1) Bob is going on a journey. For the first half he takes a horse cart, which goes 3 times faster than he can walk. For the second half he took an oxen cart, which goes half as fast as he can walk. Would he have gone faster or slower if he had walked all the way on foot? And how much time is saved for the faster way?

2) Randy's pals ask him how many kittens he has. His answer was: "Three-quarters of their number plus three-quarters of a kitten." His pals laughed at the joke, but it wasn't a joke... and he doesn't have any chopped up kittens either. How many kittens does he have?

3) There are 12 flags at an ancient Olympic race. The runners start at the first flag of course. A certain runner has the same speed and stride all the way throughout the race. When he got to flag 8, four seconds had gone by. How many seconds did it take for him to finish the race?

4) Two bikers are 180 miles apart and going toward each other on a straight line. They are biking steadily at 15 mph. A fly (going 30 mph) is flying constantly in between them. When it reaches the next biker, it turns around and goes back to meet the next biker, etc. When the bikers meet and the fly stops flying, how many miles has the fly flown?

5) A bus leaves Manhattan to go to Queens at noon. A biker leaves Queens to go to Manhattan an hour later, and the biker is going 15 mph slower than the bus. When they meet, which is farther from Manhattan?

6) The toy costs $1 plus half its price. How much does it cost?

I hope these haven't already been posted...

]]>ik its bad but let me know what should i do to improve

https://play.google.com/store/apps/details?id=com.scopedgames.kidsmemory

thank you sm

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Here we go....

You are one of **20 prisoners** on death row with the execution date set for tomorrow.

Your king is a ruthless man who likes to toy with his people's miseries. He comes to your cell today and tells you:

“I’m gonna give you prisoners a chance to go free tomorrow. You will all stand in a row (queue) before the executioner and we will put a hat on your head, either a red or a black one. Of course you will not be able to see the color of your own hat; you will only be able to see the prisoners in front of you with their hats on; you will not be allowed to look back or communicate together in **any way** (talking, touching.....)

(The prisoner in the back will be able to see the 19 prisoners in front of him

The one in front of him will be able to see 18…)

Starting with the last person in the row, the one who can see everybody in front of him, he will be asked a simple question: **WHAT IS THE COLOR OF YOUR HAT?**

He will be only allowed to answer “**BLACK**” or “**RED**”. If he says anything else you will ALL be executed immediately.

If he guesses the right color of the hat on his head he is set free, otherwise he is put to death. And we move on to the one in front of him and ask him the same question and so on…

Well, good luck tomorrow, HA HA HA HA HA HA!”

Now since you all can communicate freely during the night, can you find a way to **guarantee** the freedom of some prisoners tomorrow? **How many**?

**Remark of Site Admin: **

Note that solution for this puzzle is already given in the following post by bonanova.

]]>See solutions for your score.

Finished files are the result of years of scientific study combined with the experience of prior years.

There are six F's in the sentence. In general:

A person of average intelligence finds three of them.

If you spotted four, you're above average.

If you got five, you're at the highest levels.

If you caught six, you are a genius.

There is no catch.

Many people forget the "OF"'s.

The human brain tends to see them as V's and not F's.

On a side note i feel this test a person ability to perceive his or hers environment and thus it measures awareness. This is, in most cases, different than intelligence. But above is how I first found the puzzle/answer. So that is how I posted it.

-Great minds discuss ideas. Average minds discuss events. Small minds discuss people.

]]>

A little help needed with this riddle:

"A fuel tanker with a capacity of 12500 liters in which the engine fuel comes directly from the tank, has to transport 50,000 liters at a distance of 2,500 km.

How many liters of fuel were stored after transportation was over?"

Thanks in advance!

]]>
The first of these four numbers is the last digit in the figure obtained when 2 is raised to the power of 667788 (2^{667788}). Similarly, I had to find the last digit in the evaluation of 3^{556677}, 7^{445566}, and 8^{334455} to complete the sum.

If today is the 12^{th} of March 2020, when was Andy born?

]]>you should know, you're driving the bus.

WHAT ARE THE ODDS ?

basically we can find on the net the odds for 6/45,6/49 and so on including the Powerball and the rest...

so, my question is this..I will try to be as clear as possible..sorry if it sounds confusing...

( i did searched on the net and one says a 'math' guy gave the probability of billions of combination...yes...billions..) but I do not think so...

so, here we go..i came across a lottery game..

you choose 1 set of 4 digits from 0000 to 9999 = odds of you hitting the 1st prize ( one prize ) is 1/10,000 ...right ?

example : you chose 1234 ...from 0000 to 9999

------------------------------------------------------------

**now this gets interesting;**

they have a game where you choose 2 sets of 4 digits,

eg. 1234 + 5678

this is called a pair...

so, you will have 1234 ( from 0000 to 9999 ) **we will call SET A** + 5678 ( from 0000 to 9999 ) **we will call SET B**

basic layman calculation WILL BE :

10,000 x 10,000 = 100 million possibility ?... yea ? not exactly...

cos we will have same pair as we go along..

so , like this...

SET A SET B ( for 0000 ) SET A SET B ( for 0001 ) and so on....

0000 + 0000 = 1 pair 0001 + 0000 <---- same as 'x'

0000 + 0001 = 1 pair <--- same as 'x' 0001 + 0001

so for SET A alone for '0000' + 9,999 of SET B , we will have 10,000 PAIRS...

and so on..

but looking at 'x' , it' the same , so it count as the SAME COMBO...

so, less than 100 millions cos you take out the SAME combo...

**1ST QUESTION**

so, what are the odds ?** **

--------------------------------------------------------------------------

**NOW.......IT'S GETS MORE INTERESTING ...**

for you to hit Jackpot 1 you need your selection of 1234 + 5678 ( your pair ) to come out in either the 1st, 2nd or 3rd prize...

example :

1st Prize - 1234 OR 1st prize - 1234

2nd prize - 5678 2nd prize - 8817

3rd prize - 8817 3rd prize - 5678 as long as your 'pair' appears in the to 3 prizes..

odds are different again, right ?

so, anyone can help ?

lol !!!!

]]>

This is an easy one... how many can get it first time?

]]>I was in practicing BIM (building information modeling) at school when our teacher told us than crazy shapes aren't an issue anymore when it comes to determinating a volume since we can rely on computers. We now just have to draw it in 3D and softwares can give us the answer we need.

I was curious about how it was done before all that. Here's an example : From above, a rectangular shape. Corners at the same higher height are merging into a point at a lowest height. See attached picture. I tried to figure the volume by hand considering a whole rectangular parallelepiped from which I substracted parts of rectangular based pyramids. Well, turns out I can't manage do find the good answer.

Can anyone? I doubt it will bother you as much as it did bother me.

Cheers2553_001.pdf

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]]>Father: 60 years old

Son : 6 years old

No proper names, abbreviations, etc ... you know the drill.

Just ordinary words you'd find in any dictionary.

Use each letter exactly once in each word.

Enjoy!

]]>The eldest princess is honest and always tells the truth. The youngest princess is dishonest and always lies. The middle princess is mischievous and tells the truth sometimes and lies the rest of the time.

As you will be forever married to one of the princesses, you want to marry the eldest (truth-teller) or the youngest (liar) because at least you know where you stand with them.

The problem is that you cannot tell which sister is which just by their appearance, and the King will only grant you ONE yes or no question which you may only address to ONE of the sisters. What yes or no question can you ask which will ensure you do not marry the middle sister?

This is not a trick question, and the answer is not anything like "is this statement a lie?" The solution is nice and elegant.

]]>Ask one princess, let's call her princess A, if princess B is older that princess C. You want to marry whichever one she indicates is younger.

If you ask the:

--Youngest: she will tell you that the eldest one is younger

--Middle: either one is good

--Eldest: she will tell you that the youngest is younger

Suppose I want to help win against myself in five or less coin spins, what is the best probability that I can make a checkmate?

]]>Color the blocks in the top row red, white, or green (or any three colors of your choosing) in any way. Use these two rules to color the remaining rows of the triangle:

- If two consecutive blocks in a row have the same color, the block between them in the row below has the same color

- If two consecutive blocks in a row have different colors, the block between them in the row below has the third color

Tell how you can always predict the color of the bottom block after seeing only the top row (and not constructing the intermediate rows) PROVE your answer. ]]>

You know the riddle: https://sites.math.washington.edu/~morrow/336_11/papers/yisong.pdf

We have the exact same scenario & assumptions but with a different question to be answered: "Are you the **last** called prisoner out of the bunch?"

In other words: "Are you the **100th** prisoner?"

Obviously, all prisoners called in the days 1-99 know they arent

]]>

**O T T F F S S ___ ?????**

Again, this is one my dad tried on me when I was about 10. He informed me that only a genius can figure it out in virtually no time. Well, I never claimed to be a genius, but I read off the letters and in perfect time I said the last letter.

Do I have to put the answer in here? I want to see how long it takes for anyone to answer it correctly.

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