A probability problem by Shobhit Singh

Probability Level 3

100 men are standing in a circle.
The first person shoots the second person and passes the gun on to the next person.
The third person shoots the fourth person and passes the gun on to the next person.

Which man will be the last to remain?


The answer is 73.

Shobhit Singh by Shobhit Singh , 20, India

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2 solutions

Parveen Soni
Nov 22, 2014

people survived in this shooting process is as follow:-
1 5 7 ..........99 (diff.2)
1 7 11 .........97 (diff. 4)
9 25 .......89 (diff. 16)
9 41 73 (diff. 32)
9 73 (diff. 64)
73 is last man to survive.


2 Helpful 0 Interesting 0 Brilliant 0 Confused
Ossama Ismail
Sep 13, 2017

Find the binary representation of 10 0 10 = 110010 0 2 100_{10} = 1100100_2

then find the 1's complement of 10 0 10 = 001101 1 2 = 2 7 10 100_{10} = 0011011_2 = 27_{10}

subtract the original number from its 1 ′ s 1's complemet you will get the answer which is = 100 − 27 = 73 = 100 -27 = 73

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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