a lollipop........

there are 1000 men standing in a circle numbere 1 to 1000 on their back. the person with number 1 is given a sword. he kills 2 and gives sword to 3. 3 kills 4 and passes the sword to 5. the process continues so on.................... wat is the number of the last remaining person.

THE PROCESS CONTINUES TILL ONLY 1 PERSON IS LEFT

49 Answers

39
Dr.House ·

MY GOODNESS, SIR TOH NAAM KYA YAAD HAIN.

1
°ღ•๓яυΠ·

is it 977 ?

1
°ღ•๓яυΠ·

or is it 945 ?

(i wasted 1 hr 4 this )

39
Dr.House ·

i am really sorry integrations that this made u waste so much time. sorry

341
Hari Shankar ·

Josephus Flavius

1
Aditya ·

[7][7][7]

341
Hari Shankar ·

just google/wiki this name. see what you get

341
Hari Shankar ·

integrations had it right: 977

1
Aditya ·

Sir, could u pls explain the method?

341
Hari Shankar ·

Maybe you are getting misled by mathematician's title. Its not a lollipop problem as he is letting you think.

Its a problem in recursion I had read about in a book called Concrete Mathematics [Graham, Knuth and Patashnik]. Obtaining the recursion is itself a painful process. Solving it is a task for a computer. This answer I picked up from Sloane's series for this problem.

So, dont bother much about it right now. When you are done with JEE and stuff, relax and read it about it.

1
Aditya ·

ok...thanks sir..

13
Двҥїяuρ now in medical c ·

http://www.geocities.com/hjsmithh/JosephusCS21a.exe

Download this program

then it is Lollipop

btw...ans is 977...and it is checked

13
Двҥїяuρ now in medical c ·

1
°ღ•๓яυΠ·

kk chmka soochne do aab

39
Dr.House ·

and ya he was right, naam was kept to deceive u people.

11
Mani Pal Singh ·

accha ques hai
let me think[12]

11
Anirudh Narayanan ·

i think 1......after every round of killing, 1 will always get the sword.....there will b no person before him to receive the sword and kill him........so after all the savagings are over......1 will be left......holding his breath, wishing that he had died rather than stand amidst the stinking dead bodies [3]

11
Anirudh Narayanan ·

what bhargav? Correct answer?

1
skygirl ·

no ani... 1 will be killed afetr the fourth round i think....

the pattern will be like...

at first difference of 2.

then diff of 4..

then diff of 8..

11
Anirudh Narayanan ·

who'll kill him???? Me or you??

I think he'll die of the stink anyway......[3]

1
°ღ•๓яυΠ·

yipeeeeeeeeeeeeeee ek ghanta was nt a waste

cheero~ :D

1
pankaj sachan ·

Ans should be 49

11
Mani Pal Singh ·

pankaj answer is 976
see post 38

1
°ღ•๓яυΠ·

na answer is 977

1
MATRIX ·

hmmmmmmmm..........[17][17][17]..............[1][1][1]........

39
Dr.House ·

ek ek aadmi ek ek answer de rahe hain. i told na!!!!!!!!!!!!!!!!!

39
Dr.House ·

come on dude, i am telling u, to this also there will be 100 diff answers by us!!!!!!!!!!!!!!

11
virang1 Jhaveri ·

500
IF the killing goes on for only 1 round
For every round the no. decreases by 50%

39
Dr.House ·

500 WILL BE KILLED BY 499

1
Akand ·

ok in d first round......all even numbers will die... in the next round 3,7,11 etc. will die...........then i must think

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