You have 45 minutes, two interviewers are minimally responsive, and the problem statement is vague. Walk through how you will proactively drive clarity, align on goal and metrics, and still deliver a defensible result.
Cover:
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Your opening 2-minute script to set agenda, confirm the decision goal, and propose a success metric with guardrails; include exact phrasing you would use.
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How you will log explicit assumptions (visibility, cadence, where you record them) and seek time-boxed confirmation when stakeholders do not engage.
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Tactics to resolve grain misalignment (e.g., they ask for 'average' but you insist on sum-first-then-ratio), and how you would de-escalate impatience while maintaining analytical standards.
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Two decision checkpoints you would schedule (e.g., minute 10 scope lock, minute 30 results review) and what you will do if they remain silent at each.
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How you will close the interview: crisp readout, risks, next steps, and a clear ask for alignment on your conclusion.