Estimate the value of pi using a 6 sided die.
- via Goldman Sachs interview, reposted in CSE blog

## Monthly Archives for March, 2014

## Car wheels

A car has 4 tires and 1 spare tire. Each tire can travel a maximum distance of 20000 miles before wearing off. What is the maximum distance the car can travel before you are forced to buy a new tire? You are allowed to change tires (using the spare tire) unlimited number of times.
- via Gpuzzles

## Covering

What is the largest square table that you can cover completely using 3 square napkins of side 1 unit? You cannot tear the napkins, but you can fold them or overlap them, and the napkins are allowed to drape over the side of the table.
- via Mind your decisions.

## Form a triangle

You certainly can make a triangle from 3 unit toothpicks called a, b and c (each being a side opposite angles A, B, and C respectively.
But what if you were to:
Cut a piece from b and burn it.
Cut a piece from c and burn it.
Leave a alone.
What are the probabilities that you will be able to form the following (using the entire …

**Continue reading the story**"Form a triangle"## Hat puzzle

There are 3 people each wearing either a white or a black hat. They can see everyone's hat except their own. They must design a strategy so that they can maximize the chances of success of at least one person guessing the hat color correctly and no one guessing wrong. They cannot talk to each other after the hats have been placed on their heads. …

**Continue reading the story**"Hat puzzle"## jumping coins

There are n coins placed in a row. The goal is to form n/2 pairs of them
by a sequence of moves. On the first move a single coin has to jump over
one coin adjacent to it, on the second move a single coin has to jump
over two adjacent coins, on the third move a single coin has to jump over
three adjacent coins, and so on, …

**Continue reading the story**"jumping coins"## Guess hat color

Consider the picture below:
In this picture, there are 4 prisoners buried in the ground. There is a brick wall separating A and B. C can see B and D can see both B and C. Between the 4 prisoners, 2 white and 2 black hats are worn. No one can see their own hat color. The hat color is fixed …

**Continue reading the story**"Guess hat color"