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Mathematics 15 Online
OpenStudy (hesan):

Solve this riddle: Three men went to a hotel to share a room. The clerk asked for $300.Each man paid $100, making up the $300.The hotelkeeper then decided to allow a discount for the day, charging only $250 for the room. He told the clerk to return $50 to the three men. The clerk pocketed $20 for himself. He gave the remaining $30 back to the three men.Each man took back $10. Therefore, each man paid 100 – 10 = $90 to the hotel. $90 x 3 = $270 + the clerk’s $20 = $290. Question: Where has the remaining $10 gone?

OpenStudy (anonymous):

ah i did a riddle similar to this one before lol

OpenStudy (hesan):

solv this one

OpenStudy (anonymous):

ik it but i want to see if anyone else will get it :P

OpenStudy (anonymous):

250 for the room, 10 for the first guy, 10 for the second, 10 for the third, 20 for the clerk Exactly 300 there isn't anything missing... The problem here is the ambiguity in the language but all the money is there.

OpenStudy (anonymous):

the clerk's 20 is already in the 3guys 90 ; 250 plus 20 is 270. 3*90=270 t the room costs 270.

OpenStudy (hesan):

i m not getting it...

OpenStudy (anonymous):

yep basically lol

OpenStudy (anonymous):

they r right

OpenStudy (anonymous):

@bmp 's word ambiguity is the best way to describe it. so in other words. Therefore, each man paid 100 – 10 = $90 to the hotel. $90 x 3 = $270 + the clerk’s $20 = $290. Question: Where has the remaining $10 gone? this last section of the question is wrong.

OpenStudy (anonymous):

it's kinda a trick question :P

OpenStudy (anonymous):

The other ten is in the Clerk's pocket because it was 250 for the room plus 30 back t then men , that was 280, and the final 20 to the clerk, 300.

OpenStudy (hesan):

@HawkCrimson yeah thats my question..

OpenStudy (anonymous):

but all the money is there

OpenStudy (hesan):

what for the last section

OpenStudy (anonymous):

non of it is missing

OpenStudy (hesan):

but if we go through the calculation of question i.e 90x3 +20 =290 and finally 10 is missing...

OpenStudy (hesan):

??

OpenStudy (anonymous):

Not at all, you are being led by the obtuse wording of the problem. What happens is this: Person A gives 300$ for the hotel. The owner (person B) decides to take only 250$ and returns 50$. Person C, midway, decides to steal 20$, so he returns 30$ to person A. Person A thinks now that he paid 270$ for the room, while person B thinks (correctly) that he received 250$. So the total cost was 300, it just looks 270 from the point of view of person A. (270 + 30 = 300)

OpenStudy (anonymous):

Typo: "So the total cost was 270, it just looks 250 from the point of view of person B." The reasoning is that person B is oblivious to person C's actions.

OpenStudy (anonymous):

If you wish to try out a very difficult riddle, check this: "A group of people with assorted eye colors live on an island. They are all perfect logicians -- if a conclusion can be logically deduced, they will do it instantly. No one knows the color of their eyes. Every night at midnight, a ferry stops at the island. Any islanders who have figured out the color of their own eyes then leave the island, and the rest stay. Everyone can see everyone else at all times and keeps a count of the number of people they see with each eye color (excluding themselves), but they cannot otherwise communicate. Everyone on the island knows all the rules in this paragraph. On this island there are 100 blue-eyed people, 100 brown-eyed people, and the Guru (she happens to have green eyes). So any given blue-eyed person can see 100 people with brown eyes and 99 people with blue eyes (and one with green), but that does not tell him his own eye color; as far as he knows the totals could be 101 brown and 99 blue. Or 100 brown, 99 blue, and he could have red eyes. The Guru is allowed to speak once (let's say at noon), on one day in all their endless years on the island. Standing before the islanders, she says the following: "I can see someone who has blue eyes." Who leaves the island, and on what night? There are no mirrors or reflecting surfaces, nothing dumb. It is not a trick question, and the answer is logical. It doesn't depend on tricky wording or anyone lying or guessing, and it doesn't involve people doing something silly like creating a sign language or doing genetics. The Guru is not making eye contact with anyone in particular; she's simply saying "I count at least one blue-eyed person on this island who isn't me." And lastly, the answer is not "no one leaves." " Note: this is actually a very hard logic puzzle, so don't feel awkward if you are daunted by its difficulty.

OpenStudy (hesan):

(And lastly, the answer is not "no one leaves.) what does this means

OpenStudy (hesan):

is this means that no one leave the island

OpenStudy (anonymous):

It means that the answer is not that no one leaves. Someone will leave, it's not a trick question with a "dumb" answer like 0 or "there are mirrors".

OpenStudy (hesan):

Do u know the answer..

OpenStudy (hesan):

I can't understand the following " she says the following: "I can see someone who has blue eyes." Who leaves the island, and on what night? There are no mirrors or reflecting surfaces, nothing dumb. It is not a trick question, and the answer is logical. It doesn't depend on tricky wording or anyone lying or guessing, and it doesn't involve people doing something silly like creating a sign language or doing genetics. The Guru is not making eye contact with anyone in particular; she's simply saying "I count at least one blue-eyed person on this island who isn't me." And lastly, the answer is not "no one leaves."

OpenStudy (anonymous):

All that is saying is that the question is not tricky, it's not about ambiguity; it's pure logical. In other words, you can deduce the answer using pure reasoning and, if you wish, Mathematics. It's distinct from the money problem because the problem there was in the wording: it was obtuse and confuse. The problem here is: Who (or how many) leaves the island after hearing the Guru's words and on what night? If you wish, you can forget about those last two paragraphs, they don't add anything to the problem itself, it's just to clarify some points.

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