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Interview Question for AdWords Associate at Google:
How many gallons of paint would it take to paint 1/3 of the houses in the US?
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Also this question has not right or wrong answers. The interviewer is checking at your way of working through a problem.
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Let's take Ristesh's numbers for example:
"Lets say there are 150,000 houses in a city and there are 500 cities in a state."
Let's ignore for now the fact that Ritesh's arithmetic is incorrect, which is a red flag in an interview. If there are 150,000 houses in an average city, and there are 500 cities in an average state, and there are 50 states in the United States, then Ritesh's numbers add up to 3,750,000,000 houses in the United States.
That's 3.75 billion homes for a nation with a population of 300 million people, or more than 10 homes for every person in the country. A reasonable candidate should see that that's absurd. That's why the question is asked, because most people are not very good at dealing with large numbers.
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by Ritesh Shetty:
Lets start with 1 wall. 1 Wall is approximately 15ft * 12ft = 180 Sq Ft
Paint volume on 1 wall is approx 180 sql ft * 2 mm= 929 sq cm * .2 cm = 185 cubic cm
1 galon = 2.7 liters = 1000 cubic cm
So you would need 92.9/1000 galons = 1.85 gallons for 1 wall
Lets say average homes are 3 bed room houses with 1 living room and 3 baqths
so number of walls is (3 *4) + (1*3) for ceiling + (bathroon is half of a room so 3 *.5)
living room is almost twice the room = 2 + 1 ceiling + 1/2 the interior space ~ exterior wall space
(1.85* 3 * 4 ) + (1.85 * 3 ) + (1.85*.5) + ((2 * 1.85 ) + 1.85)=
22.2+ 5.55+ 9.25 + 3.7 + 1.85= 42.55 for interior so 21.275 for exterior
Around 63 gallons for 1 house.
Lets say there are 150,000 houses in a city and there are 500 cities in a state.
so 500* 150,000* 500 * 63 =2362500000000
There are 50 houses so approximately 50*2362500000000=118125000000000 gallons for entire US.