Last Issue’s Brain Teaser:
Problem:
Solution:
As Assistant Editor of Discover Smith Moun-
tain Lake, “Gremmie” loves to get mail. Here
she is, busy at work, looking over the entries in
our puzzle competition.
If you care to drop her a line, send it to:
Gremlin theWonder Cat
Assistant Editor
Discover Smith Mountain Lake Magazine
P.O. Box 880
Moneta, VA 24121
Or via e-mail at:
GREMMIE’S
Pages
edited by Gerald Muus
If we label each digit a, b, c, d and e, we get the following
equations.
1. b + c = 9
2. a = b
3
3. c + e = 16 (since 16 is the smallest number with five
divisors - 1, 2, 4, 8 and 16).
4. d = 6 * d (The fourth and second-to-last digits are the
same number, meaning d must be zero to satisfy the
equation).
5. b must be zero, one or two (b can’t be three because
that makes a=27, which isn’t a single digit). Zero and one
result in duplicate digits (00907 and 11808 respectively)
so the only remaining value for b is 2, giving us 82709
and warmth.
James Wargo submitted the first correct
entry.
Santa’s garage door code is:
It’s common knowledge that elves are mischievous. Santa Claus left
instructions to one of his elves to store his refurbished sleigh in a garage
with an automatic opener. While the door was closing, the impish elf
tossed the remote into the sleigh. There is a keypad on the outside wall
of the garage that will open the door if the proper 5-digit code is entered.
Using the following information, help Santa figure out the code to get the
door opened.
1.The second and third digits add up to 9.
2.The first digit is equal to the second digit cubed.
3.The sum of the third and fifth digits is the smallest number with exactly
five divisors.
4.The fourth digit is equal to 6 times the second-to-last digit.
5. None of the digits repeat.
Mischievous Elves
8 2 7 0 9
Ophthalmologist and Optometrist
When it comes to
customer satisfaction,
the eyes have it!
“Providing Comprehensive Eye Care With Compassion and Excellence”
OTHER LOCATIONS
SMITH MOUNTAIN LAKE
13295 Booker T. Washington Hwy
540-721-4433
BLACKSBURG
110 Professional Park Drive
540-552-4573
BOTETOURT
33 British Woods Drive
540-992-6768
ROANOKE
1960 Electric Road
540-772-7171
Discover Smith Mountain Lake
Spring 2014
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