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Yesterday, each bottling machine at a bottling plant was operating at below maximum output. Did any of the machines fill less than 4,000 bottles?
(1) Each machine’s maximum daily output is between 6,000 and 15,000 bottles.
(2) Each machine operated at between 50 to 70 percent of its maximum output.
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Each bottling machine was operating at levels below maximum output.
Did any of the machines fill less than 4,000 bottles? The answer can be either Yes / No.
Statement 1:
Each machine’s maximum daily output is between 6,000 and 15,000 bottles.
This statement sets the maximum daily output range, which varies from 6000 to 15000 bottles.
Since, machines operate at below max output. We cannot ascertain the exact value.
Hence,
Insufficient Statement 2:
Each machine operated at between 50 to 70 percent of its maximum output.
Without knowing the maximum output levels. We cannot determine whether they operated at levels below 4000 bottles or not.
Hence,
Insufficient Combining both Statements 1 and 2, we get
6000 and 15000 are the min and max limits of MAXIMUM daily output.
50% of these levels bring us to 3000 and 7500.
While 70% of these levels bring us to 4200 and 10500.
So, the values can fall anywhere from 3000 to 10500.
we have a 3000 to 4000 levels which gives answer NO, and above that the values give YES.
Hence,
Insufficient Option E