Question

A municipality was conducting a test for pathogens in water across a city. There are 16 samples of water from tanks in different parts of the city, but only 8 testing kits. The lab technician decided to pool together the water samples into 8 bottles labeled A to H. Tank 1 - Bottle B,D,F,H Tank 2 - Bottle B,D,F,G Tank 3 - Bottle B,D,E,H Tank 4 - Bottle B,D,E,G Tank 5 - Bottle B,C,F,H Tank 6 - Bottle B,C,F,G Tank 7 - Bottle B,C,E,H Tank 8 - Bottle B,C,E,G Tank 9 - Bottle A,D,F,H Tank 10 - Bottle A,D,F,G Tank 11 - Bottle A,D,E,H Tank 12 - Bottle A,D,E,G Tank 13 - Bottle A,C,F,H Tank 14 - Bottle A,C,F,G Tank 15 - Bottle A,C,E,H Tank 16 - Bottle A,C,E,G If water from a tank has the pathogen, then each bottle containing a sample from it will test positive. If a bottle test positive, one of the tanks whose water samples were pooled into it contains the pathogen. If a bottle tests negative, then none of the tanks whose water samples were mixed into the bottle has the pathogen. If bottle C tests positive and bottle E, H, and A test negative, which tank had the pathogen?

Answer 1

Answer:

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