one of English and one logic, were having drinks in the local bar. "It is curious," said the professor of literature, "how some poets can write an immortal line and nothing else of lasting value. J. W. Burgon, for example. his poems are so mediocre that no one reads them now, yet he wrote one of the most marvelous lines in English poetry: 'A Rose-red city half as old as Time."

The one devoted to "the science that draws necessary conclusions", improvised a brainteaser, then raised his glass and recited.

"A rose-red city half as old as Time.
One billion years ago the city's age
Was just two-fifths of what
Time's age will be, a billion years from now.
Can you compute
How old the crimson city is today?"
The English professor had long ago forgotten his algebra, so he quickly shifted the conversation to another topic, but you should have no difficulty with the problem, right ?

Miles and Missiles

You are called for the final interview at National Air Force Academy(NAFA). The officer, Sir John Baldwin asks you a single question, which is going to decide your fate.

"Two missiles were shot towards each other. They were 14,600 miles apart when they started. One was moving at 14000 miles per hour and the other at 16000 miles per hour."

"Now listen carefully" he added, "If they collide, that will be the end of the world. You can diffuse them only if you know, how far apart they are one minute before collision. Can you ?"

Sir John paused and added, "Take your time, Sonny."

"If only I had my pencil, paper or calculator." You were thinking.

So, did you passed the test ?

Elementary, my dear Watson !

Sherlock Holmes and Watson were on a motorboat going downstream.

They overcame a raft at waterloo junction, an hour later they turned back* and after sometimes, passed the raft again, which was now six miles from the waterloo station.

"You know, what the velocity of the stream is?" said Sherlock Holmes.

"That is quite impossible to find Holmes" Watson exclaimed.

"Elementary, my dear Watson !" and then he explained how easily he can calculate the velocity of the stream just by knowing the fact that velocity is equal to distance divided by time.


It may be elementary for Sherlock Holmes, but can you ?


* assume the motorboat is in constant speed and no time was spend on turning the boat

Ina Meena Dika

Mr. Tito collecting data for census came across a house with three sisters Ina, Meena, and Dika. There were no straight answers when he enquired about their ages. This is what he was told

Ina said "All of us are above 24 years of age, Dika is the youngest, and ofcourse I am the eldest."

"The difference between Dika's age and mine is three years and the sum of my age and Ina's age is two more that twice Dika's age" told mathematician Meena. I am eldest if and only if Dika is not the youngest, she added.

Dika was more "clear" than others , she said "Meena is elder to me" and "Either I am 24 years old or Ina 25 or Meena 26" She added one more piece of vital information "Meena is not 27 years old"

To add to the confusion, Mr. Tito was told by a neighbour that one of the sister always lies and the other two always speak the truth. Can you help him find the ages?

The liar, the witch & the truthteller

The unique town you came for an interview has all either liars or truthtellers , who seems to know each other. The Interviewer told you one more bizaare fact about the town that if a strangers asks more than one question in this town he is killed. He also tells you that, there are some wicked witches who sells poisonous food in town.

While coming back you were hungry and stopped in a food booth but you cannot make sure if the old lady sitting there is a witch or not ?
What will you do ?

Dots and planes

Five dots are arranged in space so that no more than three at a time can have a single flat surface pass through them.


If each group of three dots has a flat surface pass through it and extend an infinite distance in every direction,



What is the maximum number of different lines at which these surfaces may intersect one another?

Alice and Bob

Facts

There are 2 mysterious integers A and B and two logicians Alice and Bob. Both integers are greater than 1 and less than 101. Alice is told the product of two and Bob knows the sum. Neither is told the values.

Conversation

Bob: I cannot determine a, b
Alice: I too cannot determine a, b
Bob: I already knew that.
Alice: In that case, I now know them
Bob: In that case, I too now know a, b.


How is this possible?

btw Happy thanksgiving

Wine bottle puzzle !

You are a logician turned mad scientist,and decide to have a Party ONE MONTH from today. You have one thousand bottles of wine. Suddenly, you remembered about a "small" experiment you did, which POISONED one of the wine bottle. Ofcourse you don't remember which one.

The poison takes a LITTLE Less than a month to take effect.

You have a LOT of "guinea pigs" at your disposal. The puzzle is to find the SMALLEST number of rodents that must drink from the bottles to find the poisoned one?

HINT: There is one !

Million dollar question

A logician puts 10,000 dollar in a Weekly trading scheme.

-> About half the time, He makes an 80% gain.

-> The other half, he makes a 60% loss.

One year later, how much money he will have ?

a> 1.95
b> 14,000
c> 140,000
d> 1.4 Million
e> 131 Million

No Marks without explaination !

And then there were none ?

Three doctors and three patients are traveling together through a jungle when they come to a river.

All the patients have a unique kind of fever which will infect the doctors if at any time the number of patients are more than the number of doctors.

The largest boat available can carry only two people at a time.

The doctors are immune if at any side of the river the body count of doctors are equal or greater than the numbers to patients. otherwise, the doctors gets infected. The doctors can only save the patients if they all reach together safely otherwise, "And then there were none" would be appropriate to say.

Time is running out. How will YOU save everyone's life ?

Not a Rubik's cube

Here is a problem to stretch your mind.

• You have a CUBE of dimension 1 inch x 1 inch x 1 inch
• You put the cube in x, y, z plane such that the coordinates of the cube is (0,0,0) and (1,1,1)

Now listen carefully

• You cut the cube at three places
• i> x=y , ii> y=z and iii> x=z

"You" are doing all the work , now you give the answer to the puzzle..

How many parts you cut the cube ?

Infidelity kills

There is this weird self sufficient island away from our nice world. There's a custom in this island which requires a woman to kill her husband the morning after she discovers that he's having an affair with another woman.

It also happens that every woman KNOWS whether EVERY other man is having an affair or not except her own husband. The Qeer thing is they are NOT suppose to talk to each other about this point. And ofcourse some men in the island ARE having affairs with the wives of other men. So life in this island goes on peacefully since no woman can know for sure that her own husband is cheating on her. Unfortunately, an Oracle visits the island one day and proclaims that at least one man in this island is having an affair.

Question: WHAT HAPPENS AFTER THIS ?

* The interesting thing about this problem is on a first reading the Oracle's info no useful information in the island that has more than one unfaithful man

Got money, got 7 sons !

An old Man has some savings X.

He has 7 sons.

When he divides the Money equally between two sons one dollar is left

If he divides between three sons equally then too one dollar note is left

Similarly if he divides it equally between four, five and six sons, one dollar is left.

BUT if he divides it between seven sons equally then nothing is left.

And the obvious question is, how much money he had in the savings ?

"Two Job Offers" Puzzle

Now assume you're so brilliant, that you get job offers usually reserved for the Mensa guys which is the 98th percentile of the current population taking the test.

You've got two offers on hand.

One pays $ 180,000 per year with an annual increment raise of $ 20,000 while the other also pays the basic $ 180,000 per year with a guaranteed $5,000 raise every six months.

you have 30 seconds to decide, which one should you take if you're not actually a schmuck deep down?

The "Impossible" Puzzle

This puzzle is for those who are aware of the "Mock Turtle"

This is the story of a squid called Sebastian, who ran out of ink. He called his friend, Archibald, who was an octopus, and asked him to buy some more Ink from the printers. So along went Archibald. "That will be 67 pence," said the shopkeeper, as he handed over the bottle of sea blue Ink. Archibald got out his wallet, counted out the money, and handed it over.

But at the end of the day, when the printer counted up his change, he found he was short by 12 pence. "I've been robbed," he cried! A Mock Turtle from the local constabulary was called in, but entertained grave doubts as to whether Archibald really was a thief. "I was at school with the old fellow," he said, "and he never could get the hang of different branches of Arithmetic."

As everyone knows, the different branches of Arithmetic are Ambition, Distraction, Uglification and Derision.

But was the Mock Turtle right about Archibald? Or is his information just a red herring?

Editor's note: There are indeed some red herrings


* And yes Archibald is not a thief

OT: if you are interested in Mock Turtle's story follow

Sheeps and Three sons

A guy is owner of a certain number of sheeps for god's sakes and also the father of three sons who for some reason are expert logicians. So here comes the question.Clever as you are will think to yourself, now all this guy needs is to believe he's about to die so that he can make a will to divide the sheeps among the sons, right? Right, Except He calls them together (the sons, not the sheeps) and tells them how many sheeps (not sons) he owns AND Adds that

1. The eldest will inherit the most sheeps
2. The youngest the least
3. Nobody having more than 10 sheeps, which as we all know is a crime.
4. He then whispers in each son's ear how many sheeps he personally will inherit.

After that he proceeds from the eldest to the youngest, asking each ALOUD if he can calculate how many sheeps each of his brothers will inherit and each replies, "NO". He does it again and again each replies, "No" But then the eldest son on being asked the question once more says, "Yes, each of the last two 'noes' (that's the plural of 'no') gave me some information, and I now know (no plural of 'knows') how many sheeps each of us will inherit." What's the bet you're already wondering how may sheeps each son will get?

QUESTION IS HOW MANY SHEEPS EACH ONE WILL GET ?

* NO POINTS WITHOUT EXPLAINATION