Fermi estimate: how many tube lights does a 10-million-resident city use?
Company: Ola
Role: Product Manager
Category: Product / Decision Making
Difficulty: medium
Interview Round: Other
A large city has roughly 10 million residents. Estimate how many tube lights the city uses. Show how you break the problem down, label each assumption, and finish with a number and a sense of how far off it could be.
```hint Count where the tubes hang
Tube lights sit at very different densities in homes, workplaces and institutions. Give each kind of place its own countable driver and a per-unit figure to multiply it by.
```
### Clarifying Questions
- Does "tube light" mean only linear tube fittings (fluorescent or LED tubes), or should bulbs, CFLs and LED panels count too?
- Does "uses" mean tubes installed and working today, or tubes bought or replaced over a year?
- Which country is the city in? Home sizes and lighting habits differ widely between, say, an Indian metro and a US city.
- Should street lighting and other outdoor public lighting be included?
### What a Strong Answer Covers
- A scoped definition of which fittings count and whether the target is the installed stock or yearly purchases, settled before any arithmetic
- A top-line equation that covers every kind of place tube lights are used, not only homes, with a countable driver for each segment
- Labeled, round assumptions that vary across kinds of homes and buildings rather than one flat average, each with a one-line rationale
- Arithmetic that is correct, unit-consistent and easy to follow
- A sanity check from a second angle, a final range, and the inputs that move it most
### Follow-up Questions
- How would you turn your figure into yearly replacement demand that a lighting manufacturer could plan production around?
- As the city switches from tubes to LED panels and bulbs, how would your answer change over the next five years?
- Which assumption moves your answer the most, and what quick data collection would tighten it?
Overview: A guesstimate question asking how many tube lights are in use in a city of 10 million people. It tests scoping which fittings count, covering homes as well as workplaces and institutions, stating round assumptions, doing clean arithmetic, and sanity-checking the final range.