Fermi estimate: how many tube lights does a 10-million-resident city use?

Quick 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.

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.

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Ola
Jan 27, 2024
mediumProduct ManagerOtherProduct / Decision Making
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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.

Clarifying Questions Guidance

  • 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 Guidance

  • 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 Guidance

  • 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?