Word Problems Mystery Cache
-
Difficulty:
-
-
Terrain:
-
Size: 
(other)
Please note Use of geocaching.com services is subject to the terms and conditions
in our disclaimer.
This is a keyword puzzle.
A. The winning lottery ticket is a four digit number containing no zeros and no repeated digits. The sum of the second and fourth digits is the first digit; the sum of the first and fourth digits is the third digit; the first and fourth digits are odd numbers; and the difference between the third and second digits is greater than two. What is the winning four digit number? AAAA
B. Two cachers walk down two identical escalators, one escalator is moving up and the other is moving down (at the same speed). They each take one step per second and step on each step. The cacher walking down the down escalator takes 24 steps to reach the bottom, and the cacher walking down the up escalator takes 120 steps to reach the bottom. If the escalators had not been moving, how many steps would either of the cachers have taken to reach the bottom? BB
C. All of the cache containers at the cache container store come with a coupon. Every 4 coupons can be traded in for a free container (that comes with another coupon). If the containers cost $2 each how many can a cacher acquire by spending $56 and trading in all the coupons? CC
D. I have six packages of nanos, each package containing fewer than 20 nanos. When I open the first five packages and count the nanos I find a total of 90. The last package contains five fewer than the average number of nanos in all six packages. How many nanos are in the last package? DD
E. A 3 player card game uses a 60 card deck for each round. A game consists of 20 rounds. The number of cards each player gets is the same as the round number. Scoring is based on the number of cards held at the end. After which round number is the game halfway over (scoring wise)? EE
The keyword is the number you get from this equation: AAAA - BBCC - DDEE
You can validate your puzzle solution with certitude.
Additional Hints
(No hints available.)