Home » General Chat » Circular File » Puzzle thread Jan. 6
 Puzzle thread Jan. 6 |
Tue, 06 January 2004 22:20  |
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 Ron |
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Sorry that these are late by a day.
Here are this week's puzzles. 24hour timelimit, PM me your answers. 5 correct answers give you 1 chance at being chosen as the Puzzle Master. 6 correct answers give you 2 chances.
1. An enormous military band was marching and playing at an official ceremony. At the beginning, the musicians formed a perfect square; that is, there were the same number of rows and columns. Suddenly, they changed formation and became a rectangle in which the number of columns of musicians was greater by 5 than it had been in the previous formation.
How many musicians were there in the band?
2. In a school there are 158 students. Although there are more girls than boys, only 1/11 of the girls wear glasses, while 1/7 of the boys wear them.
How many boys and how many girls are there in the school?
3. What 5 numbers must be placed in the 5 blanks at the base of this pyramid so that, if in each of the remaining 10 circles is placed the sum of the 2 circles immediately below it, the result is a pyramid of 15 different numbers with the number 97 at the top?
97
o o
o o o
o o o o
o o o o o
4. "Inversion"
The numbers from 1 to 10 are arranged according to strict and unusual criteria. What's the secret to this sequence?
3,9,1,5,10,7,2,4,8,6
5. Use the numbers 1 to 9 to replace each x below, use each number only once, get a correct numerical operation.
SQUAREROOT(xxx)=x+x+x+x+x+x
6. (cultural puzzle, American dates used) On his first voyage, the astronaut was in orbit from 6:34 on May 8 until 1:02 on July 9, a total of 61 days, 19 hours, and 28 minutes.
"How strange," he said upon returning to Earth. "The first date is written 5/8, 6:34, and the second, 7/9, 1:02. Those two dates use all the numbers between 0 and 9, each only once."
The second trip had the same outrageous characteristic: the departure and return dates, both during the same year, were written using all the numbers 0 to 9 only once. But
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[Updated on: Tue, 06 January 2004 22:23]
Ron Miller
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