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40 replies to this topic

#1 Arjit Saraswat

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Posted 28 November 2011 - 06:54 AM

A very intelligent king protected his treasure by giving the keys to the locks of the treasure to his vizier and 4 slaves in such a way that vizier could open the treasure if he was with any of the slaves , and the slaves could open the treasure if 3 of them worked together.
How many locks do the treasure have?
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#2 Arjit Saraswat

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Posted 28 November 2011 - 07:07 AM

i myself have found the answer..... but i would like someone giving a general solution
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#3 Silas Nunnery

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Posted 28 November 2011 - 08:00 AM

This is my solution...
Spoiler for The impossible riddle!!!

Edited by Silas Nunnery, 28 November 2011 - 08:04 AM.

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#4 mickjc75

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Posted 28 November 2011 - 10:48 AM

Spoiler for solution

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#5 mickjc75

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Posted 28 November 2011 - 10:55 AM

i myself have found the answer..... but i would like someone giving a general solution

Hmm well I'm not sure how general this is, but this is how I found it.. (maybe the same way as you?)
Spoiler for method

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#6 mickjc75

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Posted 28 November 2011 - 10:56 AM

Hmm well I'm not sure how general this is, but this is how I found it.. (maybe the same way as you?)

Spoiler for method

Spoiler for correction

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#7 Anand Rahul

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Posted 28 November 2011 - 02:13 PM

4 locks.. the vazir has 3 keys.. the forth key is common to all the slaves.. the 3 keys which are with vazir has its copy distributed among the 4 slaves.. so 3 slaves can open it and vazir can open it with any of the slave.. :)
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#8 thoughtfulfellow

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Posted 28 November 2011 - 03:29 PM

Spoiler for solution

You have the right idea but one flaw.
Spoiler for error is

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#9 thoughtfulfellow

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Posted 28 November 2011 - 03:43 PM

4 locks.. the vazir has 3 keys.. the forth key is common to all the slaves.. the 3 keys which are with vazir has its copy distributed among the 4 slaves.. so 3 slaves can open it and vazir can open it with any of the slave.. :)

From my interpretation of your problem, at least three slaves should be required to open the treasure. How are you going to distribute 3 keys among four slaves so any three will have a full set but no two will have a full set? If your answer is to give slaves 1, 2 and 3 a key each and not give any keys to slave 4, then you have changed the problem since slaves 4 with any other 2 could not open the treasure.
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#10 Arjit Saraswat

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Posted 28 November 2011 - 04:04 PM

From my interpretation of your problem, at least three slaves should be required to open the treasure. How are you going to distribute 3 keys among four slaves so any three will have a full set but no two will have a full set? If your answer is to give slaves 1, 2 and 3 a key each and not give any keys to slave 4, then you have changed the problem since slaves 4 with any other 2 could not open the treasure.

you are completely right..... in fact you stole my words....
i'ld like to hear the answer from you......
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