Open Top Box

An open box with a square bottom is to be cut from a piece of cardboard 10 feet by 10 feet by cutting out the corners and folding the sides up.

Find the dimensions that will result in the largest volume.

Suger Cube

If you burn a sugar cube, Will it burn with flames or will it melt ? Why ?

Geometry and the Globe

You draw two circle one in a plain paper and the other on a north pole, with the pole as a center. Which circle will have a bigger area and Why ?

Plane and Space

Visualize !
One plane divides space into two parts. Two planes passing through a point divide space into four parts. See it with your two palms as two planes.

The question is to find out, How many parts three planes passing through a point divides the space ? What about four planes ?

Temperature Twist

"What's the temperature in Fahrenheit, required for the chemical reaction?" asked the student.

"Its a two digit number in Celsius and if you switch the place you get the temperature in Fahrenheit" explained the professor.

"That is still ambiguous !" said the student.

"You are smart ! Choose the pair with more evens !"

Toaster Ovens

A small-appliance manufacturer finds that it costs $9,000 to
produce 1000 toaster ovens a week and $12,000 to produce
1500 toaster ovens a week, and $21,000 to produce 3500.
How many toasters per week would they need to produce
for the average unit cost to be $4.00?

Birth Date

Suppose there are 40 students in a class, and suppose they are all born in the same year. What are the chances that two students have same birth date ?

Beer Barrel

A dealer used to sell local beer using a cylindrical barrel of radius 10" and length 40". One day the barrel got broken. He found another barrel of similar dimension, radius was 40" and length 10".

"Wow ! what a coincidence I don't have to buy a new barrel now. I can use this one without changing anything," He thought.

Can he?

Clock Work

When Sylar opened a clock to service, he saw that the big wheel has 21 teeth and the small one 7 teeth. He immediately knew how many times it takes for small wheel to rotate to circle around the big wheel. Do you ?

* Can you believe there is a standard formula for this !

Mysterious Dancer

The dancer is turning clockwise or anti-clockwise?

Square Sum

Do you know that no natural numbers having more than one digit is equal to the sum of the squares of its digits. But there are natural numbers which are equal to the square of the sum of its digits.

Can you think of one, which is greater than 9 ?

Trivia

1. Where does the word `goodbye` comes from?

2. Why was James Bond Associated with the Number 007?

3. What does YAHOO stands for?

4. What does ADIDAS stand for?

5. What does "baker's dozen" signify?

6. Which is the only country that is surrounded from all sides by only one country (other than Vatican)?

7. Which is the only sport which is not allowed to be played left handed?

- Fardin

Beer Bill

A group of friends stopped by the local pub for some beers. They decided to put charges on one bill. After a short time, two of the friends had to leave in a hurry and didn't leave their portion of the bill. The Total of the bill was $63. One of them said "Everyone throw in two dollars extra and we will have the bill covered exactly."

How many people were originally in the group ?

Fifty Cents

A drink machine has three options Coke, Pepsi and Random. Each drink is fifty cents. A friend tells you that the machine is faulty and that the buttons are never correct.

How much money would you need to spend to know which buttons deliver which drinks?

When does it happen?

When is it, when the moon is in the seventh house and Jupiter aligns with Mars?

Boat Ride

How far can Wul Laker row into the Wular Lake ?

Shortest Time

A man is on an island which is 4 miles from the nearest point on a straight shoreline. He wishes to go to a house which is 12 miles from this nearest point. If he rows at 3 miles per hour and runs at 5 miles per hour, find the shortest time to reach the house.

If the quickest time is achieved when x =3, how much time does he waste if he lands at x =2 or x =4?

Peacock Problem

If Mr Browns peacock lays an egg in Mr Greens garden who does the egg belong to.

-Jasmine Cullivan

Square Root till Infinity

SQRT(x + SQRT(x+SQRT(x+SQRT(x+...)))) = x

What is x ?

No Ears No Arms

It has a face, but no ears
Does sounds ghastly, but there is nothing to fear
It has hands, but no arms
Wait, don't worry, It mean no harm.

Missing Link

Missing Link is the word which is somehow related to both the words on both sides.

For example HAND_ _ _PIPE, the missing link can be BAG.

See how many missing links can you find ?

FOOT_ _ _ _SHOP
BACK_ _ _ _BELT
TREE_ _ _KNOT
HAIR_ _ _BOARD

Yin and Yang

Yin and Yang is one of the world's oldest religious symbols. 



Do you know there is an elegant way of drawing one straight line across the circle so that it exactly bisects the areas of the Yin and Yang?

Poison Apple

if there is 5000 apples and one apple is poison and you have 20 poison testers. you have 3 weeks to find out which apple is poision and it takes 1 week for the poision to kill you. how do you find out which one is poision?

-Tommy

Happy New Year

Wishing you all a very Happy New Year 2009 !

ToM's resolution for new year is to find the toughest problem in the neck of the galaxy to baffle you all. What is Yours ?



* ToM was created by Deneen Jardstam on the Draw ToM contest. Submit Your ToM Here

"Easy" One

Can you Join Seven spots by drawing straight lines, such that each spot is joined to all others and no lines intersect ?

Man in the Mask

The man is afraid to go home cause of the man in the mask. Why?

--- Foregotten ---