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A data-entry clerk entered all records from several client files in one day. If the clerk entered 480 records in total that day, was the average (arithmetic mean) time per record less than 45 seconds?
(1) It took no more than 24 minutes to enter all the records from any one client file.
(2) The records entered that day came from 12 client files.
(1) It took no more than 24 minutes to enter all the records from any one client file.
(2) The records entered that day came from 12 client files.
06 Aug 2026, 05:20
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Official Solution:
A data-entry clerk entered all records from several client files in one day. If the clerk entered 480 records in total that day, was the average (arithmetic mean) time per record less than 45 seconds?
The clerk entered 480 records.
For the average time per record to be less than 45 seconds, the total time must be less than:
\(480 * 45 = 21,600\) seconds \(= 360\) minutes
So the question asks whether the total time was less than 360 minutes.
(1) It took no more than 24 minutes to enter all the records from any one client file.
This gives a maximum time per client file, but we do not know how many client files there were.
Not sufficient.
(2) The records entered that day came from 12 client files.
This gives the number of client files, but it gives no information about the time spent on each file.
Not sufficient.
(1)+(2) From statement (2), there were 12 client files.
From statement (1), each client file took no more than 24 minutes.
So the total time was at most:
\(12 * 24 = 288\) minutes
Since 288 minutes is less than 360 minutes, the average time per record was definitely less than 45 seconds.
Sufficient.
Answer: C
A data-entry clerk entered all records from several client files in one day. If the clerk entered 480 records in total that day, was the average (arithmetic mean) time per record less than 45 seconds?
The clerk entered 480 records.
For the average time per record to be less than 45 seconds, the total time must be less than:
\(480 * 45 = 21,600\) seconds \(= 360\) minutes
So the question asks whether the total time was less than 360 minutes.
(1) It took no more than 24 minutes to enter all the records from any one client file.
This gives a maximum time per client file, but we do not know how many client files there were.
Not sufficient.
(2) The records entered that day came from 12 client files.
This gives the number of client files, but it gives no information about the time spent on each file.
Not sufficient.
(1)+(2) From statement (2), there were 12 client files.
From statement (1), each client file took no more than 24 minutes.
So the total time was at most:
\(12 * 24 = 288\) minutes
Since 288 minutes is less than 360 minutes, the average time per record was definitely less than 45 seconds.
Sufficient.
Answer: C
