Guntia Cache III - Günzburgs Third Multi-cache

Way-point

Coordinates

Instructions and Riddles

Results and Calculations

1

N 48° 27.713
E 010° 17.390

Starting Point: (Park your car here.)

First Puzzle:

A block of wood in the form of a cuboid 3" x 8" x 13" has all its six faces painted pink. If the wooden block is cut into 312 cubes of 1" x 1" x 1", how many of these would have pink paint on them?

wooden block).

>> Solution A

A=

 

B= (A*3)-26=

 

C= (2*A)-140=

2

N 48° 27.B
E 010° 17.C

Second Point:

At this point you can see a sign with a 4 digit number on it:

_  _  _  _

D  E  F  G

Second Puzzle:

The distance between Station Athena and Station Barcia is 78 miles. A train starts from Athena towards Barcia. A bird starts at the same time from Barcia straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcia. The bird makes these journeys from Barcia to the train and back to Barcia continuously till the train reaches Barcia. The bird finally returns to Barcia and rests. Calculate the total distance in miles the bird travels in the following two cases:

(a) the bird flies at 70 miles per hour and the speed of the train is 60 miles per hour    >> Solution H 

(b) the bird flies at 60 miles per hour and the speed of the train is 70 miles per hour     >> Solution I

D=

E=

F=

G=

H=

I=

J=( (D+E+F+G)*30+((I/9*6)-5)*2=

K=(E*50)+I=

3

N 48° 27.J
E 010° 17.K

Third Point:

You are standing in front of a pavilion. Count the vertical bars.

>> Solution L
 

Third Puzzle:

Bozo weighs 160 pounds more than his sister, Michelle. Their combined weight is 180 pounds. How many pounds does Bozo weigh?

>> Solution M

L=

M=

N = (M*5)-(L*4)+1=

O = (M*4) –
(M-(L-2)^2)=

4

N 48° 27.N
E 010° 17.O

Fourth Point:  

You are standing in front of a tree. On the tree you can see a sign. The sign tells you (12 letters):

_ _ _ _ _ _ _ _ _  _   _   _

1 2 3 4 5 6 7 8 9 10 11 12

Take the second letter and take its position in the alphabet:
>> Solution P

Take the eleventh letter and take its position in the alphabet:
>> Solution Q

Fourth Puzzle:

If the difference of two numbers is 8 and their product is 18, what is the sum of their squares?

>> Solution R

P=

Q=

R=

S= (7*R) +(P+Q)*43=

T=(7*R)
– (P+Q)*2=

5

N 48° 27.S

E 010° 17.T

Fifth Point:

You are standing in front of a building. You can see U persons.

Fifth Puzzle:
It was vacation time, and so I decided to visit my cousin's home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 15 mornings when we did nothing, 11 evenings when we stayed at home, and a total of 12 days when we jogged or played tennis. For how many days did I stay at my cousin's place?
>> Solution V

U=

V=

W=(73*U)
+ (V-9)=

X=(68*U)

+ V + 2 =

6

N 48° 27.W

E 010° 17.X

 

Sixth Point:

You are standing in front of a railway sign (be careful, watch for your children!). You can see a two digit number _  _

            Y Z
and direct below a one digit number
_
A1

Sixth Puzzle:

Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 6 of his balls they would have an equal number; but, if Glenn would give Jason 6 of his balls, Jason would have 4 times as many balls as Glenn. How many balls does Jason have?

>> Solution A2

Y=

Z=

A1=

A2=

A3=
(A2 – Y – Z -1)*7=

A4=(Z*100)
+2*A2+1=

7

N 48° 27.A4

E 010° 18.0A3

Seventh Point:

You are standing in front of a sign. On the bottom of the sign you can read a word with 11 letters:

_ _ _ _ _ _ _ _ _  _  _

1 2 3 4 5 6 7 8 9 10 11

Take the second letter and take its position in the alphabet:
>> Solution A5

Take the fifth letter and take its position in the alphabet:
>> Solution A A6

Seventh Puzzle:

"Dad, where had you been?" asked Warren.
"I had been to the attic, my son," replied Dad. "And do you know what I saw there? There was a big web with 17 spiders and flies on it."
"How many spiders were there?" asked the little boy with curiosity.
"Well, there were a total of 110 legs on the web," answered Dad with a smile. "Now you can find out how many spiders were there by yourself. Can't you?"
Can you help the little boy find out how many spiders were on the web in the attic? >> Solution A7

A5=

A6= AA6+1 =

A7=

A8=

A6*71*(A7/2)=

A9=
A5*38+(A6/2)=

8

N 48° 27.A8

E 010° 18.A9

Eights Point:

You are standing in front of a cross (nearby you can see a mirror…). There are two year numbers on the cross.

B1= Year 1 – Year 2

Eights Puzzle:

Grandpa:
"My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 160 years. Can you tell me my age in years?"
>> Solution B2

B1=

B2=

B3= B1-2=

B4=(B2*9)
-(B1-22)=

9

N 48° 27.B4

E 010° 18.0B3

Ninth Point:

You are standing in front of a huge building. There is a big portal. Direct above the portal you can see B5 windows.

Ninth Puzzle:

Consider 23 lines drawn at a tangent to an ellipse. The lines break up the plane into several regions, some bounded (i.e., enclosed) and others unbounded. How many unbounded regions are there? (You may draw…)
 >> Solution B6

B5=

B6=

10

N 48° 27.794

E 010° 18.040

Tenth Point:

At this point take the direction KREUZWEG.

N 48° 27.B7

E 010° 17.B8

Final Calculation:

B7= 10*B6 +10*B1 + 2*Y +
(A6*4 + 4)=

B8= (B6+B1)*A6+B6*2*P+(P+L)*3=

Cache Position:

(You have to leave the way !)

N 48° 27.B7

E 010° 17.B8

Congratulations you are at the cache position. The cache is hidden under roots of a tree stump. Look around… (If you have problems take the spoiler photo)

Please hide it well again after you found it.

HAVE FUN !!