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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Step-by-step explanation:

Answer 2

Answer:

Tank 6

Step-by-step explanation:

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