The worlds first riddle!

What are you guys doing? Small typefonts and terrible colours. It only adds to the difficulty to keep track of what is posted in this tread. It bad enough that you need to read pages back to find
the questions people have been giving answers on.

Please keep it readable...

Whim

Exactly right. Markr introduced me to the concept that maybe riddle want to be solved by more than one person. So the first poster camouflages their response by making it difficult to read then additional posters may not be influenced by the first posters right or wrong responses.

If you want to lift the camouflage, just cut and copy to remove small font and bad color, or use quote poster to termporarily override the html.

Rap

I know how to read it. But I like to quickly read what is been posted, since there is mostly a lot when I come online, this is not possible anymore.

What is next, venegere encryption?

I hope at least Tryagain, will post his answers, in normal text, so I can skip the camouflage posts.


Whim

Dots:
As the width and height of the puzzle each increase by a single dot, the number of lines required to solve the puzzle increases by two. A three-dot-by-three-dot puzzle requires four lines. A four-dot-by-four-dot puzzle requires six lines, a five-dot-by-five-dot puzzle requires eight lines, and an n-dot-by-n-dot puzzle requires 2(n - 1) dots.


Whim wrote, "I hope at least Tryagain, will post his answers, in normal text"

Rest assured Whim, normal text is the order of the day for the answers. Although history has shown it is usually more reliable to take them from the guys.

Except when I underread the problem---ooops there goes another 'inclined' forehead moment.

Rap

Whim:
The unreadable text allows others to enjoy the problems without accidentally seeing proposed answers. All we're hiding is our answers to the questions - nothing of any significance. Try continues to post the solutions as usual. In some sense, this may make it easier for you to browse the topic since they take up less space (smaller font) and you can skip over them knowing they're just somebody's proposed answers.

What about non-square grids?


zipote: Have you tried solving the less constrained problem: no restrictions on crossing lines?

The pain continues Part III
Answers: (As agreed with Whim). Format that is, not content. :wink:

In many cases the answers from Mark and Rap are more Logical/Amusing.

1. When a man faints, what number will restore him?
.....you must bring him 2

2. Which number is greater - six dozen dozen or half a dozen dozen?
.....six dozen dozen (864) as half a dozen dozen is 72

3. When do 2 and 2 make more than 4?
.....when they make 22

4. If 2 is company and 3 is a crowd, what are 4 and 5?
.....nine

5. Why is 2 times 10 the same as 2 times 11?
.....because 2 times 10 is twenty and 2 times 11 is twenty-two (twenty, too)

6. How many times may 20 be subtracted from 100?
.....only once; any further subtraction would be from a smaller number each time.

7. If I dig a hole 2 feet square and 2 feet deep, how much dirt is in the hole?
.....none

8. Make five less by adding to it.
.....add the Roman numeral I (one) to V (five) and you get IV (four)

9. Behead forty and leave fifty.
.....Roman numerals again! Take X (10) from XL (forty) and you get L (fifty)

10. What is the difference between 100 and 1000?
.....zero (100 has 2 zero's, 1000 has 3 zero's, a difference of 1 zero or 'zero')

Rap:
"ooops there goes another 'inclined' forehead moment."

It is good to see you are not ?'inclined' to use the ?'S' word.


Mark:

Re- Dots: "What about non-square grids?"

What a good point. I can make a start/finish in 6 moves on a 4x4 grid .
7 moves on 5x4 but different finish. ALL require lines to be crossed.

"zipote: Have you tried solving the less constrained problem: no restrictions on crossing lines?"


The other day upon the stair,
I met a man who wasn't there.

He wasn't there again today,
I wish, I wish he'd return today.

Zippy, where are you?


Caps.

This is what I have, but something appears to be missing.
The students took a quarter of what was left in the room, rather than a quarter of the original total. 0 in 1st group; 12 in 2nd; 28 in 3rd; and 37 in 4th (so Mitch found 81caps). Perhaps "pick up 64 caps" instead of "pick up ¼ of the caps."


Rap:


1) nine
2) six dozen dozen
3) when its 22
4) 9
5) they're both doubled
6) once
7) none
8) add a negative number
9) XV->X|V->V
10) 900
11) hats
Renee took 64 hats
Brad Took 48 [1/4(256-64)] 16 Didn't get hats
Carol Took 36 [1/4(256-64-48)] 28 Didn't get hats
Mitch Took 27 [1/4(256-64-48-36)] 37 didn't get hats
The mistake--each of the four should have been told to get 64 hata.
12) x+6-4+3=7 so x=2 and you got on the elevator on the 2nd floor

Mark:
2. six dozen dozen
3. 22 (concatenate them)
4. 9
6. once (then you're at 80)
7. none
8. 5 + -1 = 4
9. XL -> L
10. -900

SUM TO 5
15

CAPS
Each assumed they were first to arrive and only took 1/4 of the remaining caps.
The first group all got hats.
16 from the second group did not.
28 from the third group did not.
37 from the fourth group did not.
There were 81 caps left over.

ELEVATOR
The net movement was up 5 floors, so the elevator was entered at the second floor.





To write the counting numbers from 10 to 12 inclusive, we would write 10, 11, 12, and observe that a total of 6 digits are written. We then actually write the counting numbers from 1 to 150 inclusive. What is the total number of digits that must be written


How many even numbers between 1 and 101 are multiples of 3


(1,1,9) is a triple of natural numbers whose sum is 11. We consider (1, 1,9), (1,9, 1) and (9, 1, 1) to be the same triple because each triple has the same three numbers. How many other triples of natural numbers have a sum of 11


There is an even number between 200 and 300 that is divisible by 5 and also by 9. What is that number


A group of 30 bikers went on a trip. Some rode bicycles and the others rode "tandems". (A tandem is a bicycle that is ridden by 2 people at the same time.) If the total number of bicycles and tandems was 23, how many tandems were used


Top 10 unanswered Chinese riddles:

1. How long will an 8 day clock run without winding

2. From what number can you take half and leave nothing

3. Why should the number 288 never be spoken in refined company

4. If a man gives one son fifteen cents and another ten cents, what time would it be

5. A farmer combined 2 compost heaps with 3 others. How many compost heaps does he have

6. Take ten from nine and leave only yourself

7. What would you add to nine to make six

8. Why is the number 9 like a peacock

9. Take 2 letters from a 5 letter word and have one left

10. What is the longest sentence in the world

Tryagain - thank you for your kind comments!

Jest a sec
Digits---342
Multiples of 3--33
Triples--42
Divisible #--270
Bicycles---7 tendems
1--8 days
2---0
3---it's two gross
4
5---one
6
7
8
9---loner->one
10

Rap

1 TO 150
9*1 + 90*2 + 51*3 = 342

1 TO 101
16

SUM IS 11
10

200 TO 300
270

TANDEMS
7

1. clocks can't run - they don't have legs
2. 1/2
3. it's two (too) gross
4. quarter to two
5. one
6. take X from IX leaving I
7. S
8. neither can lay an egg
9. stone - st = one
10. as a statement, it is false; as a question, a life sentence

zipote:

I've been unable to connect the dots with six lines period - no constraints about crossing or completing a circuit.

Try:

Where did you get your data for the number of lines required for the various sizes of squares?

I posted the 7 line solution. I think 6 is not possible.

1. 0 days
2. 10 (take away first half which is 1 leave 0)
3. Because it is TOO gross (2 gross)
4. adds up to a quarter to two
5. 1 big heap
6. Take X from IX leaves I (I am I)
7. the letter S ( S + IX)
8. ?
9. phone - PH = ONE
10.?

zipote: Does the grid have to be on a plane, or can it be on a cylinder, sphere, torus, etc?

Top 10 answered Chinese riddles:

1. How long will an 8 day clock run without winding?
.....not long at all if it needs winding

2. From what number can you take half and leave nothing?
.....the number 8

3. Why should the number 288 never be spoken in refined company?
.....Because it is two gross

4. If a man gives one son fifteen cents and another ten cents, what time would it be?
.....A quarter to two

5. A farmer combined 2 compost heaps with 3 others. How many compost heaps does he have?
.....One

6. Take ten from nine and leave only yourself.
.....From the Roman number IX, take away the X and I is left

7. What would you add to nine to make six?
.....The letter "S" would be added to IX and then you would have SIX

8. Why is the number 9 like a peacock?
.....Because it is nothing without its tail

9. Take 2 letters from a 5 letter word and have one left.
.....Take off the letters "st" from "stone" and "one" is left

10. What is the longest sentence in the world?
....."Go to prison for life."


As usual the quality of replies did not fail to impress.



Rap:

Jest a sec (That should have been the answer to 1)
Digits---342
Multiples of 3--33
Triples--42
Divisible #--270
Bicycles---7 tendems
1--8 days
2---0
3---it's two gross
4
5---one
6
7
8
9---loner->one
10


Mark:
1 TO 150
9*1 + 90*2 + 51*3 = 342

1 TO 101
16

SUM IS 11
10 (What would you say if I suggested 9?)


200 TO 300
270

TANDEMS
7


1. clocks can't run - they don't have legs
2. 1/2
3. it's two (too) gross
4. quarter to two
5. one
6. take X from IX leaving I
7. S
8. neither can lay an egg
9. stone - st = one
10. as a statement, it is false; as a question, a life sentence

Mark wrote, "Where did you get your data for the number of lines required for the various sizes of squares?"

Good question, give me some time.

Whim:

1. 0 days
2. 10 (take away first half which is 1 leave 0)
3. Because it is TOO gross (2 gross)
4. adds up to a quarter to two
5. 1 big heap
6. Take X from IX leaves I (I am I)
7. the letter S ( S + IX)
8. ?
9. phone - PH = ONE
10.?

Whim also wrote, "I posted the 7 line solution. I think 6 is not possible"

Sorry, somehow I missed that first time round. Although I went another way, you are right. The question as stated cannot be done.

I wrote:
"he other day upon the stair,
I met a man who wasn't there.

He wasn't there again today,
I wish, I wish he'd return today."

Francis replied, "thank you for your kind comments!"

You are as always, most welcome.



Canadian Higher Math Paper Part I


1. What letter is nine inches long

4. Why is the letter A like noon

5. Why is the letter E like London

6. What ends with E and begins with P and has a thousand letters

7. How do we know that S is a scary letter

8. What starts with T, ends with T, and is full of T

9. Tommy Tucker took two strings and tied two turtles to two tall trees. How many T's in that

10. From a word of 5 letters, take 2 letters and have 1

11. What letter is most useful to a deaf woman





A school has 90 children. During the day, each child attends 4 classes. Each class has 15 children and 1 teacher. During the day, each teacher teaches 3 classes. What is the smallest number of teachers the school can have


A box contains over 100 marbles. The marbles can be divided into equal shares among 6, 7, or 8 children with 1 marble left over each time. What is the least number of marbles that the box can contain


A prime number is a natural number greater than 1 that has no divisors other than 1 and the number itself. The first five prime numbers are: 2,3,5,7, and 11. How many different pairs of prime numbers have a sum of 36 if the order of the numbers in a pair does not matter

School
[size=7]90students, 4 classes =4*90=360 student classes
15 students, 1 teacher per class, teacher has three classes
360 student classes/15 students=24 classes
3 classes/teacher
24 classes/3 classes/teacher=8 teachers
8 Teachers at the school [/size]

Marbles.
[size=7]n>100
(n)mod6=1
(n)mod7=1
(n)mod8=1
(n-1)mod6=0
(n-1)mod7=0
(n-1)mod8=0
8=2^3
6=2*3
7=7
n-1=m*2*3*7=m*42 where m is some integer
42mod6=0
42mod7=0
42mod8=2
but
(m*42)mod8=0 & (m*2)mod8=0
so m is multiple of 4 (try 4 as minimum #)
n-1=4*42=168
&
n=168+1=169
169mod6=1 check
169mod7=1 check
169mod8=1 check
So there are 169 marbles
Note this is the minimum number for which this is true
Solutions are j*42+1 where j is an integer >=1 [/size]

Goldblat's primes for 36
[size=7]primes less than 36?-2,3,5,7,11,13,17,19,23,29,31
31+5=36 check
29+7=36 check
23+13=36 check
10+17=36 check
then you start repeating
so there are 4 Goldblat primes for 36 [/size]

Rap c∫;?/

Tommy Tucker took two strings and tied two turtles to two tall trees. How many T's in that
[size=7]Tommy=1
Tucker=1
Took=1
Two=1
Strings=2
And=0
Tied=1
Two=1
Turtles=2
To=1
Tall=1
Trees=1
How=0
Many=0
T's=1
In=0
That=2
1+1+1+1+2+0+1+1+2+1+1+1+0+0+1+0+2=4+2+2+2+4+2=8+8=16
16 T's[/size]

Rap c∫;?/

[size=7]2. both are palindromes
5. they're both capitals in England
6. post office
8. teapot
9. 13 if case doesn't matter, otherwise 2
10. prone (are we going to see this one until we exhaust all of the possibilities? :wink: )

SCHOOL
8 (90*4)/(15*3)

MARBLES
169 LCM(6, 7, 8) + 1

PRIMES
4

"SUM IS 11
10 (What would you say if I suggested 9?)"
I'd say you're correct, and I should read the questions more carefully. I overlooked omitting your example.[/size]

Revised Tommy Tucker
[size=7]2 t's in that[/size]
Rap