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shubhamsrg
Group Title
In a jail with 100 rooms, all locked initially, 100 rioters
break in and disturb the rooms in the following way. First
one stops at all rooms and opens them all. Second rioters
stops at rooms numbered 2, 4, 6, . . . and locks open rooms,
and leaving the other rooms as they were. The third rioter stops at rooms numbered 3, 6, 9, . . . and again opens a
locked room and locks an open room, leaving others undisturbed. And this process continues. After all the 100 rioters
have left which rooms would be open?
 2 years ago
 2 years ago
shubhamsrg Group Title
In a jail with 100 rooms, all locked initially, 100 rioters break in and disturb the rooms in the following way. First one stops at all rooms and opens them all. Second rioters stops at rooms numbered 2, 4, 6, . . . and locks open rooms, and leaving the other rooms as they were. The third rioter stops at rooms numbered 3, 6, 9, . . . and again opens a locked room and locks an open room, leaving others undisturbed. And this process continues. After all the 100 rioters have left which rooms would be open?
 2 years ago
 2 years ago

This Question is Closed

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
i dont know! :P any good reasons ?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
the ones that will be open are the squares (i.e. 4, 9, 16, 25, etc)
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
the ones that will be closed are the not squares
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
@lgbasallote I think room 1 will be surely opened..
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
yes it will
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
1 is a perfect square isnt it
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
1 opens 4 2 closes 4 4 opens 4
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
for 9 1 opens 9 3 closes 9 9 opens 9
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
for 16 1 opens 16 2 closes 16 4 opens 16 8 closes 16 16 opens 16
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
for 25 1 opens 25 5 closes 25 25 opens 25
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
for 36 1 opens 36 3 closes 36 6 opens 36 12 closes 36 36 opens 36
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
for 49 1 opens 49 7 closes 49 49 opens 49
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
I guess the number which has odd number of factors will be open
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
in 36 you missed some in between but result remains open,,hmm i see maybe you're correct..
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
And the room number which has even number of factors will be closed
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
for 64 1 opens 64 2 closes 64 4 opens 64 8 closes 64 16 opens 64 32 closes 64 64 opens 64
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
what comesafter 64 again?
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
81 1o 3c 9o 27c 81o
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
yes that
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
finally 100 1o 2c 4o 5c 10o 20c 25o 50c 100o nice.. thanks..
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
welcome
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
can there be some reason why its always sq. no ? or its just a pattern ? ! ?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
it's a tedious proof... lol
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
i just know the trial and error proof of it
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
I guess only sq. no have odd number of factors
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
aha..yes it seems so..lol..might make up another good ques that only sq no. have odd no. of factors! :D
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
damn i closed the quess,,wait i shall tag,,
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
@mukushla @eliassaab
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
Oh..... got it....... I think I can prove it
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
IF its not an sq. number.... for example 12 then the factors are 1,2,3,4,6,12
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
right?
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
dw:1345558048314:dwNow,
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
Now, lets look a sq. number ... for example 25 its factors are 1,5,5,25dw:1345558167578:dw
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
hmm..so every no. will have even no. of factors if we count same no. twice..really ? that quite amazing!
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
If it is not a sq. number than there will always be a unique number for its factor.... so that their product will be that number
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
TO make it more clear......dw:1345558421778:dw
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
and sum of even numbers is always a even number
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
cool..i get it! nice.. :)
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
now lets return to my ques,,why only sq. nos should be there?
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
To...... write and make other understand is a very difficult......
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
without speaking
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
Am i right?
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
lol..you did a pretty good job sir.,thanks..
 2 years ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.2
I mean it is easy for u guys........... but for others its really hard
 2 years ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
am not very good at the subject sir,,so explaining to me always takes some effort! see,,am a bad student! hmm.. nevermind,,back to the ques please! why only sq. nos should be there?
 2 years ago
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