"Simple" Maths Problems - CLOSED!

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Profile William Rothamel
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Message 769857 - Posted: 18 Jun 2008, 7:25:47 UTC

Fabulous !!

Good job Philly

It's kind of like figuring out where to bury the survivors of a plane crash.

"I was in Philadelphia once --it was closed" ..W.C. Fields
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Message 769859 - Posted: 18 Jun 2008, 7:26:54 UTC - in response to Message 769850.  

Close Enough Fred!, and again you tie with Bill...

Standings:
1. William Rothamel - 15 Points
2. Fred W - 14 1/2 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. John McLeod VII - 1 Point
9. Labbie - 1 Point
10. Scary Capitalist - 1/2 Point
11. TBD...

Q62 : (1 Point) Thirteen per cent of the people in a certain town have unlisted phone numbers. You select three hundred names at random from the phone book. What is the expected number of people who will have unlisted numbers?

Luke.


None, since they're obviously listed in the phone book.


Hey! A new participant! Well Done Philadelphia! You haven't been around for a while, a long while. Where have you been?

Q61 Answer : None, coz' there not listed in the phonebook!
Q61 Solver : Philadelphia
Standings:
1. William Rothamel - 15 Points
2. Fred W - 15 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. John McLeod VII - 1 Point
9. Labbie - 1 Point
10. Philadelphia - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

You should stop by here more often!

Q62 : A friend of mine learned how to count in a base different from 10, so that, for instance, instead of writing 136, he writes 253. In what base does he count?

Luke.
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Profile William Rothamel
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Message 769861 - Posted: 18 Jun 2008, 7:36:45 UTC
Last modified: 18 Jun 2008, 7:37:30 UTC

Q 62 ANSWER --- It is base 7
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Message 769862 - Posted: 18 Jun 2008, 7:40:02 UTC - in response to Message 769859.  

Close Enough Fred!, and again you tie with Bill...

Standings:
1. William Rothamel - 15 Points
2. Fred W - 14 1/2 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. John McLeod VII - 1 Point
9. Labbie - 1 Point
10. Scary Capitalist - 1/2 Point
11. TBD...

Q62 : (1 Point) Thirteen per cent of the people in a certain town have unlisted phone numbers. You select three hundred names at random from the phone book. What is the expected number of people who will have unlisted numbers?

Luke.


None, since they're obviously listed in the phone book.


Hey! A new participant! Well Done Philadelphia! You haven't been around for a while, a long while. Where have you been?

Q61 Answer : None, coz' there not listed in the phonebook!
Q61 Solver : Philadelphia
Standings:
1. William Rothamel - 15 Points
2. Fred W - 15 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. John McLeod VII - 1 Point
9. Labbie - 1 Point
10. Philadelphia - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

You should stop by here more often!

Q62 : A friend of mine learned how to count in a base different from 10, so that, for instance, instead of writing 136, he writes 253. In what base does he count?

Luke.


Waaaaaay too busy.

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Message 769882 - Posted: 18 Jun 2008, 9:18:07 UTC - in response to Message 769861.  

Q 62 ANSWER --- It is base 7

In theory, it should also work with base -9.5, but I have never come across a negative, non-integer number base so I am not sure if it is legal ;)

F.
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Message 770295 - Posted: 19 Jun 2008, 4:51:22 UTC
Last modified: 19 Jun 2008, 4:52:41 UTC

Well Done to Bill for solving Q62!

Question 62
Q62 Answer: Base 7
Q62 Winner: Bill

Also - Fred, I've never heard of a negative number base myself, I'll have a look around the web to see if it's legal...

Standings:
1. William Rothamel - 16 Points
2. Fred W - 15 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. John McLeod VII - 1 Point
9. Labbie - 1 Point
10. Philadelphia - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

Q63 : (1 Point)
What three different digits are represented by X, Y, and Z in this addition problem?

XZY
XYZ+
---
YZX

Luke.
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Message 770320 - Posted: 19 Jun 2008, 6:58:41 UTC

No answers yet?

Q63 : (1 Point)
What three different digits are represented by X, Y, and Z in this addition problem?

XZY
XYZ+
---
YZX

Luke.
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Message 770325 - Posted: 19 Jun 2008, 7:38:07 UTC - in response to Message 770320.  
Last modified: 19 Jun 2008, 7:39:20 UTC

No answers yet?

Q63 : (1 Point)
What three different digits are represented by X, Y, and Z in this addition problem?

XZY
XYZ+
---
YZX

Luke.

X=4, Y=9, Z=5

F.
[edit]
Bill must be managing a good night's sleep :)
[/edit]
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Message 770478 - Posted: 19 Jun 2008, 18:53:06 UTC

Well Done Fred!

Q63 Answer: X=4 Y=9 Z=56

Standings:
1. William Rothamel - 16 Points
2. Fred W - 16 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. John McLeod VII - 1 Point
9. Labbie - 1 Point
10. Philadelphia - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

Here's one more:

Q64 : (1 Point) Write a ten-digit number so that the first digit tells how many zeros there are in the number, the second how many ones, the third how many twos, and so forth.

Luke.



- Luke.
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Message 770529 - Posted: 19 Jun 2008, 21:42:00 UTC - in response to Message 770478.  

Well Done Fred!

Q63 Answer: X=4 Y=9 Z=56

Standings:
1. William Rothamel - 16 Points
2. Fred W - 16 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. John McLeod VII - 1 Point
9. Labbie - 1 Point
10. Philadelphia - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

Here's one more:

Q64 : (1 Point) Write a ten-digit number so that the first digit tells how many zeros there are in the number, the second how many ones, the third how many twos, and so forth.

Luke.




This was a HARD one, I'm petitioning for more points.

2100010006
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Message 770532 - Posted: 19 Jun 2008, 21:48:00 UTC - in response to Message 770529.  
Last modified: 19 Jun 2008, 21:50:19 UTC


Here's one more:

Q64 : (1 Point) Write a ten-digit number so that the first digit tells how many zeros there are in the number, the second how many ones, the third how many twos, and so forth.

Luke.




This was a HARD one, I'm petitioning for more points.

2100010006

Hey, Philly - READ THE QUESTION

6210001000

F.

[edit]Philly did the hard work. I think the points should be split?[/edit]
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Profile William Rothamel
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Message 770631 - Posted: 20 Jun 2008, 1:55:31 UTC

Godspeed competitors. I am busy with job interviews and trying to find the leak in my pool.

Others need to come forth anyway---

Regards,

Daddio
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Message 770646 - Posted: 20 Jun 2008, 2:40:46 UTC - in response to Message 770532.  


Here's one more:

Q64 : (1 Point) Write a ten-digit number so that the first digit tells how many zeros there are in the number, the second how many ones, the third how many twos, and so forth.

Luke.




This was a HARD one, I'm petitioning for more points.

2100010006

Hey, Philly - READ THE QUESTION

6210001000

F.

[edit]Philly did the hard work. I think the points should be split?[/edit]

You're absolutely correct, I did read it wrong,lol, shame on me.

No points awarded for not paying attention, :)

On to the next one :)
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Message 770688 - Posted: 20 Jun 2008, 4:55:31 UTC
Last modified: 20 Jun 2008, 4:56:35 UTC

Good to see Philly, Fred and Bill all on this question. As per Fred's request of "Philly doing the hard work"

I will award:
Fred - 1 Point - "For correctly answering the question"
Philly - 1/2 a point - for giving it a go and "doing the hard work"...

Congratulations to both of you!

Microsoft Windows Standings 1.0
1. Fred W - 17 Points
2. William Rothamel - 16 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. Philadelphia - 1 1/2 Points
9. John McLeod VII - 1 Point
10. Labbie - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

And, a big congratulations to Fred!, for taking the title of problem solving champion! But I don't see Bill giving up anytime soon, so I doubt Bill losing the title forever.

Q65 (1 Point) : Why is this part of the alphabet arranged like this?

A---EF-HI-KLMN-
-B-D--G--J-----
--C--------------O

Luke.
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Message 770795 - Posted: 20 Jun 2008, 12:33:14 UTC - in response to Message 770688.  

Good to see Philly, Fred and Bill all on this question. As per Fred's request of "Philly doing the hard work"

I will award:
Fred - 1 Point - "For correctly answering the question"
Philly - 1/2 a point - for giving it a go and "doing the hard work"...

Congratulations to both of you!

Microsoft Windows Standings 1.0
1. Fred W - 17 Points
2. William Rothamel - 16 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. Philadelphia - 1 1/2 Points
9. John McLeod VII - 1 Point
10. Labbie - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

And, a big congratulations to Fred!, for taking the title of problem solving champion! But I don't see Bill giving up anytime soon, so I doubt Bill losing the title forever.

Q65 (1 Point) : Why is this part of the alphabet arranged like this?

A---EF-HI-KLMN-
-B-D--G--J-----
--C--------------O

Luke.


I'm taking a 'stab' at it - the first line of letters all have straight lines in the letters - the second line has curved parts and straight parts - and the third line only has curved parts to the letters. That's the best I can come up with.
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Message 770918 - Posted: 20 Jun 2008, 19:36:19 UTC
Last modified: 20 Jun 2008, 19:37:02 UTC

It's good that's the stab that you took Philly, because it's right!

Q65 Winner: Philadelphia
Q65 Answer: Top Row is Straight Lines, Middle Row is Curved & Straight Lines, Bottom Row is Curved Lines.


Microsoft Windows Standings 1.5
1. Fred W - 17 Points
2. William Rothamel - 16 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. Philadelphia - 2 1/2 Points
9. John McLeod VII - 1 Point
10. Labbie - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

Q66 (1 Point) : At a movie theater, the manager announces that a free ticket will be given to the first person in line whose birthday is the same as someone in line who has already bought a ticket. You have the option of getting in line at any time. Assuming that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365 day year, what position in line gives you the best chance of being the first duplicate birthday?

Luke.
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Message 770920 - Posted: 20 Jun 2008, 19:42:14 UTC

I think I remember this one from a year or so ago on another group and I'm pretty sure the number was 20, although I can't give the reason for it, lol. But I'll go with 20 anyway.
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Message 770929 - Posted: 20 Jun 2008, 20:42:45 UTC

That was quick Philly! And yes the answer is right ;) Congratulations!

Question 66
Q66 Answer: 20th
Q66 Solver: Philly

Microsoft Windows Standings 2.0:
1. Fred W - 17 Points
2. William Rothamel - 16 Points
3. Guido.Man - 8 Points
4. Mr. Kevvy - 7 Points
5. Sarge - 5 1/2 Points
6. Dominique - 5 1/2 Points
7. WinterKnight - 5 Points
8. Philadelphia - 3 1/2 Points
9. John McLeod VII - 1 Point
10. Labbie - 1 Point
11. Scary Capitalist - 1/2 Point
12. TBD...

Philly quickly gaining speed going up the table....

Now for another question!

Q66 (1 Point) : A cloth bag contains a pool ball, which is known to be a solid ball. A second pool ball is chosen at random in such a way that it is equally likely to be a solid or a stripe ball. The ball is added to the bag, the bag is shaken, and a ball is drawn at random. This ball proves to be a solid. What is the probability that the ball remaining in the bag is also a solid?

Cya' all soon!
Luke.

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Message 770930 - Posted: 20 Jun 2008, 20:43:03 UTC - in response to Message 770918.  

(1 Point) : At a movie theater, the manager announces that a free ticket will be given to the first person in line whose birthday is the same as someone in line who has already bought a ticket. You have the option of getting in line at any time. Assuming that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365 day year, what position in line gives you the best chance of being the first duplicate birthday?

Luke.


As the question is asked there can only be 1 answer for a 100% chance of winning. That would be position #367 which would cover all posible dates including Feb. 29.

Statistically speaking Philadelphia is correct with 20 but that only gives you about a 50/50 chance of winning.

...and you didn't specify a probable answer.

I realize my answer is highly improbable but possible.
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Message 770934 - Posted: 20 Jun 2008, 20:48:15 UTC - in response to Message 770930.  

(1 Point) : At a movie theater, the manager announces that a free ticket will be given to the first person in line whose birthday is the same as someone in line who has already bought a ticket. You have the option of getting in line at any time. Assuming that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365 day year, what position in line gives you the best chance of being the first duplicate birthday?

Luke.


As the question is asked there can only be 1 answer for a 100% chance of winning. That would be position #367 which would cover all possible dates including Feb. 29.

Statistically speaking Philadelphia is correct with 20 but that only gives you about a 50/50 chance of winning.

...and you didn't specify a probable answer.

I realize my answer is highly improbable but possible.


Hmmmm... good point... it's possible but very unlikely...
A Half point for alerting me to this and thinking outside the box?

Luke.
- Luke.
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