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Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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. - Luke. |
William Rothamel Send message Joined: 25 Oct 06 Posts: 3756 Credit: 1,999,735 RAC: 4 |
just woke up . It is 11/7 antifreeze to water. Did you give fred his point ? |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
Just woke up. It is 11/7 antifreeze to water. 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 Q53: The digits in this addition problem have been replaced by letters.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. - Luke. |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
Just woke up. It is 11/7 antifreeze to water. Objection, Ref. I had 10 1/2 points before answering Bill's question. I still have 10 1/2 points !!?!! F. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
Just woke up. It is 11/7 antifreeze to water. 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. |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
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. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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? - Luke. |
William Rothamel Send message Joined: 25 Oct 06 Posts: 3756 Credit: 1,999,735 RAC: 4 |
Been painting the coping on my pool and trying to find the water leak.. Can't we rehabilitate Guido, Kevvy and Sarge ?? regards, Bill |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
I'm not quick enough on the draw to compete with you guys. 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. - Luke. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
Q54: 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. |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
Q54: 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. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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. - Luke. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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. |
William Rothamel Send message Joined: 25 Oct 06 Posts: 3756 Credit: 1,999,735 RAC: 4 |
Any Answers Yet?.... 64 1x1 squares 204 total squares 124 squares for answer C |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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. - Luke. |
William Rothamel Send message Joined: 25 Oct 06 Posts: 3756 Credit: 1,999,735 RAC: 4 |
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] |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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. - Luke. |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
No answers yet? Q57: Bit tricky but the deal was: Alfred - 4 Brian - 7 Christopher - 13 Damon - 8 F. |
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