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"Simple" Maths Problems II
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jason_gee Send message Joined: 24 Nov 06 Posts: 7489 Credit: 91,093,184 RAC: 0 |
I make that: 2624.3932 (to 4 decimal places) "Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions. |
john deneer Send message Joined: 16 Nov 06 Posts: 331 Credit: 20,996,606 RAC: 0 |
Question 8: 1/2 a Point: The 'fun' part is that the fractional part of the answer is repetitive: 2624.393162393162..... The 393162 is repetitive, for what it's worth ;-) Regards, John. |
Sarge Send message Joined: 25 Aug 99 Posts: 12273 Credit: 8,569,109 RAC: 79 |
Since all numerators and denominators are rational (yes, even the 3.4), then unless it terminated, of course it would have to repeat. Capitalize on this good fortune, one word can bring you round ... changes. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
I make that: 2624.3932 (to 4 decimal places) Congratulations Jason! Fred, you were off by a hair! Standings: 1. Jason Gee - 2 1/2 Points 2. Fred - 1 Point 3. The Gas Giant - 1 Point 4. JDWhale - 1/2 Point 5. TBD... A one-pointer: Question 9: Fifty contestants for the Miss America pageant were arranged in ten rows and five columns on the Boardwalk in Atlantic City. One viewer of this display noticed that of the tallest women in each column that Miss Maryland was the shortest of the five. Another viewer noticed that of the shortest women in each row that Miss Nevada was the tallest of the ten. There are no ties, all fifty women have different heights. Who is taller, Miss Maryland or Miss Nevada? Luke. - Luke. |
jason_gee Send message Joined: 24 Nov 06 Posts: 7489 Credit: 91,093,184 RAC: 0 |
Whew, got a bit confused trying this one but I'll give it a crack, then have a rest after that, as I bet they're going to get harder: - If both in the same row then Miss Maryland is taller.(It said Miss Nevada is shortest in her row) - If in the same column then Miss Maryland is still taller (as it said she's tallest in her column). - If they are neither in the same column or row, and this is where I get confused, any other lady in both Miss Maryland's column & Miss Nevada's row, must be shorter than Miss Maryland & taller than Miss Nevada, So my logically confused guess is that Miss Maryland is taller. "Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions. |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
Whew, got a bit confused trying this one but I'll give it a crack, then have a rest after that, as I bet they're going to get harder: Building on what Jason proposed, the "lady" at the intersection of Miss Maryland's column and Miss Nevada's row is taller than Miss Nevada. And Miss Maryland is taller again, so in all situations Miss Maryland is the taller. Point to Jason, I think. F. |
jason_gee Send message Joined: 24 Nov 06 Posts: 7489 Credit: 91,093,184 RAC: 0 |
Who me? oo ahhh eeeh *blushes*... "Here I am Miss America ..." LoL "Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions. |
JDWhale Send message Joined: 6 Apr 99 Posts: 921 Credit: 21,935,817 RAC: 3 |
Though extraneous... I'm curious which two contestants were absent? |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
Though extraneous... I'm curious which two contestants were absent? I would guess that the whiskers on the question may give a clue? F. |
jason_gee Send message Joined: 24 Nov 06 Posts: 7489 Credit: 91,093,184 RAC: 0 |
The two hecklers analysing Heights (when they should be looking elsewhere) are probably from the other two states. "Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions. |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
Though extraneous... I'm curious which two contestants were absent? Hang on - according to Wikipedia there are only 50. Being from the other side of the pond I had to look it up when my son pointed it out! F. |
jason_gee Send message Joined: 24 Nov 06 Posts: 7489 Credit: 91,093,184 RAC: 0 |
I'm sure the US has (at least) two more lovely ladies that like to line up in rows and columns for statistical analysis. "Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions. |
Mumps [MM] Send message Joined: 11 Feb 08 Posts: 4454 Credit: 100,893,853 RAC: 30 |
I'm sure the US has (at least) two more lovely ladies that like to line up in rows and columns for statistical analysis. Actually, the contest includes contestants from both the District of Columbia and the Virgin Islands. Neither of which are states, but both of which are represented. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
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Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
Jason wins again! Come on everyone else, catch him up! Q10: 352.6373 F. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
Jason wins again! Come on everyone else, catch him up! Ok, after the long closure, I announce Fred the winner of that Question! Well Done Fred! Standings: 1. Jason Gee - 3 1/2 Points 2. Fred - 1 1/2 Point 3. The Gas Giant - 1 Point 4. JDWhale - 1/2 Point 5. TBD... Question 11: 843.8*762/13.33=? Luke. - Luke. |
JDWhale Send message Joined: 6 Apr 99 Posts: 921 Credit: 21,935,817 RAC: 3 |
e^10.783844921 -+ 10E-5 |
jason_gee Send message Joined: 24 Nov 06 Posts: 7489 Credit: 91,093,184 RAC: 0 |
... Assuming we're using that * is multiplication, then: 843.8*762/13.33 = 48235.2288 (4 decimal places), which is the same as JD's weird answer... otherwise, if it's meant to be a division, as weirdly implied in some earlier problems, then it's rewritten: (843.8/762)/13.33 = 0.0831 (4 decimal places) the word for the day is 'weird' "Living by the wisdom of computer science doesn't sound so bad after all. And unlike most advice, it's backed up by proofs." -- Algorithms to live by: The computer science of human decisions. |
Luke Send message Joined: 31 Dec 06 Posts: 2546 Credit: 817,560 RAC: 0 |
For that question, I will award JD & Jason a 1/2 Point.... Well Done both of you! Standings: 1. Jason Gee - 4 Points 2. Fred - 1 1/2 Point 3. The Gas Giant - 1 Point 4. JDWhale - 1 Point 5. TBD... Question 12 (1 Point) : Four people need to cross a bridge at night. The bridge is only strong enough to hold at most two people at once. Because it is night a flashlight must be used for all crossings. It takes person A ten minutes to cross, person B five minutes, person C two minutes, and person D one minute. If two cross at the same time they must walk at the slower man's pace. How can you get everyone across in 17 minutes? Luke. - Luke. |
Fred W Send message Joined: 13 Jun 99 Posts: 2524 Credit: 11,954,210 RAC: 0 |
For that question, I will award JD & Jason a 1/2 Point.... Well Done both of you! Q12: C & D cross = 2 mins. D returns = 3 mins A & B cross = 13 mins C returns = 15 mins C & D cross = 17 mins. NB This will also work if C returns from the first crossing, in which case the timing sequence will be 2; 4; 14; 15; 17 F. |
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