Estimation & Analytical Thinking Questions
Estimation techniques (e.g., Fermi problems, back-of-the-envelope calculations) and analytical problem-solving approaches used in technical interviews and software engineering. Covers problem decomposition, quantitative reasoning, data interpretation, and constructing defensible assumptions to reach plausible conclusions.
EasyTechnical
83 practiced
Estimate the monthly infrastructure storage cost per active user for a photo-sharing app where the average user stores 200MB of photos and storage costs $0.02 per GB-month. Show conversions, assumptions, and a short note on additional overheads (metadata, backups) you might include.
MediumBehavioral
79 practiced
Describe a time you had to make a product decision with incomplete or noisy data. Explain the analytical approach you took, how you communicated uncertainty to stakeholders, and the outcome. What frameworks or heuristics did you apply to minimize downside risk?
MediumSystem Design
139 practiced
Design a back-of-the-envelope estimate for peak requests per second (RPS) for a new messaging feature given 10M monthly active users. Assume average 30 sessions/month per active, 10 requests per session, and 95th-percentile concurrency of 0.5% of active users. State all assumptions, compute peak RPS, and outline how you'd validate with telemetry.
MediumTechnical
87 practiced
Explain regression to the mean and provide a product example where it might lead to incorrect conclusions about a feature or experiment (e.g., acting on an unusually high-performing cohort). Describe concrete strategies a PM should use to avoid being misled.
MediumTechnical
93 practiced
Engineering estimates a delivery date very different from your earlier product estimate for the same scope. As the PM, describe a constructive process to align estimates: how you'd gather data, reconcile differences, surface hidden assumptions, and come to a working plan that preserves trust and schedule clarity.
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