POTD
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A new and easy puzzle: (1) My wife and I went to a dinner party with four other couples. At the beginning of the party, some people shook hands. (Obviously, no one shook his or her own hand or spouse's hand, and no one shook hands with the same person twice.) During the party I surveyed all the other people as to how many hands each one shook. I got different answers from everyone. What did my wife say? ----------- (2) There are two lengths of rope. Each one can burn in exactly one hour. They are not necessarily of the same length or width as each other. They also are not of uniform width (may be wider in middle than on the end), thus burning half of the rope is not necessarily 1/2 hour. By burning the ropes, how do you measure exactly 45 minutes worth of time? ------------ (3) Given five zeroes, using any mathematical operations, can you make a total of 120? [Parentheses unlimited] ------------ (4) Can you replace the letters in the multiplication sum below to make a valid calculation. Each letter represents one number only and each number is represented by only one letter: TWO TWO * ----- THREE Can you solve all of this ?:-D
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(2) You start by burning one rope from both sides and the other rope from one side. After 30 minutes, the first rope will have burnt down completely, and the other rope has 30 minutes left to burn. When you now start burning the other side of the second rope, the second rope will have 15 minutes left to burn, so you get a total of 45 minutes. (3) (0! + 0! + 0! + 0! + 0!)!
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I'll take just the shortest one ;)
LongHC wrote:
(3) Given five zeroes, using any mathematical operations, can you make a total of 120? [Parentheses unlimited]
(0!+0!+0!+0!+0!)!
"Throughout human history, we have been dependent on machines to survive. Fate, it seems, is not without a sense of irony. " - Morpheus "Real men use mspaint for writing code and notepad for designing graphics." - Anna-Jayne Metcalfe
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138 * 138 = 19044 Just 5 lines of code revealed 7 possibilities. Of this other 6 are ruled out. for (int i = 100; i < 999; i++) { int res = i * i; if (res % 10 == (res / 10) % 10 && res / 10000 == i / 100) Console.WriteLine(i + " * " + i+ " = " + res); } 100 * 100 = 10000 110 * 110 = 12100 112 * 112 = 12544 120 * 120 = 14400 130 * 130 = 16900 138 * 138 = 19044 140 * 140 = 19600 ;););)
Regards, Arun Kumar.A
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A new and easy puzzle: (1) My wife and I went to a dinner party with four other couples. At the beginning of the party, some people shook hands. (Obviously, no one shook his or her own hand or spouse's hand, and no one shook hands with the same person twice.) During the party I surveyed all the other people as to how many hands each one shook. I got different answers from everyone. What did my wife say? ----------- (2) There are two lengths of rope. Each one can burn in exactly one hour. They are not necessarily of the same length or width as each other. They also are not of uniform width (may be wider in middle than on the end), thus burning half of the rope is not necessarily 1/2 hour. By burning the ropes, how do you measure exactly 45 minutes worth of time? ------------ (3) Given five zeroes, using any mathematical operations, can you make a total of 120? [Parentheses unlimited] ------------ (4) Can you replace the letters in the multiplication sum below to make a valid calculation. Each letter represents one number only and each number is represented by only one letter: TWO TWO * ----- THREE Can you solve all of this ?:-D
As dnh and Daniel Grunwald got it for the 2 and 3, also Arun.Immanuel get the last one right. 1- Not answered yet 2-
Daniel Grunwald wrote:
You start by burning one rope from both sides and the other rope from one side. After 30 minutes, the first rope will have burnt down completely, and the other rope has 30 minutes left to burn. When you now start burning the other side of the second rope, the second rope will have 15 minutes left to burn, so you get a total of 45 minutes.
3- (0! + 0! + 0! + 0! + 0!)! = 120 4- 138 * 138 = 19044 as Arun got it, and he made a good program for it.;) Program here.
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As dnh and Daniel Grunwald got it for the 2 and 3, also Arun.Immanuel get the last one right. 1- Not answered yet 2-
Daniel Grunwald wrote:
You start by burning one rope from both sides and the other rope from one side. After 30 minutes, the first rope will have burnt down completely, and the other rope has 30 minutes left to burn. When you now start burning the other side of the second rope, the second rope will have 15 minutes left to burn, so you get a total of 45 minutes.
3- (0! + 0! + 0! + 0! + 0!)! = 120 4- 138 * 138 = 19044 as Arun got it, and he made a good program for it.;) Program here.
I'm probably being daft by not realising #1 is a joke....!? My guess is she said: "Soemone can'r count!" If you went with 4 other couples there are 10 people in all; if you surveyed everyone else in the room (9 people) and got different answers from each, those answers must have been 0 to 8 inclusive (can't include 9 as no-one shakes hands with their spouse) - but whoever claims to have shaken 8 hands must have shaken hands with everyone apart from their spouse, one of whom said they hadn't shaken any hands... My head hurts... Fred
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I'm probably being daft by not realising #1 is a joke....!? My guess is she said: "Soemone can'r count!" If you went with 4 other couples there are 10 people in all; if you surveyed everyone else in the room (9 people) and got different answers from each, those answers must have been 0 to 8 inclusive (can't include 9 as no-one shakes hands with their spouse) - but whoever claims to have shaken 8 hands must have shaken hands with everyone apart from their spouse, one of whom said they hadn't shaken any hands... My head hurts... Fred
:-D:-D:-D
Fred_Smith wrote:
one of whom said they hadn't shaken any hands...
Therefore that person must be his wife.;P
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:-D:-D:-D
Fred_Smith wrote:
one of whom said they hadn't shaken any hands...
Therefore that person must be his wife.;P
Yeah well I was just about to say that! Except... a wife goes to a dinner party and doesn't shake anyone's hand?! Come on... now if you'd said "My husband I went a party... what did my husband say?" it would have been easy! F :)
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A new and easy puzzle: (1) My wife and I went to a dinner party with four other couples. At the beginning of the party, some people shook hands. (Obviously, no one shook his or her own hand or spouse's hand, and no one shook hands with the same person twice.) During the party I surveyed all the other people as to how many hands each one shook. I got different answers from everyone. What did my wife say? ----------- (2) There are two lengths of rope. Each one can burn in exactly one hour. They are not necessarily of the same length or width as each other. They also are not of uniform width (may be wider in middle than on the end), thus burning half of the rope is not necessarily 1/2 hour. By burning the ropes, how do you measure exactly 45 minutes worth of time? ------------ (3) Given five zeroes, using any mathematical operations, can you make a total of 120? [Parentheses unlimited] ------------ (4) Can you replace the letters in the multiplication sum below to make a valid calculation. Each letter represents one number only and each number is represented by only one letter: TWO TWO * ----- THREE Can you solve all of this ?:-D
LongHC wrote:
What did my wife say?
0. Women don't shake hands. They hug and peck. Marc
People are just notoriously impossible. --DavidCrow
There's NO excuse for not commenting your code. -- John Simmons / outlaw programmer
People who say that they will refactor their code later to make it "good" don't understand refactoring, nor the art and craft of programming. -- Josh Smith -
LongHC wrote:
What did my wife say?
0. Women don't shake hands. They hug and peck. Marc
People are just notoriously impossible. --DavidCrow
There's NO excuse for not commenting your code. -- John Simmons / outlaw programmer
People who say that they will refactor their code later to make it "good" don't understand refactoring, nor the art and craft of programming. -- Josh Smith