A call center agent has 305 numbers; each call takes 2 minutes; assuming every call is answered, what is the minimum time to guarantee delivery to Mr. Sharma?

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Multiple Choice

A call center agent has 305 numbers; each call takes 2 minutes; assuming every call is answered, what is the minimum time to guarantee delivery to Mr. Sharma?

Explanation:
Think of the task as pinpointing one person among 305 possibilities using yes/no information from each call. The fastest worst‑case method is to split the remaining possibilities in half each time, which requires ceil(log2(305)) questions. Since 2^8 = 256 < 305 ≤ 2^9 = 512, you need 9 calls. At 2 minutes per call, that’s 18 minutes in total. So the minimum time to guarantee delivery is 18 minutes.

Think of the task as pinpointing one person among 305 possibilities using yes/no information from each call. The fastest worst‑case method is to split the remaining possibilities in half each time, which requires ceil(log2(305)) questions. Since 2^8 = 256 < 305 ≤ 2^9 = 512, you need 9 calls. At 2 minutes per call, that’s 18 minutes in total. So the minimum time to guarantee delivery is 18 minutes.

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