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Sun King



Registered: 02/15/14
Posts: 4,069
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I have my supercomputer working on it.
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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Quote:
DividedQuantum said: PROBLEM #27
Quote:
In the United States, at least eight coins are required to make the sum of ninety-nine cents: a half-dollar, a quarter, two dimes, and four pennies. Imagine yourself the leader of a small, newly independent nation. You have the task of setting up a system of coinage based on the cent as the smallest unit. Your objective is to issue the smallest number of different coins that will enable any value from one to one hundred cents (inclusive) to be made with no more than two coins.
For example, the objective is easily met with eighteen coins of the following values: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90.
Can you do better? Every value must be obtainable either by one coin or as the sum of two coins. The two coins need not, of course, have different values.
With as few as 16 different coins, one can express any value from one cent to one hundred cents as the sum of no more than two coins. The coins are 1, 3, 4, 9, 11, 16, 20, 25, 30, 34, 39, 41, 46, 47, 49, 50.
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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PROBLEM #28
Quote:
"Feemster owns more than a thousand books," said Albert.
"He does not," said George. "He owns fewer than that."
"Surely he owns at least one book," said Henrietta.
If only one statement is true, how many books does Feemster own?
-------------------- Vi Veri Universum Vivus Vici
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deff
just love everyone



Registered: 05/01/04
Posts: 9,406
Loc: clarity
Last seen: 36 minutes, 51 seconds
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the second statement is correct as he owns no books ?
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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Re: mathematical brain teaser thread [Re: deff]
#22373024 - 10/13/15 12:02 PM (8 years, 3 months ago) |
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-------------------- Vi Veri Universum Vivus Vici
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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PROBLEM #29:
Quote:
A six-story house (not counting the basement) has stairs of the same length from floor to floor. How many times as high is a climb from the first to the sixth floor as a climb from the first to the third floor?
-------------------- Vi Veri Universum Vivus Vici
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deff
just love everyone



Registered: 05/01/04
Posts: 9,406
Loc: clarity
Last seen: 36 minutes, 51 seconds
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two and a half times ?
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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Re: mathematical brain teaser thread [Re: deff]
#22373060 - 10/13/15 12:08 PM (8 years, 3 months ago) |
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-------------------- Vi Veri Universum Vivus Vici
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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PROBLEM #30
Quote:
Fill a 3x3 matrix (like a tic-tac-toe square) with nine letters to form ten words that can be read left to right, right to left, up or down, and in either direction along the two diagonals.
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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Quote:
DividedQuantum said: PROBLEM #30
Quote:
Fill a 3x3 matrix (like a tic-tac-toe square) with nine letters to form ten words that can be read left to right, right to left, up or down, and in either direction along the two diagonals.
T E A U R N B A Y
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CosmicJoke
happy mutant



Registered: 04/05/00
Posts: 10,848
Loc: Portland, OR
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tea, urn, bay, tub, era, any, but, are, try, bra

first time i looked at this thread
-------------------- Everything is better than it was the last time. I'm good. If we could look into each others hearts, and understand the unique challenges each of us faces, I think we would treat each other much more gently, with more love, patience, tolerance, and care. It takes a lot of courage to go out there and radiate your essence. I know you scared, you should ask us if we scared too. If you was there, and we just knew you cared too.
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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Re: mathematical brain teaser thread [Re: CosmicJoke]
#22387572 - 10/16/15 09:29 AM (8 years, 3 months ago) |
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I was giving the answer. The problem was to come up with the letters. No one got it.
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Sun King



Registered: 02/15/14
Posts: 4,069
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You only gave us a few hours. That one wasn't very mathematical.
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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PROBLEM #31
Quote:
Six glasses are arranged in a row. The first three glasses are filled with water; the last three glasses are empty. By moving one glass only, change the arrangement so that the glasses alternate empty with full.
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deff
just love everyone



Registered: 05/01/04
Posts: 9,406
Loc: clarity
Last seen: 36 minutes, 51 seconds
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pour the second full cup into the fifth empty cup 
xxxooo
xoxoxo
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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Re: mathematical brain teaser thread [Re: deff]
#22387661 - 10/16/15 09:52 AM (8 years, 3 months ago) |
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Quote:
deff said: pour the second full cup into the fifth empty cup 
xxxooo
xoxoxo
Correct!
 
-------------------- Vi Veri Universum Vivus Vici
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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PROBLEM #32:
Quote:
"No," said the mathematician to his 14-year-old son. "I do not feel inclined to increase your allowance this week by $10. But I'll make you a sporting proposition." "What is it this time, Dad?" the boy asked. The father replied: "I happen to have ten crisp new $10 bills and ten crisp new $1 bills. You can divide them any way you want into two sets. We'll put one set into hat A, the other set into hat B. Then I'll blindfold you. I'll mix the contents of each hat and put one hat on the right and one on the left side of the table. Pick either hat at random, then reach into that hat and take out one bill. If it's a ten, you can keep it." The boy asked, "And if it isn't?" "You'll mow the lawn for a month, with no complaints." The boy agreed. How should he divide the twenty bills between the two hats to maximize the probability of his drawing a $10 bill? What will that probability be?
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DisoRDeR
motional



Registered: 08/29/02
Posts: 1,158
Loc: nonsensistan
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Put one $10 bill in one hat, the rest in the other hat.
Probability of getting a $10 bill
P = 0.5(1) + 0.5(9/19)
= 73.7%
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DividedQuantum
Outer Head


Registered: 12/06/13
Posts: 9,819
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Re: mathematical brain teaser thread [Re: DisoRDeR]
#22387818 - 10/16/15 10:35 AM (8 years, 3 months ago) |
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Quote:
DisoRDeR said: Put one $10 bill in one hat, the rest in the other hat.
Probability of getting a $10 bill
P = 0.5(1) + 0.5(9/19)
= 73.7%
Correct!
 
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Skribe
The Overman


Registered: 10/10/15
Posts: 51
Loc: Canada
Last seen: 8 years, 3 months
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They were not twins their parents were inseminated lesbians
-------------------- We're not in Wonderland anymore Alice. Charles Manson
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