A new question, a new day...

Q53 : A quart bottle contains a mixture that is 1/3 antifreeze, 2/3 water. A half gallon bottle contains a mixture that is 3/4 antifreeze, 1/4 water. The contents of the two bottles are poured into a gallon jug. What is the ratio (one integer to another, in the form a:b) of antifreeze to water in the jug?

Luke.

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- Luke.

just woke up . It is 11/7 antifreeze to water.

Did you give fred his point ?

Just woke up. It is 11/7 antifreeze to water.
Did you give Fred his point?

Yup, Fred has 1 point and you now have another for this one.

Q53 Answer: 11/7 Antifreeze:Water
Q53 Solver: William Rothamel

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

The two current questions:

Q47: A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)

Q53: The digits in this addition problem have been replaced by letters. Replace each letter with a different digit to obtain a correct sum that is as large as possible. What is the value of "FIVE"?

FIVE
FIVE
FIVE
FIVE
FIVE+
------
ISLE

Best Regards,
Luke.

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- Luke.

Just woke up. It is 11/7 antifreeze to water.
Did you give Fred his point?

Yup, Fred has 1 point and you now have another for this one.

Q53 Answer: 11/7 Antifreeze:Water
Q53 Solver: William Rothamel

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

The two current questions:

Q47: A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)

Q53: The digits in this addition problem have been replaced by letters. Replace each letter with a different digit to obtain a correct sum that is as large as possible. What is the value of "FIVE"?

FIVE
FIVE
FIVE
FIVE
FIVE+
------
ISLE

Best Regards,
Luke.

Objection, Ref. I had 10 1/2 points before answering Bill's question. I still have 10 1/2 points !!?!!

F.

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Just woke up. It is 11/7 antifreeze to water.
Did you give Fred his point?

Yup, Fred has 1 point and you now have another for this one.

Q53 Answer: 11/7 Antifreeze:Water
Q53 Solver: William Rothamel

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

The two current questions:

Q47: A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)

Q53: The digits in this addition problem have been replaced by letters. Replace each letter with a different digit to obtain a correct sum that is as large as possible. What is the value of "FIVE"?

FIVE
FIVE
FIVE
FIVE
FIVE+
------
ISLE

Best Regards,
Luke.

Objection, Ref. I had 10 1/2 points before answering Bill's question. I still have 10 1/2 points !!?!!

F.

So you did... (note to self, add the ***** scores after questions!) Sorry 'bout that...

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

Questions:
Q47: A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)

Q53: The digits in this addition problem have been replaced by letters. Replace each letter with a different digit to obtain a correct sum that is as large as possible. What is the value of "FIVE"?

FIVE
FIVE
FIVE
FIVE
FIVE+
------
ISLE

Best Regards,
Luke.

---

- Luke.

Thanks, Luke.

Got to try and catch Bill and make my first million in the same weekend...

Q53:
Since 5 * E give units digit of E, then E must be 0 or 5.
Since 5 * F has no carry then F = 1 and I = 5 plus the carry from 5 * I. I = 9 gives a carry of 4 so fits the bill nicely.
S needs to be < 9 (if I = 9); a carry of 3 from 5 * V would provide S = 8
Since we have already assigned 9 and 8 it is fortunate that 5 * 7 will provide this carry and provide the result that:

FIVE = 1970

F.

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Again, Fred, you've done it! Well done to you! Bill better hurry up, otherwise he's gonna' lose the top position....

Q53 Answer: FIVE = 1970
Q53 Solver: Fred W

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

Well done to Fred, he is this close to eclipsing Bill!

More Questions:

Q47 : A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)


Q54 : An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?

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- Luke.

Been painting the coping on my pool and trying to find the water leak..

Can't we rehabilitate Guido, Kevvy and Sarge ??

regards,

Bill

Been painting the coping on my pool and trying to find the water leak..

Can't we rehabilitate Guido, Kevvy and Sarge ??

regards,

Bill

I'll send them all an email...
Thanks for reminding me Bill.

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- Luke.

I'm not quick enough on the draw to compete with you guys.

Maybe this is worth a point.

Dominique didn't get credit for her answer to Q43.
What's up with that eh?
No wonder she stopped playing.

That was rather clever Luke.
Answer to Q43=43.
Or was it just coincidence, or maybe synchronicity?

g.m

It was Fred that answered Q43?
But if I didn't give Dominique a point for a question, please tell me what question it was...

Luke.

EDIT : Wait, I see your point guido.man, I have created two Q43 questions...

Standings:
1. William Rothamel - 12 1/2 Points
2. Fred W - 12 1/2 Points
----------------------------------
3. Mr. Kevvy - 7 Points
4. Guido.Man - 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...

Please correct me if I make a mistake, people...

Q47 : A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)

Q54 : An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?

Best Regards,
Luke.

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- Luke.

Q54:

Is the number 23421314 ?

Nope, sorry, guido.man, that's the wrong answer.....

Q47 : A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)

Q54 : An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?

Luke.

---

- Luke.

Q54:

Is the number 23421314 ?

Nope, sorry, guido.man, that's the wrong answer.....

Q47 : A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they? (Apart from 1, 3, 9, and 27 lbs....)

Q54 : An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?

Luke.

I have to say that I think guido.man's answer meets all the criteria set by the question. I can't see any grounds on which it could be wrong.

F.

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Sorry about that, guido.man, it seems the website listed 41,312,432 as the answer, but the reverse 23,421,314is also correct.
My apologies guido.man... I'll award you the point (also, congratulations your now in the top 3!)

Standings:
1. William Rothamel - 12 1/2 Points
2. Fred W - 12 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...

More Questions

Here is a question worth a half-point, you must answer all three sub-questions to be awarded the half-point... (all these questions are easy)

Q55 : Chessboard problems...
A : How many 1x1 squares are on a chessboard?
B : How many squares are on a chessboard? (answer is not 64)
C : I have 5 chessboards, I leave the first uncut, I cut the second in half and keep one half, I cut the third in quarters and keep on quarter, I cut the fourth in eighths and I keep one eighths, I cut the fifth one in sixteenths and keep one sixteenth... how many 1x1 squares have I kept?

Luke.

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- Luke.

Any Answers Yet?....

Q55 : Chessboard problems...
A : How many 1x1 squares are on a chessboard?
B : How many squares are on a chessboard? (answer is not 64)
C : I have 5 chessboards, I leave the first uncut, I cut the second in half and keep one half, I cut the third in quarters and keep on quarter, I cut the fourth in eighths and I keep one eighths, I cut the fifth one in sixteenths and keep one sixteenth... how many 1x1 squares have I kept?

Luke.

---

- Luke.

Any Answers Yet?....

Q55 : Chessboard problems...
A : How many 1x1 squares are on a chessboard?
B : How many squares are on a chessboard? (answer is not 64)
C : I have 5 chessboards, I leave the first uncut, I cut the second in half and keep one half, I cut the third in quarters and keep on quarter, I cut the fourth in eighths and I keep one eighths, I cut the fifth one in sixteenths and keep one sixteenth... how many 1x1 squares have I kept?

Luke.

64 1x1 squares
204 total squares
124 squares for answer C

Yup, well done Bill....
You've rounded your points off nicely...

Standings:
1. William Rothamel - 13 Points
2. Fred W - 12 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...

Worth another half-point (answer all the sub-questions, try to use your brain)...

Q56 : Prime Number Problems (all extremely simple)...

A : What is the only "even" prime?
B : How many prime numbers below the number 100?
C : Apply a primality test to see if 637 is prime, is it?
D : What is the first "repunit" prime number?
E : What is the closest prime year to 2008? (as in: 2007 is not prime, 2009 is not prime)
F : What is the 100th prime number?
G : Apply a primality test to see if 881 is prime, is it?

Best Regards,
Luke.

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- Luke.

Hey, these are not so easy:

See my answers

Q56 : Prime Number Problems (all extremely simple)...

A : What is the only "even" prime? ( 2)
B : How many prime numbers below the number 100? (25)
C : Apply a primality test to see if 637 is prime, is it? ( No 7 goes in )
D : What is the first "repunit" prime number? (11 assuming 1 is not considered prime)
E : What is the closest prime year to 2008? (as in: 2007 is not prime, 2009 is not prime) (2011 is prime)
F : What is the 100th prime number? (541)
G : Apply a primality test to see if 881 is prime, is it? (YEs it is Prime)

Back to bed now

Best Regards,
Luke.



[/quote]

Again, well done to Bill........
All your answers are correct...

Standings:
1. William Rothamel - 13 1/2 Points
2. Fred W - 12 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...

Here are two more... Q57 worth 1 point, Q58 worth 1/2 a point.

Q57 (1 Point) : Alfred, Brian, Christopher and Damon play with a deck of 32 cards. Damon deals them out unequally, then says: "If you want us to have the same number of cards, do exactly as I say. You, Alfred, divide half of your cards between Brian and Christopher. Then, Brian, you do the same with Christopher and Alfred. Finally, Christopher, you follow suit with Alfred and Brian." How did Damon distribute the cards?

Q58 (1/2 a point) : More Prime Number Problems...
A : What is the third smallest twin prime?
B : What is the fortieth prime number?
C : Apply a primality test to 1017, is it prime?
D : What is the third "Bell Number prime"
E : Apply a primality test to 1361, is it prime?
F : How many digits does the 10,000th prime number have, what is it?
G : What is the next prime after 109?

Luke.

---

- Luke.

No answers yet?

Q57 (1 Point) : Alfred, Brian, Christopher and Damon play with a deck of 32 cards. Damon deals them out unequally, then says: "If you want us to have the same number of cards, do exactly as I say. You, Alfred, divide half of your cards between Brian and Christopher. Then, Brian, you do the same with Christopher and Alfred. Finally, Christopher, you follow suit with Alfred and Brian." How did Damon distribute the cards?

Q58 (1/2 a point) : More Prime Number Problems...
A : What is the third smallest twin prime?
B : What is the fortieth prime number?
C : Apply a primality test to 1017, is it prime?
D : What is the third "Bell Number prime"
E : Apply a primality test to 1361, is it prime?
F : How many digits does the 10,000th prime number have, what is it?
G : What is the next prime after 109?

Luke.

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- Luke.

No answers yet?

Q57 (1 Point) : Alfred, Brian, Christopher and Damon play with a deck of 32 cards. Damon deals them out unequally, then says: "If you want us to have the same number of cards, do exactly as I say. You, Alfred, divide half of your cards between Brian and Christopher. Then, Brian, you do the same with Christopher and Alfred. Finally, Christopher, you follow suit with Alfred and Brian." How did Damon distribute the cards?

Q58 (1/2 a point) : More Prime Number Problems...
A : What is the third smallest twin prime?
B : What is the fortieth prime number?
C : Apply a primality test to 1017, is it prime?
D : What is the third "Bell Number prime"
E : Apply a primality test to 1361, is it prime?
F : How many digits does the 10,000th prime number have, what is it?
G : What is the next prime after 109?

Luke.

Q57: Bit tricky but the deal was:

Alfred - 4
Brian - 7
Christopher - 13
Damon - 8

F.

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