Estimating the number of filling stations nationally
Question
Make a reasoned estimate of how many petrol stations there are in the country you are in.
Short answer
For the UK, roughly 8,000 to 10,000. Interviewers want a clear chain: about million cars each filling up roughly weekly gives about million fills a day; a station serving around fills a day implies about . State assumptions, sanity-check against local density, and quote a range rather than a precise number.
Adapted from Joshi, Denson & Downes, Quant Job Interview Questions and Answers, Q8.25, p.278; question and answer rewritten by SelfMadeQuant.com.
See the hint and the full worked solution in the question bank (free account).
Open the worked solution