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Should I put more up?
Yes
100%
 100%  [ 7 ]
No
0%
 0%  [ 0 ]
Total Votes : 7

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Corteo
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Joined: 23 Mar 2007
Posts: 138

PostPosted: Wed May 16, 2007 3:43 pm    Post subject: Bags of Dollars Reply with quote

Divide $135 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $135, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?

Post your answer here!

I'll try to put the answer up May29th!
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Corteo
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Joined: 23 Mar 2007
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PostPosted: Wed May 30, 2007 9:36 am    Post subject: Reply with quote

The answer is 8
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Corteo
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Joined: 23 Mar 2007
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PostPosted: Tue Jul 31, 2007 3:46 pm    Post subject: Reply with quote

On a train, Smith, Robinson, and Jones are the fireman, brakeman, and the engineer, but NOT respectively. Also aboard the train are three businessmen who have the same names: a Mr. Smith, a Mr. Robinson, and a Mr. Jones.

1.Mr. Robinson Lives in Detroit.

2.he brakeman lives exactly halfway between Chicago and Detroit

3.Mr. Jones earns exactly $20,000 per year.

4.The brakeman's nearest neighbor, one of the passengers, earns exactly three times as much as the brakeman.

5.Smith beats the fireman in billiards.

6.The passenger whose name is the same as the brakeman's lives in Chicago.

Who is the Engineer?

I'll put up the answer August 3
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Corteo
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Joined: 23 Mar 2007
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PostPosted: Wed Aug 01, 2007 3:52 pm    Post subject: Reply with quote

Catherine is the winner! The answer is Smith.
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Corteo
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PostPosted: Wed Aug 01, 2007 3:58 pm    Post subject: Reply with quote

A cylinder 72 cm high has a circumference of 16 cm. A string makes exactly 6 complete turns round the cylinder while its two ends touch the cylinder's top and bottom. How long is the string in cm?
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celtic_girlakp
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Joined: 08 Jun 2007
Posts: 561
Location: South Carolina

PostPosted: Thu Aug 02, 2007 12:33 pm    Post subject: Reply with quote

do we post the answer here or in a PM?
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Scott
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Joined: 18 Feb 2007
Posts: 504

PostPosted: Thu Aug 02, 2007 2:04 pm    Post subject: Reply with quote

post where everyone can see.
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celtic_girlakp
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Joined: 08 Jun 2007
Posts: 561
Location: South Carolina

PostPosted: Mon Aug 06, 2007 12:39 pm    Post subject: Reply with quote

well it may take a while to answer cause I am not good at these math problems.
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Corteo
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Joined: 23 Mar 2007
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PostPosted: Fri Aug 24, 2007 2:16 pm    Post subject: Reply with quote

Solution:

The figure alongside illustrates how the cylinder can be unrolled into a rectangle for the case where the string makes exactly 4 complete turns.

For the given problem, the cylinder can be unrolled into a rectangle with dimensions 72 cm by 16 cm. The string thus creates 6 diagonal lines whose measure can be found out by considering the 6 right triangles they can form:

- the base of the triangle is 16 cm and the height is 1/6 of 72 or 12 cm.
- from these, we can get the measure of one diagonal line as 20 cm [i.e., (162 + 122) 1/2] by using the Pythagorean theorem.
- therefore, the whole string measures 120 cm (i.e., 6 x 20 cm
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celtic_girlakp
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PostPosted: Sat Aug 25, 2007 12:12 pm    Post subject: Reply with quote

Wow Corteo nicely done. Got another?
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Corteo
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PostPosted: Mon Aug 27, 2007 12:00 pm    Post subject: Reply with quote

I think I'll take a small rest.
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celtic_girlakp
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PostPosted: Mon Aug 27, 2007 5:27 pm    Post subject: Reply with quote

You go for it. You deserve it!
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