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FERMI QUESTIONS
"If you remove three strands of hair from your head, how many strands remain?"
I can hear Moe shouting Minus two minus two, for doesn't he always remind us of his "ek bal" status?
Sorry . this is no question for Moe, but something that I read in the newspaper and made me curious enough to read a bit on Fermi questions, which are being asked at interview sessions nowadays to chose the best candidates from the Good ones!
How many hours will Santa Claus take to travel from North Pole if he plans to visit the Taj Mahal, this year, for Christmas?
How many golf balls will fill in a suitcase?
How many credit cards are there in the world?
How many jelly beans fill a one-liter jar?
How high would the stack reach if you piled on trillion dollar bills in a single stack?
If your life earnings were doled out to you at a certain rate per hour for every hour of your life, how much is your time worth?
How many tennis balls are required to occupy the entire Wankhede stadium in Mumbai?
Confused? Do you think that the above questions are weird or unanswerable? Then read up something on Fermi questions.
Fermi questions receive the name from Enrico Fermi (1901 -1954) the Italian Physicist, known for his contributions to Nuclear Physics and Quantum theory. It seeks a fast, rough estimate of quantity which is either difficult or impossible to measure directly. Fermi questions need not necessarily have a single solution, but are variable and the answer lies within certain limits.
As per Philip Morrison it is “… the estimation of rough but quantitative answers to unexpected questions about many aspects of the natural world. The method was the common and frequently amusing practice of Enrico Fermi, perhaps the most widely creative physicist of our times. Fermi delighted to think up and at once to discuss and to answer questions which drew upon deep understanding of the world, upon everyday experience, and upon the ability to make rough approximations, inspired guesses, and statistical estimates from very little data.”
"Fermi questions encourage multiple approaches, emphasize process rather than “the answer”, and promote non-traditional problem solving strategies".
The answer to one such Fermi question is illustrated below.
How many credit cards are there in the world?
Ans: There are approximately 6 billion people in the world. Lets assume that a third live in areas where they cannot get credit cards (eg:rural areas, poverty stricken areas, etc). Of the 4 billion remaining, lets assume 3 quarters are adults. Of the 3 billion adults, a third doesn’t carry credit (say they have bad credit cards or they don’t believe in credit cards, are unemployed, etc). Of the 2 billion left who carry credit cards, each carries an average of 3 cards (Visa,
Result: There are 6 billion credit cards in the world.
This reminds me of the time I made a logical guess for the question asked in a quiz competition in my school days. " What is the rate of growth of the human nail per day?". The question was asked to the girl just before me and as I saw her fumbling for the answer, my mind calculated thus. I cut my nails approximately every week and they grow almost a millimeter by then, a week = 7days and I rounded it to ten days for easy calculation. 1mm divided by 10 gave me 0.1mm as the rate of growth of nails. And yes I scored a point there!
Fermi solutions though, don't seem as simple as this!!


