neeti2711 wrote:A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 10:00 a.m., at what time was it one-eighth full?
(A) 4:00 a.m.
(B) 5:00 a.m.
(C) 6:00 a.m.
(D) 7:00 a.m.
(E) 9:00 a.m.
Let the full container = 8 bacteria.
Since the container is half full at 10am, the number of bacteria at 10am = (1/2)8 = 4.
When the container is one-eighth full, the number of bacteria = (1/8)8 = 1.
Since the culture quadruples every hour, it takes one hour for the number of bacteria to increase from 1 to 4, implying that the container was one-eighth full at 9am.
The correct answer is
E.
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