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= 6.28r - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 5Ray needs to analyze 120 soil samples for a biotech patent application. He divides them equally among 5 lab technicians. After initial review, each technician finds 20% of their samples contain rare microbial strains. How many samples with rare strains did Ray’s team identify in total?

📌 Each technician receives 120 / 5 = <<120 / 5 = 24>>24 samples.

📌 Each finds 20% with rare microbes: 24 × 0.20 = <<24 * 0.20 = 4.8>>4.8 samples.

📌 Since samples are whole, and 20% of 24 is exactly 4.8, total across 5 technicians is 5 × 4.8 = <<5 * 4.8 = 24>>24 samples.

📌 Dr. Kapoor, a biotechnology patent attorney, is reviewing 180 gene sequences for novelty. She classifies 1/3 as novel, 1/4 as obvious, and the rest as common. Of the novel ones, 25% are deemed patentable after legal review. How many gene sequences are patentable?

📌 Novel sequences: 180 × (1/3) = <<180 * 1/3 = 60>>60.

📌 Patentable novel sequences: 60 × 0.25 = <<60 * 0.25 = 15>>15.

📌 Capitalize: The researcher filed 48 patent claims, 25% of which are independent claims. Of the independent claims, 1/3 include novel protein sequences, and 40% of those are approved immediately. How many novel protein sequence claims were approved?

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