How would you structure your approach to solve that question ?
How Many Fish are in all the World’s Seas?
I will use the following approach:
1) Take the Sea you know and try to calculate it's Volume. You may use the speed of a plain as the benchmark and assume that the Sea is 1/2 of a Sphere:
- It takes X hours to fly from A to B over the Sea
- The average speed of a plane is Z
- Thus the radius of the Sea is 1/2 * X* (Z-1) (Because it takes extra hour to take off and land)
- The volume of the sphere is 4/3 * p* rˆ3
- The volume of the Sea is 1/2 * 4/3 * p * rˆ3 (Half of the sphere)
2) Make assumptions about the number of fish per 100 mˆ3
3) Calculate volume of fish in the Sea using your assumptions about the fish
4) Calculate the other seas using the assumption about their relative size
5) Sum up the numbers
What they want to understand is what is your approach to that brainteaser. In this case i would suggest in a general perspective to do the following:
Start saying that in each KM3 there are x Number of Fish, then you can proceed by calculating the numer of fish in each ocean, having in mind that there are a lot of differences in the composition of the Atlantic´s ocean than the Dead sea.
Based on that, you should calculate the volume of each ocean and then making multiplying it by the number of fish in each of them. if you want to go further in your analysys, you could come up with the fish born seasonality, which could impress your interviewer but at the same time could mean much difficult calculations.
Hope it works.
Juan Pablo Montoya
I would drastically simplify how to calculate the size of the sea by starting with assumption that there is a maximum sea depth that is compatible with most life, call it 30, 50, 100 meters. Once you agree on that you can approximate all seas to a composition of cuboids vs. spheres, making calculations faster and smoother. Once calculated the volume, apply assumed population per cubic kilometer and voila, done.
hope it helps,
Related BootCamp article(s)
Your client, large automotive OEM WyCar, has developed its first fully electric vehicle (EV) and introduced it as a pilot on the Austrian market last year. However, sales have been far below the expected numbers. The management has engaged you to support them in understanding the reasons and advise ... Open whole case
You have inherited the “Old Winery” from your grandfather, a winery which has been family owned for five generations and can be dated back to the 16th century. Half of the eleven hectares are used to grow white grapes, the other half to grow red grapes. They are grown in the conventional way, i.e. ... Open whole case
Onlinestar, an online retailer of furniture and garden products (core business), has grown significantly in recent years as a result of an expansion of its product portfolio. The company mainly imports goods from Chinese manufacturers but also operates its own production of cat lavatories (special b ... Open whole case
Your customer is the market leader in the North American elevator service business. This is divided into the areas of elevator construction, elevator modernization and service. The customer has a particularly strong branch network in medium-sized cities and would now like to expand its business in ... Open whole case
Our client Pharma Finance just finalized its first investment round and received $ 40m to invest in the build-up of a pharmaceutical manufacturing company. The CEO is mainly interested in high margins and profitable markets, with a sustainable and green production. This is why he wants you to find o ... Open whole case