"Simple" Maths Problems II

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Profile jason_gee
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Message 781949 - Posted: 13 Jul 2008, 0:54:24 UTC

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.
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Message 781970 - Posted: 13 Jul 2008, 2:28:00 UTC - in response to Message 781829.  

Question 8: 1/2 a Point:

(220*3.4/18)*(821/13)=?

Luke.



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.
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Message 781979 - Posted: 13 Jul 2008, 2:56:32 UTC

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.
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Message 782064 - Posted: 13 Jul 2008, 6:56:49 UTC - in response to Message 781949.  

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.
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Message 782075 - Posted: 13 Jul 2008, 8:11:40 UTC
Last modified: 13 Jul 2008, 8:11:58 UTC

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.
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Message 782105 - Posted: 13 Jul 2008, 9:59:55 UTC - in response to Message 782075.  

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.

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.
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Message 782112 - Posted: 13 Jul 2008, 10:47:21 UTC

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.
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Message 782113 - Posted: 13 Jul 2008, 10:48:59 UTC

Though extraneous... I'm curious which two contestants were absent?
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Message 782114 - Posted: 13 Jul 2008, 10:52:56 UTC - in response to Message 782113.  

Though extraneous... I'm curious which two contestants were absent?

I would guess that the whiskers on the question may give a clue?

F.
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Message 782115 - Posted: 13 Jul 2008, 11:03:08 UTC

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.
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Message 782122 - Posted: 13 Jul 2008, 11:50:11 UTC - in response to Message 782113.  

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.
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Message 782128 - Posted: 13 Jul 2008, 12:24:34 UTC
Last modified: 13 Jul 2008, 12:30:44 UTC

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.
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Message 782173 - Posted: 13 Jul 2008, 15:37:33 UTC - in response to Message 782128.  

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.
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Message 782378 - Posted: 13 Jul 2008, 21:50:46 UTC

Jason wins again! Come on everyone else, catch him up!

Standings:
1. Jason Gee - 3 1/2 Points
2. Fred - 1 Point
3. The Gas Giant - 1 Point
4. JDWhale - 1/2 Point
5. TBD...

Question 10 (1/2 Point):

(8(cubed)*12)/(15.3+2.123)=?

Luke.

- Luke.
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Message 782383 - Posted: 13 Jul 2008, 22:05:40 UTC - in response to Message 782378.  

Jason wins again! Come on everyone else, catch him up!

Standings:
1. Jason Gee - 3 1/2 Points
2. Fred - 1 Point
3. The Gas Giant - 1 Point
4. JDWhale - 1/2 Point
5. TBD...

Question 10 (1/2 Point):

(8(cubed)*12)/(15.3+2.123)=?

Luke.

Q10: 352.6373

F.
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Message 783130 - Posted: 17 Jul 2008, 0:44:03 UTC - in response to Message 782383.  
Last modified: 17 Jul 2008, 0:44:44 UTC

Jason wins again! Come on everyone else, catch him up!

Standings:
1. Jason Gee - 3 1/2 Points
2. Fred - 1 Point
3. The Gas Giant - 1 Point
4. JDWhale - 1/2 Point
5. TBD...

Question 10 (1/2 Point):

(8(cubed)*12)/(15.3+2.123)=?

Luke.

Q10: 352.6373

F.


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.
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Message 783144 - Posted: 17 Jul 2008, 1:37:09 UTC - in response to Message 783130.  


Question 11: 843.8*762/13.33=?


e^10.783844921 -+ 10E-5
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Message 783318 - Posted: 17 Jul 2008, 12:18:12 UTC - in response to Message 783130.  

...
Question 11: 843.8*762/13.33=?


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.
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Message 784085 - Posted: 18 Jul 2008, 20:28:41 UTC
Last modified: 18 Jul 2008, 20:29:12 UTC

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.
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Message 784091 - Posted: 18 Jul 2008, 20:48:46 UTC - in response to Message 784085.  

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.

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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