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ELITE EIGHT: East & West Regions
EAST:
Game G:
H: Arithmetic mean of the town with the zip code that is the ninth-largest possible five-digit number that consists of the digits from 0 to 4 in some order without repetition, and the town that is home to the site of the first land battle of the American Revolution to take place south of New England.
L: Denomination in cents of the United States postage stamp issued to honor the man (who is NOT the U.S. president whose wife died three days after another First Lady was born) who received twice as many electoral votes in a U.S. Presidential election as did a candidate who ran in a different election, the year the highest percentage of the electoral votes went to candidates who did not win.
WEST:
Game G:
H: Find the 2-digit number formed by the last two digits of the undefined ninth number in the following puzzle. The last two digits may be all or only part of the number.
In this pattern:
x
x x
x x x
x x x x
put a single digit in each position, forming nine numbers of two, three, or four digits, all reading left to right (slanting up, slanting down, or straight across) , with no leading zeros allowed. Eight of the nine numbers are defined by the clues A-H, but matching clue to position is left to the solver!
A – Age that was celebrated on his birthday in G by a man born in the state of New York the year before E
B – The largest number in the puzzle
C – A factor of F
D – Two different digits, of course, as no digit appears twice in the puzzle
E – Same clue as G
F – The smallest composite number in the puzzle
G – Year, see A
H – No digit in this precedes a larger one
L: Find the sum of the Order of Admission to the Union PLUS its Rank in Area of the state which has a "Kent" and a "Winston" name in its list of counties, PLUS ONE, which equals the sum of the Rank in Area plus the Order of Admission of a state which has a city located seven and a half miles south of the Canadian border in a county with the same name as the county adjacent to a county with a "spice" name, in another state, less the difference of the date on the latter state's flag and the date on the flag of the state that begins with the same letter as the state whose Order of Admission was in the same month (not year) as the state whose capital has the same name as a city in a neighboring state.
Comments
That xxx pattern question is giving me FITS. It took me about a half hour to even understand what it was asking for, and now I am stumbling into a whole lot of other problems. I have a brilliant theory (it's brilliant if it is right!), otherwise, I am stuck as how to possibly answer it.
This is a very tricky contest.
Posted by: Michael | Mar 28, 2005 2:15:14 PM
We found this to be one of the most satisfying puzzles in the group. It helps to use a little arithmetical supposition, but it was certainly one of the most funnest.
Posted by: DonV | Mar 28, 2005 10:20:26 PM
I believe my 'brilliant theory' was actually an unnecessary attempt at 'thinking outside the box'. I spent some time last night, and had drawn the irrefutable conclusion that there was no answer. But I missed something (meaning, to anyone who has tried this question, that I had to start again). I have never seen a puzzle like this one before - it is ingenious.
Posted by: Michael | Mar 30, 2005 2:20:41 PM
Finally got it (I'll call it the bowling pin puzzle). Good one.
Posted by: Michael | Mar 31, 2005 8:22:00 AM
For West Game G, Lower Seed, I think I caught onto the shorter "left side" of the equation, but in trying to confirm the values on the "right side", I'm running into multiple answers depending upon how "...less the difference of the date on the latter state's flag and the date on the flag of the state..."
Are we to assume that in finding the difference, the "latter state's flag" will have a date (i.e., number) that is a higher value than "the date on the flag of the state..."? In other words, does "difference" strictly equate to (A-B), with A being listed before B, or could it be interpreted as either (A-B) or (B-A)?
Posted by: Sean F | Apr 22, 2005 12:57:40 AM
Difference is the absolute value of A-B.
Posted by: JmSR | Apr 22, 2005 6:59:38 AM
EAST:
G: WI St.-Faber: 92-75 Wisconsin St.
GH:
A) 92
The towns in question are Eighty-Eight, Kentucky (with a zip of 42130), and Ninety-Six, South Carolina (see http://www.nps.gov/nisi/ for information on the Ninety-Six Historic Site).
GL:
That year would be 1824, when three losing candidates garnered a total of 177 electoral votes, against only 84 for winner John Quincy Adams! He got less than a third of them! (Loser Jackson had 99, more than Adams, but that’s another story—politics!) The four amounts are 84, 99, 37, and 41, respectively halves of 168, 198, 74, and 82. Grover Cleveland got 168 electoral votes when he lost to Harrison in 1888, but his wife Francis died Oct 29, 1947, three days after the birth of Hillary Rodham on Oct 26! The only other number in election results is the 82 electoral votes garnered by Wendell Willkie in 1940, when he lost to FDR. Willkie was depicted and honored on only one U.S. stamp, a 75¢ stamp issued Feb 16, 1992, as part of the Great Americans series. (Scott # 2192) Answer 75
WEST:
G: St. D's-Larry: 67-44 St. Dunstan's
GH:
Per D, each of the 10 digits appears once, and per directions, no leading zero is allowed. B, E, and G are obviously the three 4-digit numbers, two of which begin with a common digit. The birthday in A was celebrated past tense, and the only post-1999 years so far contain two zeros, so both years begin with 1, thus must be the pair with the common first digit in the leftmost position of the diagram. Therefore 1 cannot begin a 3-digit number, so the age in A must be a 2-digit number. As D is also a 2-digit number, the third cannot be F, because its factor C would have to be a fourth one. So the smallest composite number F is 3 digits, and all 2-digit numbers are prime! Considering New York statehood, and age < 100, the years E and G must be either 17xx-18xx or 18xx-19xx. Both 78 and 87 are composite, as is 98, so the 2-digit prime making the 2nd digits (slanting down) must be 89. The remaining 2-digit primes must end in 3 and 7, in one of these two patterns:
. .
. 7 . 3
8 . 3 8 . 7
1 9 . . 1 9 . .
Primes ending in 3 and 7 and beginning with remaining non-zero digits 2, 4, 5, or 6 are 23, 43, 53, 47, and 67. The 3-digit number slanting down must be F, as the other two 3-digit numbers begin with largest digits 8 and 9.
It must be a multiple of 23, 43, 53, 47, or 67, composed of three of 2, 4, 5, 6, or middle digit 0. A quick dash on a calculator through their multiples between possible extremes 204 and 654 shows that choices are few:
23 – 506
43 – 602 or 645
53 – 265
47 – 564
67 – 402
But the third digit of the 19th century year must be larger than that of the 20th century year (as age in A < 100).
This leaves only 602, 645, 564, and 402 as possibilities. In each case the 7 and 3 only make primes one way, so we have four possibilities,
I . II . III . IV .
6 7 6 7 5 3 4 7
8 0 3 8 4 3 8 6 7 8 0 3
1 9 2 . 1 9 5 . 1 9 4 . 1 9 2 .
Only in III is the factor present: 564 is divisible by 47. The zero must go at LR, leaving top position for the 2, and we have:
2
5 3
8 6 7
1 9 4 0
So, someone born in 1851 was 89 in 1940. This is a confirmation of redundant information, without which the solution could still have been found, or which could have been used for an alternate, longer solution method, but its use in the early stages quickly narrowed the search.
Matching the clues:
A – 89
B – 2370
C – 47
D – 53
E – 1852
F – 564
G – 1940
H – 963
Undefined – 867 -- Contest answer is thus 67
{Ed-sorry about the formatting. Please e-mail if you need it more clearly. }
GL:
"Kent" and "Winston" = Clark and Churchill, Nevada, 36 (order of ad.), 7 (rank)
Rank =46, order =9, New Hampshire, City= Colebrook ; County = Coos (also in Oregon, with the "spice" county, Curry...flag date =1859)
Another state flag = Wisconsin 1848
Wyoming, July......same as New York, whose capital is Albany. Neighboring state=New Jersey
Answer: 44
Posted by: JmSR | Apr 25, 2005 7:58:09 PM
EAST
GH was written by Adam Fromm
GL was written by Bob Lodge
WEST
GH was written by Bob Lodge
GL was written by Antoinette D'Ammora
Posted by: JmSR | Apr 26, 2005 9:07:21 AM
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