Estimation question

Estimate the number of tube lights used in a big city (10 Million Population).

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What this question tests

Tests structured estimation, breaking a city-scale physical quantity into per-building and per-room assumptions.

How to approach it

  1. State the funnel: population, households, buildings/units per household type, then tube lights per unit or room.
  2. Assume average household size of 4, giving roughly 2.5 million households for a 10 million population city.
  3. Assume an average home has 4 rooms with tube lights (living, bedrooms, kitchen), so roughly 10 million tube lights in homes alone.
  4. Add commercial and public spaces: offices, shops, and streetlights, assumed roughly equal in count to another 20-30% of the residential figure, adding about 2.5 to 3 million more.
  5. Total the estimate: roughly 12 to 13 million tube lights across the city, stated as an order-of-magnitude figure, not a precise count.

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