The motive behind posting these Groupon Interview Puzzles is to help you shape your skills and making you much more confident while appearing in the interviews.

Difficulty Popularity

The puzzle question is : On Bagshot Island, there is an airport. The airport is the home-base of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.

What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?

Notes:

(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.

(b) Each airplane must have enough fuel to return to airport.

(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)

(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)

What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?

Notes:

(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.

(b) Each airplane must have enough fuel to return to airport.

(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)

(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)

Difficulty Popularity

Difficulty Popularity

Three people enter a room and have a green or blue hat placed on their head. They cannot see their own hat, but can see the other hats.

The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.

They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.

They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.

If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.

What is the best strategy?

The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.

They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.

They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.

If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.

What is the best strategy?

Difficulty Popularity

You are standing on the verge of making a fortune. You have fifty precious stones and fifty non-precious stones. You are provided with two bags labelled as Heads and Tails respectively. What you have to do is distribute the stones in these two bags. After that a coin will be flipped and what comes (heads or tails) will decide you will pick up a stone randomly from which bag.

How will you be distributing the stones so that you maximize the probability of picking up a precious stone? If you pick it, all precious stones will be yours.

How will you be distributing the stones so that you maximize the probability of picking up a precious stone? If you pick it, all precious stones will be yours.

Difficulty Popularity

Four people reside in the only four different homes in a small town. These houses are built with red marbles, green marbles, white marbles and blue marbles.

Mr. Reed Richards live somewhere left of the the house with green marbles and the third one along is a white marbles one.

Ms. Sue Storm resides in a red marbles house.

Mr. Johnny Storm does not live at either of the ends and resides somewhere to the right of the blue marble house.

Mr. Ben Grimm lives in the fourth house.

If the first house is not made of red marbles, who lives where and with material is their house made from?

Mr. Reed Richards live somewhere left of the the house with green marbles and the third one along is a white marbles one.

Ms. Sue Storm resides in a red marbles house.

Mr. Johnny Storm does not live at either of the ends and resides somewhere to the right of the blue marble house.

Mr. Ben Grimm lives in the fourth house.

If the first house is not made of red marbles, who lives where and with material is their house made from?

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