The Puzzler - August 2011

Math, Science and Logic Puzzles - for the "enginerd" in all of us
(re-printed with permission from Pzzls - www.pzzls.com)

The Smith Jones Robinson Riddle

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. Using the clues below, determine the identity of the engineer.

Mr. Robinson lives in Detroit.
The brakeman lives exactly halfway between Chicago and Detroit.
Mr. Jones earns exactly $20,000 per year.
The brakeman's nearest neighbor, one of the passengers, earns exactly three times as much as the
brakeman.
Smith beats the fireman in billiards.
The passenger whose name is the same as the brakeman's lives in Chicago.

Apple

Eric has a perfect spherical shaped apple. With a cylindrically shaped drill bit, he removes the core of the apple. A cylindrically shaped hole remains — the center of this hole is exactly at the center of the apple. Eric measures the length of the hole with a piece of rope. It turns out to be exactly 8 cm. What is the volume of the remaining apple?

Eiffel Tower

The Eiffel tower in Paris, has including the TV antenna, a height of 321 meters. It is made out of 7 million kg steel. Somebody would like to build a scale model of this tower with a weight of 1 kg. How tall will this scale model be?