The worlds first riddle!

Totally with you:

KST in the middle
IN the first
AND at last

Making it INKSTAND...

welcome to this forum Rashad

Adrian, I can barely conceal my delight when reading a post from one so far. That is up to the point when you were right for the 100th time. How do you do it mate?

"A store for wine production contained 100 kg of grapes. An analysis showed that the water content of the wine grapes is 99 %. Later on, the analysis was rerun with a result of 98 % water."

What was the weight of the grapes at that time?

Quote Adrian, "'Twould be 50kgs."

The water content of the grapes decreased to 98 %, therefore the dry matter increased to:
dry matter = 100 % - 98 % = 2 %. The dry matter is still 1 kg (at the beginning, the dry matter was 100 % - 99 % = 1 %, corresponding to 1 kg).

Hence, the total weight of the grapes is 1 kg × (100 % ÷ 2 %) = 50 kg.
It sounds paradoxical but to reduce the water content of the grapes by 1 %, it was necessary to evaporate 50 kg of water, i.e. half of the original grapes' weight!


"Name one eight letter word that has kst in the middle, in the beginning, and at the end."

Quote Whim,

'inkstand'

Whim, I will name my next born after you.

Quote Rashad, "Totally with you:"

Rashad, may I echo Magnums welcome, good start.

This could be the most difficult question…ever!

From a mathematical point of view, the number "ten" has nothing in particular. We are accustomed to it because we have ten fingers. If we'd have just four fingers, we'd certainly count
1, 2, 3, 10, 11, 12, 13, 20, 21, ...
instead of
1, 2, 3, 4, 5, 6, 7, 8, 9, ...
And in place of 3 + 5 = 8, we'd say 3 + 11 = 20.


This could be burdensome for astronauts. If we buy into the idea of some authors, Nusians don't own hands and fingers, but they have some antennae growing out of their forehead. These creatures presumably don't count up to ten, but up to the number of their antennae. This may result in the following conversation:

Earthling: "I've noticed you have much bigger families than we have on earth. How many children do you own?"

Nusian (scratching his back of the head with an antenna): "Well, I have 43 sons and, let's see, 52 daughters. 125 children altogether"

How many children does the Nusian have (in terrestrial numbers) , and how many antennae grow out of his forehead

Good luck

……..MARS
+ VENUS
+ SATURN
+ URANUS
=NEPTUNE

What is the number of Neptune

What, still reading?

Two flies are sitting on a column, one at the bottom (x) and the other at the top (y). The distance between them is 126 cm. The column is decorated with a stripe which is winded 3.5 times around the column. The stripe has a bottom silver border and a top golden border. The column's circumference is 48 cm.

Suddenly, the bottom fly starts crawling from point x (the lowermost end of the golden border) along the golden border. At the same time, the other fly at y (the uppermost end of the silver border) crawls downwards along the silver border.

What distance have the flies covered when they are at the same height

MARS + VENUS + SATURN + URANUS = NEPTUNE
4593 + 20163 + 358691 + 695163 = 1078610


Whim

3 + 11 = 20 shouldn't this be 32 counting in base 4 ???

i work out the riddle later on

nvermind my last post

From a mathematical point of view, the number "ten" has nothing in particular. We are accustomed to it because we have ten fingers. If we'd have just four fingers, we'd certainly count
1, 2, 3, 10, 11, 12, 13, 20, 21, ...
instead of
1, 2, 3, 4, 5, 6, 7, 8, 9, ...
And in place of 3 + 5 = 8, we'd say 3 + 11 = 20.


This could be burdensome for astronauts. If we buy into the idea of some authors, Nusians don't own hands and fingers, but they have some antennae growing out of their forehead. These creatures presumably don't count up to ten, but up to the number of their antennae. This may result in the following conversation:

Earthling: "I've noticed you have much bigger families than we have on earth. How many children do you own?"

Nusian (scratching his back of the head with an antenna): "Well, I have 43 sons and, let's see, 52 daughters. 125 children altogether"

How many children does the Nusian have (in terrestrial numbers) , and how many antennae grow out of his forehead.



If we want to solve the riddle we must know in wich base he is counting.

when I saw i was miscounting in the example I came to the idea how can deduce this.
number twenty is made out of a 2 and a 0
in the example we were counting in base four, and we knew that this number was eight in our own system, because 2*4 = 8
8+0 = 8

we know that de Nusian has 43 sons 52 daughters making 125 children, with this info we cam make the equation -->

(5x + 2) + (4x + 3) = (x*x + 2x + 5)
working out the equation we have x=0 or x=7
x=0 doesn't lead to a solution therefore x must be 7

The Nusian is counting in base 7

He has 31 sons and 37 daughters making 68 children overall

What a day! First, we had Whim who came up with;
"MARS + VENUS + SATURN + URANUS = NEPTUNE
4593 + 20163 + 358691 + 695163 = 1078610"

Then just when I thought, things could get no better. Magnum said;
"we know that de Nusian has 43 sons 52 daughters making 125 children, with this info we can make the equation -->

(5x + 2) + (4x + 3) = (x*x + 2x + 5)

working out the equation we have x=0 or x=7
x=0 doesn't lead to a solution therefore x must be 7
The Nusian is counting in base 7
He has 31 sons and 37 daughters making 68 children overall "

A big round of applause for them both.


Problem: two trains enter a tunnel 200 miles long (yeah, it's a big tunnel) travelling at 100 mph at the same time from opposite directions. As soon as they enter the tunnel, a supersonic bee flying at 1000 mph starts from one train and heads toward the other one.

As soon as it reaches the other one it turns around and heads back toward the first, going back and forth between the trains until the trains collide in a fiery explosion in the middle of the tunnel (the bee survives).

How far did the bee travel


Problem: a bad king has a cellar of 1000 bottles of delightful and very expensive wine. a neighbouring queen plots to kill the bad king and sends a servant to poison the wine. (Un) fortunately the bad king's guards catch the servant after he has only poisoned one bottle. Alas, the guards don't know which bottle but know that the poison is so strong that even if diluted 1,000,000 times it would still kill the king.

Furthermore, it takes one month to have an effect. The bad king decides he will get some of the prisoners in his vast dungeons to drink the wine. Being a clever bad king, he knows he needs to murder no more than 10 prisoners - believing he can fob off such a low death rate - and will still be able to drink the rest of the wine at his anniversary party in 5 weeks time.

How could it be done

I'll give you a hint. 1000 is less than 1024. If there were 1024 or more bottles of wine, it would take more than 10 prisoners.


Grandfather is a very hard-boiled customer. In fact, his eggs must be boiled for exactly 15 minutes, no more, no less. One day he asks you to prepare breakfast for him, and the only timepieces in the house are two hourglasses. The larger hourglass takes 11 minutes for all the sand to descend; the smaller takes 7 minutes.

What do you do Grandfather grows impatient...

Grandfather is a very hard-boiled customer. In fact, his eggs must be boiled for exactly 15 minutes, no more, no less. One day he asks you to prepare breakfast for him, and the only timepieces in the house are two hourglasses. The larger hourglass takes 11 minutes for all the sand to descend; the smaller takes 7 minutes.

What do you do Grandfather grows impatient...


you turn both glasses and after 7 min you turn around the smaller glass again (this one is "empty" after 7 min). then the larger glass will take another 4 min to descend, so with the smaller glass you will messure exactly 4 minutes. When the larger glass is "empty" 11 min has past and you'll turn around again the smaller one wich contains the last 4 minutes to make the 15 complete

Problem: two trains enter a tunnel 200 miles long (yeah, it's a big tunnel) travelling at 100 mph at the same time from opposite directions. As soon as they enter the tunnel, a supersonic bee flying at 1000 mph starts from one train and heads toward the other one.

As soon as it reaches the other one it turns around and heads back toward the first, going back and forth between the trains until the trains collide in a fiery explosion in the middle of the tunnel (the bee survives).

How far did the bee travel

the tunnel is 200 miles long and both tranis travel 100 miles so they meet exactly in the middle of the tunnel at 100 miles. so the trains have travelled an hour and the supersonic bee has also travelled an hour.
The distance of the bee is 1000 miles

it mut have something to do with binairy numners but i don't know what

After a long thought i've found the answer

label bottle 1 until 1000 in their binairy code of 10 digets.

example 700 --> 1010111100

and you give the prisoners the codes :
1 = 2^0
2=2^1
3=2^2 etc.

then you have unique combinations and in example of bottle number 700 prisoner 10, 8, 6, 5, 4, 3 must drink the wine.
After a month you can wich prisoners are dead then you can deduce wich bottle it was.

(BLT#1) The strange case of Harry Trotter's routine

It was Monday and Harry had just awoken from a good night's sleep. He lived on the 16th floor of an expensive block of flats in Paris - his apartment comprised 3 beds plus 3 reception rooms. He was a banker in the City and was proud of his position.

Harry got up, washed, shaved, dressed and had breakfast (today it was a smoked salmon and black coffee). At 8.30am, he put on his jacket, picked up his smart leather briefcase with gold trim and left his apartment.

He got into the lift, pressed G and when the lift reached the ground floor, Harry got out and walked the mile to his office.
At 5.30pm, Harry left his office to go home. He walked the mile to his block of flats, got into the lift and pressed 12. When the lift reached the 12th floor, he got out and walked up the four floors to the 16th floor and his apartment. Harry always followed this regular routine without fail.

The question is:
Why did Harry always get out on the 12th floor and walk up to the 16th floor


(BLT#2) The strange case of the tennis matches

Harry and Gandolph are keen tennis players. One Sunday, they go to their local tennis club in Beverly Hills and play 3 tennis matches in a row. Then they leave. Afterwards, over coffee, they realised that they had both lost and won the same number of matches.

The question is:
How could they have won and lost the same number of matches
Remember, there is no such thing as a draw in a tennis match.

BLT #1:

A. Harry is height-challenged. Although why he doesn't keep a ruler in his briefcase (or stand on it) is beyond me.

B. Harry likes his exercise, since he also walks the mile to and from work.

BLT #2:

This is obviously a trick question, since Harry lives in Paris and his local tennis club is not in Beverly Hills.

BLT #2:

a. They were not opponents during all of their matches.

b. One or all of the matches they played was doubles in which they played on the same team.

BLT#1 - harry is a dwarf and couldn't reach the 16th floor button

BLT #3

Harry, being the smart guy he is, simply keeps the house in sight to his left (or right) as he walks to moor.

BLT #4

Now, you didn't tell us the dimensions of the flat spaces at the shallow or deep ends of the pool, but I will assume that they extend equal lengths into the pool and that the sloped are is precisely in the center.

Since the angle is 45 degrees, it will take two meters of pool length to reach the additional two meters of pool depth. We then are left with calculating three polygons:

The shallow region (which extends over the slope):
1mx13.5mx12m=162 cubic meters

The volume of the sloping region
1/2x2mx2mx12m=24 cubic meters

The volume of the deep end:
11.5mx3mx12m=414 cubic meters

For a total volume of 600 cubic meters which is 600,000 (6x10^5) liters.