# The Impossible

Discussion in 'Off Topic' started by Fraz, Jun 14, 2009.

1. ### aaFrazBlu Hatte, Greyscale Backdrop.

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I got told a riddle type thing. It's impossible. I wanna see if the bright minds at TF2M can help me figure this one out.

3 People go into a second hand car dealership.
They buy a car, that costs £300, therefor each one of them handing ovre £100.
The salesman goes into the office to get the paperwork, when the manager says "We have reduced that car down to £250."
The salesman puts £20 in his pocket, without the manager knowing.
He then gives each of the people £10 pounds back, which makes up the rest.

Each person has now paid £90 each.
3 x £90 = £270

The salesman has £20, add that on is £290.

Where is the last £10 note?

2. ### DustoxxL6: Sharp Member

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Wtf, that's deep man

3. ### aaThe Political Gamer

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4. ### aaNovaSiliskoL42: Life, the Universe and Everything

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...
Wat.

5. ### MidelL1: Registered

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They didn't pay 90 each.
They each payed 250/3+10 or 93 and 1/3 units.

The last 10 note was part of the 20 that the sales man put in his pocket.

6. ### aazpqreiTheme Changer Extraordinaire

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Hmm....

If you divide £250 by 3 you get each person paying £83.33333333333 recurring pounds. So the £10 is actually payed for by the 3 people, who are each paying £6.666666666666666666666666666666666666666666 recurring more than they should.

I think. :s

Ninja edit:

Or this :s

7. ### aaFrazBlu Hatte, Greyscale Backdrop.

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Nope. He physically gives them each a £10 note back. Therefor they have paid £90 each. £100 - £10 (the £10 they got back each) = £90

8. ### aaFrazBlu Hatte, Greyscale Backdrop.

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Text Diagram Time!

100, 100, 100 -> Saleseman
100, 100, 100 -> Manager
50 -> Salesman
10, 10, 10 -> People (leaving the salesman with 20)

This math leaves us with £250? Yes. It's the multiplication that does something somewhere. Even though they did technically pay £90 each. If they each got £10 back.

Last edited: Jun 14, 2009
9. ### MrAlBoboL13: Stunning Member

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each man has paid roughly 83.34 (have to factor in a third of \$20 for each of them)
83.34 x 3 (when taking the third as exact) will equal exactly \$250 dollars. This also has the \$20 the other man stole taken into account, so the total money floating around is \$270. Then the 3 men get their \$30 back and the total is \$300.

When you do 90 x 3 +20 you are not including that the 20 is not tacked on after, it needs to be included in the total cost calculation.

10. ### aaFrazBlu Hatte, Greyscale Backdrop.

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They don't pay pennies though. They are physically given £10 back from their £100. They Each pay 100 - 10. Then take away the 20 the salesman took, it does give 250, it is in the multiplication of the (100-10)*3 that screws everything up. Work with solid numbers, not pence, or .3333 or whatever.

11. ### aaVoidLocal Man Unable To Map, Sources Say

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I'm sure Potato knows. Once he gets in here it's game over, man! Game over!

12. ### SpikeL10: Glamorous Member

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In a town, the barber shaves the men who don't shave themselves, and only the ones who don't. Prove the barber is a woman.

13. ### aaFrazBlu Hatte, Greyscale Backdrop.

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What town? I can check for ya

14. ### OwlrulerL12: Fabulous Member

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The problem lies with the final sum you came up with:

£270 + £20 = £290

At the end of the changes, the distribution is the following:

- Salesman : £270, of which:
Price of car: £250
Stolen: £20

-Men: £10

Nothing is lost.
The £20 in the sum £270 + £20 = £290 are already part of the the £270.

£270 (of which £20 [stolen] and £250 [car]) + £30 [Men paid back] = £300 [total]

or alternatively:

£300 [total] - £30 [Men paid back] - £20 [Stolen] = £250 [price of car].

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Last edited: Jun 14, 2009
15. ### OwlrulerL12: Fabulous Member

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Spike, the barber must be a woman because they must shave themselves and since they shave all the men who don't, so therfore they aren't a man.

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16. ### aajpr

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There is no last £10 note.
The 3 people together have paid £270, and they have £30 left. The salesman has £20.
270 + 30 + 20 = 300

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17. ### aajpr

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And the barber thing: The barber only shaves men who don't shave themselves, and all of them. If the barber was a man, he couldn't shave himself because then he would shave a man who DOES shave himself, and he also couldn't not shave, because he has to shave all the men who don't shave, therefore the barber can't be a man because that would lead to a paradox.

18. ### aaRanddalf

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A hunter is hunting bears. He walks 1 mile south of his tent and finds a bear, but chickens out and runs 1 mile west. He then walks 1 mile North, back to his tent.

What colour is the bear?

19. ### aajpr

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The bear is a polar bear, so it's white. You see, his tent is at the north pole. If it wasn't, he couldn't reach it by walking north, after walking 1 mile west.
That was easy

20. ### kwagnerL2: Junior Member

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The £20 the dealer pockets is the difference between what they paid (£270) and what they SHOULD have paid (£250.)

It is a misleading statement to say it is the difference between £270 and the original £300.