# interview questions – part 1

Posted on: October 26, 2008

I come across loads of interesting questions which have been asked in interviews. Just thought of posting them here in my blog…

Question 1:

There is a long table with 100 cups arranged in a line. The cups are numbered from one to hundred. Initially all cups are closed with lids.

This is what you do:

First, you open all cups that are multiples of 1. ( Obviously all hundred cups )

Next, you invert all the cups that are multiples of 2. Inverting a cup refers to opening a cup if it is closed, or, closing a cup if it is open.

Next, you invert all cups that are multiples of 3.

This process is continued for 4, 5. 6, …. 100.

After this is done, how many cups will be open, and what are their numbers ??

Question 2:

There is a standard chess board. ( 8 x 8 ). A horse is placed on a corner square, say, black

The task that is being done is the obvious, move to all squares in the chess board, without landing on a square more than once.

The question is different:

Is it possible to reach the corner that is diagonally opposite to the starting square after moving to all other squares ? If yes, how ? If no, why ?

Solutions