Estimation question
How would you estimate the total toll collected in one day across all the toll plazas in the country?
- Cars24
- Estimation
- Medium
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What this question tests
Tests structured estimation of a national infrastructure revenue figure using plaza count, traffic volume, and toll-rate assumptions.
How to approach it
- State the goal: estimate total daily toll revenue across a country's toll plazas, assuming India given the context.
- Estimate plaza count: assume roughly 800 national highway toll plazas.
- Estimate daily vehicles per plaza: assume 15,000 vehicles per plaza per day on average, varying by highway density.
- Estimate average toll per vehicle: assume a blended 60 rupees per crossing across cars, buses, and trucks.
- Compute: 800 plazas times 15,000 vehicles times 60 rupees, about 720 million rupees a day, then sanity-check against known national figures.
- Flag the simplification: real tolls vary sharply by vehicle class and highway, so treat this as directional.
What a strong answer includes
- States each assumption explicitly, plaza count, daily volume, average toll, before multiplying.
- Uses a blended per-vehicle rate and explains why, instead of one flat number across all vehicle types.
- Sanity-checks the result against publicly known national toll collection scale.
- Flags variance by highway and vehicle class as a real limitation of the estimate.
Common mistakes
- Guessing a single national figure with no decomposition into plazas, volume, and rate.
- Ignoring that trucks and buses pay significantly more than cars, skewing the average.
Likely follow-up questions
- How would this change on a holiday weekend versus a weekday?
- Which assumption would you try to validate first with real data?
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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