Riddle Time

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James Bond

Diamond Member
Jan 21, 2005
6,023
0
0
Originally posted by: Schfifty Five
Originally posted by: A Casual Fitz
If the rubber band keeps getting a mile longer every time the flea jumps then he'll never catch up.

but as the kangaroo is jumping and stretching the rubber band.....wouldn't the flea also be moving closer even w/o moving? I guess what I'm saying, although he is stationary on the rubber band, the fact that it stretches will cause him to get closer proportionally i geuss to the amount of stretch. i dunno....

Ahh you helped me figure it out.

Don't think in terms of inches when it comes to the flea, think in terms of percentage of the rubber band covered.

If the flea is half way to the kangaroo (50% of the rubber band), and the kangaroo jumps a mile, the rubber band stretches, but the flea remains at 50%.
So yes, the flea will eventually catch the kangaroo.
 

TuxDave

Lifer
Oct 8, 2002
10,571
3
71
Originally posted by: Tizyler
Originally posted by: Schfifty Five
Originally posted by: A Casual Fitz
If the rubber band keeps getting a mile longer every time the flea jumps then he'll never catch up.

but as the kangaroo is jumping and stretching the rubber band.....wouldn't the flea also be moving closer even w/o moving? I guess what I'm saying, although he is stationary on the rubber band, the fact that it stretches will cause him to get closer proportionally i geuss to the amount of stretch. i dunno....

Ahh you helped me figure it out.

Don't think in terms of inches when it comes to the flea, think in terms of percentage of the rubber band covered.

If the flea is half way to the kangaroo (50% of the rubber band), and the kangaroo jumps a mile, the rubber band stretches, but the flea remains at 50%.
So yes, the flea will eventually catch the kangaroo.

Yeah, if X is 1 inch converted into miles, the first jump is X/100 % of the rubber band. The second jump is X/200 % of the rubber band etc...

The infinite series of

X/100+X/200+X/300+X/400 etc... assuming X is not zero or negative will go to positive infinity so given an infinite number of jumps he will traverse to 100% of the rubber band.
 

James Bond

Diamond Member
Jan 21, 2005
6,023
0
0
Originally posted by: Dritnul
1. In a street there are five houses, painted five different colours.
2. In each house lives a person of different nationality
3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet.

THE QUESTION: WHO OWNS THE FISH?

HINTS

1. The Brit lives in a red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to, and on the left of the White house.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
8. The man living in the centre house drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the blue house.
15. The man who smokes Blends has a neighbour who drinks water.




sorry its a good one
Ive solved it before my roomate tried and only missed barely

I tried this last night and couldn't get it, I messed up somewhere.

I did it again today and got it without too much trouble. And yes, the German.
I liked that one a lot, it makes time go by fast!
 

NuroMancer

Golden Member
Nov 8, 2004
1,684
1
76
Originally posted by: logic1485
Originally posted by: SKORPI0
I never was, am always to be,
No one ever saw me, nor ever will,
And yet I am the confidence of all
To live and breathe on this terrestrial ball.

What am I?

Give up. What's the answer?


Heard this one before,

Tommorow.
 

Turin39789

Lifer
Nov 21, 2000
12,218
8
81
Originally posted by: Tizyler
Originally posted by: Dritnul
1. In a street there are five houses, painted five different colours.
2. In each house lives a person of different nationality
3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet.

THE QUESTION: WHO OWNS THE FISH?

HINTS

1. The Brit lives in a red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to, and on the left of the White house.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
8. The man living in the centre house drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the blue house.
15. The man who smokes Blends has a neighbour who drinks water.




sorry its a good one
Ive solved it before my roomate tried and only missed barely

I tried this last night and couldn't get it, I messed up somewhere.

I did it again today and got it without too much trouble. And yes, the German.
I liked that one a lot, it makes time go by fast!


Am I stupid or does it not say anywhere in 1-15 that anyone owns a fish. I see cats, horse, dog, and bird. I'm assuming the 5th pet is an armadillo and there is no fish.
 

James Bond

Diamond Member
Jan 21, 2005
6,023
0
0
Originally posted by: Turin39789
Originally posted by: Tizyler
Originally posted by: Dritnul
1. In a street there are five houses, painted five different colours.
2. In each house lives a person of different nationality
3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet.

THE QUESTION: WHO OWNS THE FISH?

HINTS

1. The Brit lives in a red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to, and on the left of the White house.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
8. The man living in the centre house drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the blue house.
15. The man who smokes Blends has a neighbour who drinks water.




sorry its a good one
Ive solved it before my roomate tried and only missed barely

I tried this last night and couldn't get it, I messed up somewhere.

I did it again today and got it without too much trouble. And yes, the German.
I liked that one a lot, it makes time go by fast!


Am I stupid or does it not say anywhere in 1-15 that anyone owns a fish. I see cats, horse, dog, and bird. I'm assuming the 5th pet is an armadillo and there is no fish.

 

five40

Golden Member
Oct 4, 2004
1,875
0
0
Originally posted by: Dritnul
1. In a street there are five houses, painted five different colours.
2. In each house lives a person of different nationality
3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet.

THE QUESTION: WHO OWNS THE FISH?

HINTS

1. The Brit lives in a red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to, and on the left of the White house.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
8. The man living in the centre house drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the blue house.
15. The man who smokes Blends has a neighbour who drinks water.




sorry its a good one
Ive solved it before my roomate tried and only missed barely

Einstein's riddle. He said 98% of the world couldn't solve it.
 

James Bond

Diamond Member
Jan 21, 2005
6,023
0
0
Originally posted by: five40
Originally posted by: Dritnul
1. In a street there are five houses, painted five different colours.
2. In each house lives a person of different nationality
3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet.

THE QUESTION: WHO OWNS THE FISH?

HINTS

1. The Brit lives in a red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to, and on the left of the White house.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
8. The man living in the centre house drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the blue house.
15. The man who smokes Blends has a neighbour who drinks water.




sorry its a good one
Ive solved it before my roomate tried and only missed barely

Einstein's riddle. He said 98% of the world couldn't solve it.

Where did you get that?
 
Jan 31, 2002
40,819
2
0
Originally posted by: Turin39789
Am I stupid or does it not say anywhere in 1-15 that anyone owns a fish. I see cats, horse, dog, and bird. I'm assuming the 5th pet is an armadillo and there is no fish.

Whoa.

Dude.

Whoa.

- Neo
 

QED

Diamond Member
Dec 16, 2005
3,428
3
0
Here's a new one I came up with.

Aldo runs a business called Aldo's Used Books, which (suprisingly) sells used books.

Every book Aldo sells is one-of-a-kind, so every book is priced differently. The cheapest book is one cent.
Aldo believes in saving paper, so on his receipts he doesn't show individual books or their sales price-- he only prints the total sales amount. Strangely, this is enough information for Aldo to know exactly what books have been sold.

Given this information, what is the maximum number of books you can buy at Aldo's for exactly $295.24?

 

James Bond

Diamond Member
Jan 21, 2005
6,023
0
0
Originally posted by: QED
Here's a new one I came up with.

Aldo runs a business called Aldo's Used Books, which (suprisingly) sells used books.

Every book Aldo sells is one-of-a-kind, so every book is priced differently. The cheapest book is one cent.
Aldo believes in saving paper, so on his receipts he doesn't show individual books or their sales price-- he only prints the total sales amount. Strangely, this is enough information for Aldo to know exactly what books have been sold.

Given this information, what is the maximum number of books you can buy at Aldo's for exactly $295.24?

It's been too long since math classes...
It seems like you could do hit or miss with (n)!. Or is it !(x). Hmm.. I can't even remember.
 

Born2bwire

Diamond Member
Oct 28, 2005
9,840
6
71
Originally posted by: QED
Here's a new one I came up with.

Aldo runs a business called Aldo's Used Books, which (suprisingly) sells used books.

Every book Aldo sells is one-of-a-kind, so every book is priced differently. The cheapest book is one cent.
Aldo believes in saving paper, so on his receipts he doesn't show individual books or their sales price-- he only prints the total sales amount. Strangely, this is enough information for Aldo to know exactly what books have been sold.

Given this information, what is the maximum number of books you can buy at Aldo's for exactly $295.24?
Just a ballpark guess, 242. Probably off since I'm not going to figure out the exact prices of books to come up to $295.24.
 
Jan 18, 2001
14,465
1
0
Originally posted by: QED
Here's a new one I came up with.

Aldo runs a business called Aldo's Used Books, which (suprisingly) sells used books.

Every book Aldo sells is one-of-a-kind, so every book is priced differently. The cheapest book is one cent.
Aldo believes in saving paper, so on his receipts he doesn't show individual books or their sales price-- he only prints the total sales amount. Strangely, this is enough information for Aldo to know exactly what books have been sold.

Given this information, what is the maximum number of books you can buy at Aldo's for exactly $295.24?

242
 

crystal

Platinum Member
Nov 5, 1999
2,424
0
76
Originally posted by: QED
Originally posted by: SexyK
Originally posted by: QED

Imagine a giant kangaroo, whose tail is attached to a stake in the ground by a giant rubber band. A tiny flea is sitting on the stake.

The giant kangaroo see the flea and is spooked. He jumps and lands a mile away from the stake (to which it is still attached by the giant rubber band). The flea begins pursuit, hopping onto the rubber band, and lands one inch away from the stake. The kangaroo again jumps another mile away from the stake. The flea jumps another inch along the rubber band. This continues indefinately.

Assuming the earth is flat and infinite, does the flea ever catch up with the kangaroo?

Is the rubber band infinitely elastic?

Yes. And the flea and kangaroo live infintely long.

Yes. Infinity ~ Infinity
 

QED

Diamond Member
Dec 16, 2005
3,428
3
0
242 would be the answer if book #1 was one cent, book #2 was two cents, book #3 was 3 cents, etc.

However, if those were the prices Aldo wouldn't be able to tell the difference between the sale of book #3 at three cents, or the sales of book #1 and #2 for a total of three cents.

 

Imported

Lifer
Sep 2, 2000
14,679
23
81
Originally posted by: Tizyler
Originally posted by: Dritnul
1. In a street there are five houses, painted five different colours.
2. In each house lives a person of different nationality
3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet.

THE QUESTION: WHO OWNS THE FISH?

HINTS

1. The Brit lives in a red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to, and on the left of the White house.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
8. The man living in the centre house drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the blue house.
15. The man who smokes Blends has a neighbour who drinks water.




sorry its a good one
Ive solved it before my roomate tried and only missed barely

I tried this last night and couldn't get it, I messed up somewhere.

I did it again today and got it without too much trouble. And yes, the German.
I liked that one a lot, it makes time go by fast!

Yea, we need more like this. Definitely makes time go by faster!
 

tmc

Golden Member
Aug 14, 2001
1,116
1
81
Originally posted by: QED
242 would be the answer if book #1 was one cent, book #2 was two cents, book #3 was 3 cents, etc.

However, if those were the prices Aldo wouldn't be able to tell the difference between the sale of book #3 at three cents, or the sales of book #1 and #2 for a total of three cents.

i think you have to go like - 1 cent, 2 cents, 4 cents, 16 cents, 32 cents, etc...
 

tmc

Golden Member
Aug 14, 2001
1,116
1
81
*** Shortest among the Tallest OR Tallest among the Shortest ***

Army people are standing in the form of a matrix with 'n' rows and 'm' columns, with a total of 'nm' people.

The tallest person from each row is taken and the shortest person among these 'n' tallest persons is named A.

They are again asked to stand exactly as before.

This time, the shortest person from each column is taken and the tallest person among these 'm' shortest persons is named B.

Note: first time it is by row, second time it is by column.

Given that no two persons are of the same height, who will be taller - A or B.
 

tmc

Golden Member
Aug 14, 2001
1,116
1
81
If one of the faces of a tetrahedron of side 'a' is glued to one of the triangular faces of an equilateral pyramid of side 'a', then how many faces will the resulting solid have?
 

yosuke188

Platinum Member
Apr 19, 2005
2,726
2
0
Originally posted by: tmc
Originally posted by: QED
242 would be the answer if book #1 was one cent, book #2 was two cents, book #3 was 3 cents, etc.

However, if those were the prices Aldo wouldn't be able to tell the difference between the sale of book #3 at three cents, or the sales of book #1 and #2 for a total of three cents.

i think you have to go like - 1 cent, 2 cents, 4 cents, 16 cents, 32 cents, etc...

I think you forgot 8 cents.
 

Demon-Xanth

Lifer
Feb 15, 2000
20,551
2
81
Originally posted by: QED
Here's a new one I came up with.

Aldo runs a business called Aldo's Used Books, which (suprisingly) sells used books.

Every book Aldo sells is one-of-a-kind, so every book is priced differently. The cheapest book is one cent.
Aldo believes in saving paper, so on his receipts he doesn't show individual books or their sales price-- he only prints the total sales amount. Strangely, this is enough information for Aldo to know exactly what books have been sold.

Given this information, what is the maximum number of books you can buy at Aldo's for exactly $295.24?
8

 

Born2bwire

Diamond Member
Oct 28, 2005
9,840
6
71
Originally posted by: QED
242 would be the answer if book #1 was one cent, book #2 was two cents, book #3 was 3 cents, etc.

However, if those were the prices Aldo wouldn't be able to tell the difference between the sale of book #3 at three cents, or the sales of book #1 and #2 for a total of three cents.

Well then it's just a binary arithmatic question so with that it would be 14 books (13 follow the pricing of .01*2^x while the last one would be 295.24-sum(.01*2^n,n,0,13).
 

tmc

Golden Member
Aug 14, 2001
1,116
1
81
Originally posted by: Born2bwire
Originally posted by: QED
242 would be the answer if book #1 was one cent, book #2 was two cents, book #3 was 3 cents, etc.

However, if those were the prices Aldo wouldn't be able to tell the difference between the sale of book #3 at three cents, or the sales of book #1 and #2 for a total of three cents.

Well then it's just a binary arithmatic question so with that it would be 14 books (13 follow the pricing of .01*2^x while the last one would be 295.24-sum(.01*2^n,n,0,13).

just convert 29524 to binary (= 111001101010100), and count the no. of 1s.

answer is 8 as posted by yosuke188.
 

Born2bwire

Diamond Member
Oct 28, 2005
9,840
6
71
Originally posted by: tmc
Originally posted by: Born2bwire
Originally posted by: QED
242 would be the answer if book #1 was one cent, book #2 was two cents, book #3 was 3 cents, etc.

However, if those were the prices Aldo wouldn't be able to tell the difference between the sale of book #3 at three cents, or the sales of book #1 and #2 for a total of three cents.

Well then it's just a binary arithmatic question so with that it would be 14 books (13 follow the pricing of .01*2^x while the last one would be 295.24-sum(.01*2^n,n,0,13).

just convert 29524 to binary (= 111001101010100), and count the no. of 1s.

answer is 8 as posted by yosuke188.

Whoops, refine my answer to 13 books after checking for uniqueness.

That's a better answer (8 books, not my answer of 13). I wanted to play around with the assumptions of the problem. I'm assuming that he can still deter away from the binary pricing case. So if a customer buys all the books he can in increasing price, he can buy 12 books for $163.81 (by excluding the price of 2 cents) . So the last book is some arbitrary book that costs $131.43. This can work for specific cases where Aldo leaves gaps in the pricing of his books.

$163.81 is the sum of all the books priced from 1 cent to 2^14 cents excluding 2 cents. But if Aldo does not have a book that costs 2 cents or 2^15 cents, then there will not be any ambiguity for the books here because the leading order term in the binary conversion of 29524 is 2^15 and the binary equivalent of $131.43 would require binary prices that have already been used and it would require a book that costs 2 cents if reconstructed via summation of binary prices. So without the book that costs 2 cents, then Aldo cannot reproduce the price of $131.43. And without the book that costs 2^15 cents, Aldo cannot reproduce the price of $295.24 via binary pricing either.