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   Author  Topic: Unexpected visit  (Read 2706 times)
Altamira_64
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Unexpected visit  
« on: May 17th, 2013, 5:31am »
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John is visiting NYC for the first time. His old friend Denise lives in a block of flats in Harlem. He does not remember the exact number of the flat, all he remembers is that the number is from 1 to 50. By arriving there, he finds out that flats 1-20 are on the 1st floor, while flats 21-50 are on the 2nd. He then decides to ask a neighbour, who replies him indirectly, by specifying the floor to which the appartment is, whether the appartment number is odd or even and whether it is a perfect square or not. Then John, in order to corfirm the number, asks the neighbour whether the appartment number contains the digit 4. After his reply, he rings the bell of the appartment he had deduced that was Denise's but, to his surprise, someone else was living there! His name was David, who explained to John that the neighbour who gave him all this information was a very well-known liar! Then John left David's appartment saying, thank you, now I know Denise's number!!  
What is Denise's number and what David's?
« Last Edit: May 17th, 2013, 5:32am by Altamira_64 » IP Logged
gotit
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Re: Unexpected visit  
« Reply #1 on: May 18th, 2013, 12:05am »
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The liar told John that
1) Apartment was in 2nd floor (21-50)
2) It is a perfect square (25, 36, 49)
3) It is odd (25, 49)
4) It does not have 4  (25)
 
Taking reverse of all the above statements
1) Apartment was in 1st floor (1 -20)
2) It is not a perfect square (2, 3, 5, 6,  7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20)
3) It is even (2, 6, 8, 10, 12, 14, 18, 20)
4) It has 4 (14)
 
So, 25 and 14
« Last Edit: May 18th, 2013, 12:07am by gotit » IP Logged

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Annettagiles
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Re: Unexpected visit  
« Reply #2 on: Oct 15th, 2014, 4:45am »
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may be 19 and 25 is it right?
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