Question

200 people standing in a circle in an order 1 to 200. No. 1 has a sword. He kills the next person (i.e. No. 2) and gives the sword to the next (i.e. No. 3). All people do the same until only 1 survives. Which number survives at the last?
There are 200 people starting from 1 to 200.

Answer 1

Answer:

number 1

Step-by-step explanation:

Hope that helps... :)

Answer 2

Answer:

145

Step-by-step explanation:

Consider the case when there are 2^n numbers in the circle.

Each time the number reduces by half and the number 1 remains till the end.

In the given question, 1 kills 2, 3 kills 4 and so on till 143 kills 144.

72 people have been killed till now.

128 people remain in the circle.

128 is a power of 2.

So the first guy after 144 will be the new number 1 in a circle of 2^7.

So 145 will survive.