The Secret Password

A man wants to enter a private club, but the main door is guarded by a doorman who only lets people in who know the right password. The man hides in the bushes near the door and listens.

One patron approaches the doorman, who says, "12."
The patron replies, "6," and the doorman lets him in.

Another patron approaches the doorman who says, "6."
The patron replies, "3," and the doorman lets him in.

Thinking he has the code figures out, the man approaches the doorman.
The doorman says, "8," and the man replies, "4."
"I'm sorry sir," the doorman says, "This is a private club and only members are allowed."

What did the man do wrong?

Posted by Sammy's Dad on October 14, 2008.

Poor Farmer

"You have four straight fencing of one yard, two yards, three yards, and four yards", "What ever area you can enclose in those four will be yours" said the King. The poor Farmer, if only he had listened to his maths teacher could have maximized this opportunity. Luckily he came to ToM. Now only YOU can help. Will you ?

* Assume: Nothing

MatheMagic

Which number when reversed and squared will give its own squared value in reverse.

If the wrong answer is one what is the right answer ?

Run Cat Boss

If 44 + 7 = RUN and 6 + 85 = CAT and 5 + 76 + 16 = BOSS

What does 35 + 33 + 6 equal ?

Mysterious Six

In mathematics the number six can be achieved by using any number three times with mathematical expressions.

1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

Let me do one for you , 2 + 2 + 2 = 6. Now can you try the rest ?

Incomplete Equation

A^x = A⁵

then x = 5. This is incomplete ?

Silverfish on Diet

Silverfish found a wooden cube this time*. He starts crawling from one corner of the cube, and,  confining himself to its edges, which are all exactly one cm long, crawls as far as he can without retracting any part of his path.

How far does he crawls?

* Silverfish old adventure

Last Year

What was the last year in which someone could have been born, in order to live in a year which was the square of their age ?

Fair Enough

Two brothers had a flock of sheep which they sold getting as many dollars, for every sheep as there were sheep in the flock. Intending to share the amount equally, the older brother and then the younger brother, took from it $ 10 each, alternately in succession.

At the last stage, when it was the turn of the younger brother, there remain less than $ 10. the younger brother took this amount and the elder one gave him his new knife for the sharing to be fair.

Now ! YOU tell me, What's the question to be asked, and what is the Answer?

Square in Rubik's Cube

How many squares can you perceive in a Rubik's Cube and how many of them are visible ?

By perceive, I mean you can assume a square, if you can join four co-ordinates to form a square.

A.B. and C.

AABB = CC²

???

* No marks without explanation

Einstein's Sphere

An Incredible Sphere was found in the laboratory of Einstein. A cylindrical hole, 6 inches long has been drilled through the center of the solid sphere. Remaining volume of the sphere was needed to solve the puzzling equation, written on the black board.

Can you help?

Cosmic Addition

If (Venus + Earth) x Neptune = 40 ,

How much is (Jupiter - Mercury) x Pluto ?

Books and Dates

An Author writes a book every two years. when his seventh book is published, the sum of the years in which they were all published is 13,804. In which year were his seven books published?

The wrong answer is : It cannot be found !

Stepping Stones

Four stepping stones one ft square were placed in a row, in a section of garden, with equal spaces on all four sides of each.

What can be the smallest dimension of the section?

On Arriving Early

Bob always arrives at the train station at exactly five o'clock to pick up his wife Betty and drive her home. One day Betty arrives an hour early, and starts walking home, and is eventually picked up. Betty arrives home twenty minutes earlier than usual.

How long did she walked, before she met her husband ?

Miles per Hour

If an electric train is going west at sixty miles an hour and the wind is blowing from north at thirty miles an hour, in which direction will the smoke from the engine blow and, at what Miles per Hour ?

A Little Trigonometry

Find the angle , one who get it fastest wins :)

Notorious Tank Problem

The notorious Tank Problem that one finds in every single collection of arithmetical and algebraic problems. No doubt, you all remember those classic scholastically dry problems of this order:

"The tank has two pipes -- one leading to fill the tank to the brim and the other out. the first needs five hours to fill the tank and the second ten hours to drain it dry. How long will it take the tank to fill up when the stop cocks are out of both pipes ?"




This problem has a venerable history, dating right back some twenty centuries to Heron of Alexandria. Here is one from his collection for your free time in the weekend.

Four Fountains are there and a reservoir vast.
In but one day the first doth fill it to the brim.
The second two days and nights must play to do the same.

The third takes thrice the time as did the first.
The fourth comes last with four days and nights.
Now tell me when the reservoir will fill,
when all four play at once.



It is two thousand years now that the tank problem has posed and -- such is the force of habit ! -- has been solved wrongly in all this time.

Chance of a Century

What are the chances that the first day of the new century is a working day?

Triangle Trivia

You have a normal paper in which a triangle is inscribed.



For a circular piece of paper, the lines along which you can fold it "in half" (with half the area on each side) are precisely the lines through the center. Triangles are different and folding it exactly in half won't be that easy, even for an expert geometrician like you, would it ?

Do let me know how you do it, and don't assume anything !

2 + 2 = 2 x 2

Simple and unique equation !

Can you tell any similar equations, involving two or more numbers on each side of the equation?

One would be 1/1/1 = 1 * 1 * 1

Beautiful Geometry

Sir Ramanujan said "The sides of the triangle is given. You have to find out the radii of the three circles inside the triangle, the three circles touches each other as well as each touches two side of the triangle as shown in the figure."



Take a = 507,
b = 375 and
c = 252

"You have got all of the weekend and the week after to solve the problem"

Can you ?

Cattle Case

An old farmer died leaving three sons. He bequethed the first son half of his cattle, the second one third and to the third son one ninth.

He had a total of 12 cows and 5 buffalows ! Can you solve the case ?

Odd Sequence

8, ?, 4, ?, 1, ?, 6, ?, 2

Add some odd numbers to make the odd sequence logical (pun intended)

Coin confusion

How can you arrange 10 coins into 5 rows of 4 coins each?

Coin Conundrum

The chances of a tossed coin falling head or tails is almost 50-50 with an extremely small chance of it falling on its edge.


How will you make a coin so that it has a probability of 1/3 to fall heads, 1/3 to fall tails, and 1/3 on its edge?

SUM of the Series

Will the SUM of the following series ever reach 100 ?

1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 . . .

Rendezvous

A Car in Los Angeles starts toward San Diego on I-5 South at 40 miles an hour. Fifteen minutes later a motor bike in San Diego starts towards Los angeles on I-5 North - 120 miles away - at 55 miles an hour.

Which vehicle is nearest to Los Angeles, when they meet ?

Number Story

The first digit will tell you how many zeroes are there in the story, the second digit will tell you how many one's are there in the story and so on.

How long your story can be and what's the story ?

Clock Chime

A tick-tock clock chimes every hour on the hour, and once each quarter hour in between. If we hear it chime once, what is the longest we may have to wait to be sure what time it is?

Wrong Number

Thirteen percent of the people in San Diego have unlisted phone numbers. You select three hundred names as random from the phonebook. What is the expected number of people who have unlisted numbers?

TomWebUser's Allowance

Tom was given his allowance last week, which is meant to last him all week. On Monday, he spent a quarter of his money on gambling. On Tuesday, he spent one third of the remaining money on games. On Wednesday he spent half of his remaining money on paying his bookie. Finally on Thursday he spent my last $1.25 on an adult magazine. How much allowance did he receive?

The A to G puzzle

Work out the numbers of A to G if...

A+B+C+D+E+F+G=340
3A+7B-4C-13D+E-6F+2G=219.25
2A-7B+9C-4D-3E+2F+3G=82
ABC=21,150
DE=1225.25
FG=3,145
BDF=11,544

Also C is the smallest number, and E is the biggest number. F is the middle number.

~Alexander

Minutes To Noon

How many minutes is it before 12 noon, if 55 minutes ago it was four times as many minutes past 9 AM.

Silverfish Strikes Back

Silverfish gets this time into a sphere of radius 31 mm and digs a tunnel of total length 61 mm.

Can you cut the sphere with a straight slice through the center so that one of the two halves is not in the tunnel area?

* The tunnel need not be a straight line. Here is one old adventure of Silverfish

The "Chess" Family

Viswanathan Anand, his sister, his son, and his daughter are chess players. The following facts refer to the people mentioned:

1. The best player's twin and the worst player are of opposite sex.
2. The best player and the worst player are of the same age.

Which one of the four player is the best player ?

Alex, Bob and Charlie

"The three of us made some bets.

First, Alex won from Bob as much Alex had originally next Bob won from Charlie as much as Bob then had left finally Charlie won from Alex as much as Charlie then had left. We ended up having equal amounts of money, I began with $ 0"

Which one of the three Alex, Bob, or Charlie is the speaker ?

The train to clarksville

Mr. Moody grumbles about bad time-keeping trains from morning till night!.
On one particular morning he was quiet justified.
His train left on time for the one hour journey, to Clarksville, and it arrived 5 minutes late.
However, Mr. Moody 's watch showed it to be 3 minutes early, so he adjusted his watch by putting it forward 3 minutes.
His watch kept time during the day, and on the return journey in the evening the train started on time, according to his watch, and arrived on time, according to the station clock.
If the train travelled 25 percent faster on the return journey than it did on the morning journey, was the station clock fast or slow, and by how much?




as always by world pride

Junior Einstein

Further eating the Alphabet Soup, Junior Einstein came up with another cool calculation.

   A B
   C D
   E F
   G H
---------
 I I I

You know which digit among 0-9 is missing here ?

Thats a lot of squares

if you have a 20x20 grid, how many boxes in TOTAL would you get?
thats including all sizes...

Alphabet Soup !

When the junior Einstein saw a series of G along with the following alphabets in his soup.

   A B C D E
           F
 -----------
 G G G G G G

His mind created an amazing calculation. If you would have known the
operation, you might have known the numbers which each alphabet
represent. Don't you ?