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I was asked the following puzzle for an interview.

There is a square sheet. A smaller square hole is made on it (at a random place). How can I divide the rest of the sheet into two halves (in terms of the total area)?

How to solve this?

1 Answers 1

12

Draw a line joining the centers of the two squares and cut along that line.

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    And for n dimensions, t$a$ke n objects each with a point such that any n-1 dimensional hyperplane divides it into two n-dimensional parts of e$q$ual n-dimensional volume. Then the n-1 dimensional hyperplane through these n centers divide each object and threfore the "holed" object into two parts of equal volume.2012-03-05