Who is the cheater

Shadow went over to Mrs. Sam's house to borrow something.
Before he knocked on her door, he heard Mrs. Sam crying, "Graham, you cheated!"
Puzzled, he knocked on her door and she came out.
He told her he needed something and she let him in,
telling him that "My husband will be back soon with it. I'm playing some cards with some people. Here, let me make a quick introduction:
This is my plumber,
this is my mailman,
and this is my technician."

Right then Shadow knew who Mrs. Sam accused of cheating.

Who is the cheater and how did Shadow knew?

- James Yu

Lateral Thinking

A man is dying and the attendence was there to help him.
He was constantly bleeding to death,
and the attendence tried to take off his shirt to treat the wound.
But he couldn't either unzip nor unbutton his shirt.

Why??

-James Yu

Hair Problem

What is the probability that, at least two people in the world have exactly same number of hairs ?

Tom, Dick and Harry

Tom, Dick and Harry are in prison. One of them has been randomly selected to die in the morning, and the other two will be set free. Their guard knows which one will die, but none of the prisoners does. The guard is under strict instructions not to divulge the identity of the doomed man.

Tom is desperate for any information beyond the fact that his probability of death is one in three. He begs the guard to throw him an informational bone. Finally, to shut him up, the guard agrees to reveal only the following: the name of one of Tom's fellow prisoners who will be set free rather than killed. The guard then says that Dick will be set free.

After receiving this information from the guard, what is the most accurate calculation Tom can make of the probability that he is the doomed man?

Thanks for your time
-- Josh Mudie

Triangle Trio

There are three Triangles which has integer sides and whose perimeter is equal to the area. The only other information about them is they are not right triangles.

Can you find them ?

Birthday Puzzle

Bob and Betty has five children - Polly, Jolly, Molly, Lolly, and Dolly

Eldest Polly is born on 1st of January. Next is Jolly, born on 1st of February. 1st of March is again the scene of birthday celebration in their house. What is the probability of it not being that of molly's ?

Oh yes the sum of the ages of the five children equals product of their ages.

The Value

1¹⁰+2¹⁰ +3¹⁰ +4¹⁰.... +1000¹⁰ = ?

Believe it or not famous Mathematician Jakob Bernoulli determined the value in less than 10 minutes.

How long will you take ?

Through the Playing Card

Bill Gates wagers Warren Buffet 1 million dollars that he can cut a hole in an ordinary playing card and step right through it. As Warren's financial advisor, would you suggest him to bet ? Or What explanation can you give him ?

Bill Gates and Warren's old adventure here

T, V or Y

A wire is tied between two trees at distance D, and the ends are at a common height above ground. A weight is suspended midway between the trees at distance 'd' below the height at which the ends are attached to the trees.

Which configuration -- T, V or Y-shaped will minimise the total length of wire needed?

Areas of Circles

There are 3 congruent circles inscribed into an equilateral triangle. If one of the sides of the triangle is 6+2 long, what’s the sum of the areas of the 3 circles? Express in terms of pi.




-- James Yu

From A to B

How many ways are there to get from point A to B? No overlaps and don’t have to touch all the lines



-- James Yu

Horse Racing

There is a Horse Track that's betting station has the slogan of "We'll take any bet".

A man is down on his luck, but he is very smart, so he decides to go to this Horse Track to try and make some money.

When he gets there, he sees this slogan and comes with an idea on what to be on.

The question is, what does he put his money on?

Seven Seconds

Millions of lives will be affected.

Eight men decide.

What is at stake?
When did it happen?

Listen Carefully

There are 12 in the front, there are 12 in the back, and there are 4 in the middle. How many are there total?

- James Yu

Black Light

Why don't we have black light? A torch with black light will give a black beam. It will darken the surface of whatever object it strikes. What prevents us from doing this? Or is it not possible at all?

- Hitendra Joshi

0.767676... = ?

What is the EXACT value of the infinte series 0.767676.... ?

No approximations, please.

Box illusion

Which box is darker ? Why?

As far as the eye can see

The Earth has a radius of 4000 miles. You are standing on the shore line and can see the horizon with your eye's that are at a height above the water of 5 feet, 3.36 inches.

How far is the horizon from your eyes?

Keyboard Question

Why is our keyboards "QWERTY" and not "ABCDE" ?

King and the Goldsmith

King had given a goldsmith some gold and asked him to make a wreath from it. When the goldsmith finished the wreath, he suspected the crafty goldsmith had pocketed some of the gold and replaced it with some cheaper metal. Yet the wreath weighed exactly the same as the original gold.

How could the fraud be proven ?

Answer to Life, The Universe, and Everything

42 - The Answer to Life, The Universe, and Everything. We all know (now) that this is from the famous book by Douglas Adam's 'Hitchhikers Guide To The Galaxy'. This answer was given by supercomputer Deepthought.

Assume that this is correct, can you think of a creative way to justify this answer.

42 !  How ? Why ?

Word Shift

Very few people know that Dr. Watson, companion of the famous detective Mr. Sherlock Holmes had a secret passion for words and practically invented the Word Shift* game for the first time, or so I think.

Here are two gems from the WORD SHIFT  game.

SPOT -> CLUE
SEEK -> FIND

* Shift one letter making meaningful words at each step.

42

"42 - The Answer to Life, The Universe, and Everything"

Source?

Musical Instruments

GROAN
PRESENT
ARTIST
MARASCHINO

Find !

Vertical Velocity

A stone is thrown vertically upwards so as to reach 10 meters height in 10 seconds.

Now the question is not so simple, think! the velocity, with which the stone should be thrown to attain the same height in half the time will be more than the first velocity or less than the first velocity? What will be the required velocity?

Fancy Window

Ok, how many began figuring out the 68 inch string problem? Ok, it was a joke. Now for the real problem. (change the circle to a semi-circle with a diameter equal to one side of a rectangle)

Joan's house has a window in the shape of a rectangle surmounted with a semicircle. For a given total perimeter of 268 inches, what are the dimensions of the window if it allows the maximum amount of light?

Hint: Remember the 68 inch string solution?

68 inches of string

Divide the 68 inch string into two parts. With one
part make a square figure, the other make a circle.

What are the length of two parts of string that will
maximize the sum of the figure's area.

Warning: This one is pretty messy.

Triangle Trick

How can this be true ?


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Wood Beam

The strength of a wooden rectangular beam varies jointly as the width and the square of its depth. Which rectangular beam that can be cut from a circular log of radius 10 inches will have maximum strength?