Question

There are 100 lockers in a room each of these lockers can be either opened or closed. Initially all lockers are closed. Man 1 goes and changes the state of all lockers that are multiples of 1. Man 2 goes and changes the state of all lockers that are multiples of 2. Man 3 goes and changes the state of all lockers that are multiples of 3 and so on till man 100 goes and changes the state of all lockers that are muliples of 100. In the end how many lockers are opened.
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Answer 1

Answer:

1 The key is realizing that the number of times a locker is touched is the same as the number of factors in the locker number. For example, in locker #6, Person 1 will open it, Person 2 will close it, Person 3 will open it, and Person 6 will close it.

Step-by-step explanation:

Answer 2

Answer:

Yes. Even those who are scornful of democracy and who would fancy their chances if allowed to grab what they could would loseYes. Even those who are scornful of democracy and who would fancy their chances if allowed to grab what they could would lose