Estimation question
Estimate the number of flags hoisted on 76th Republic Day of India.
- Estimation
- Medium
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What this question tests
Estimation skill: breaking a vague national count into a structured, defensible calculation with clear assumptions.
How to approach it
- State the scope: flags hoisted at official Republic Day events, not every flag owned by a household.
- Break India into segments: government buildings, schools, and community events, since each hoists at least one flag.
- Estimate counts per segment: roughly 250,000 schools, 600,000 villages with a panchayat office, plus government buildings and private institutions.
- Assume most schools and government offices hoist exactly one flag, while larger campuses might hoist a few.
- Sum the segments and round to an order of magnitude rather than a false-precision figure.
- Sanity check against population and typical civic participation in a Republic Day context.
What a strong answer includes
- Breaks the population into clear buckets, schools, government offices, and village panchayats, instead of guessing one blended number.
- States numeric assumptions plainly, for example roughly 1.5 million schools in India and most hoisting one flag.
- Arrives at an order of magnitude, in the low millions of flags, and says so explicitly as an estimate.
- Flags the biggest uncertainty, whether private homes and businesses should count, and states the choice to exclude them.
Common mistakes
- Giving a single guess with no visible breakdown of where the number came from.
- Confusing total flags in circulation with flags actually hoisted that day.
Likely follow-up questions
- How would your estimate change if you included flags flown at private homes?
- What data source would you use to sanity check this in real life?
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Learn the skill behind it
Chapters of the AI PM course that teach what this question tests.
- Chapter 2: Data fluency: SQL, logs, and reading the truth yourself
- Chapter 9: Prove it paid off: outcomes, economics, and pricing
- Chapter 14: Get the job: the AI PM interview loop