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01 Jun 2026, 14:45
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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.
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08 Jun 2026, 02:15
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GMAT Club 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.
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01 Jun 2026, 20:44
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We need to know whether the average time per record was less than 45 seconds.
Since there were 480 records, this is equivalent to asking whether the total time was less than:
480 × 45 = 21,600 seconds = 360 minutes.
So the question becomes:
Was the total time less than 360 minutes?
Statement (1):
It took no more than 24 minutes to enter all the records from any one client file.
We do not know how many client files there were.
If there were 10 client files, the total time could be at most 10 × 24 = 240 minutes (<360 minutes)
If there were 20 client files, the total time could be as much as 20 × 24 = 480 minutes. (>360 minutes.)
Statement (1) is not sufficient.
Statement (2):
The records came from 12 client files.
We know the number of files, but we do not know how long each file took.
Statement (2) is not sufficient.
Statements (1) and (2) together:
There were 12 files, and each took no more than 24 minutes.
Therefore, the total time was at most:
12 × 24 = 288 minutes.
Since 288 < 360, the average time per record must have been less than 45 seconds.
Both statements together are sufficient.
Answer: C
Since there were 480 records, this is equivalent to asking whether the total time was less than:
480 × 45 = 21,600 seconds = 360 minutes.
So the question becomes:
Was the total time less than 360 minutes?
Statement (1):
It took no more than 24 minutes to enter all the records from any one client file.
We do not know how many client files there were.
If there were 10 client files, the total time could be at most 10 × 24 = 240 minutes (<360 minutes)
If there were 20 client files, the total time could be as much as 20 × 24 = 480 minutes. (>360 minutes.)
Statement (1) is not sufficient.
Statement (2):
The records came from 12 client files.
We know the number of files, but we do not know how long each file took.
Statement (2) is not sufficient.
Statements (1) and (2) together:
There were 12 files, and each took no more than 24 minutes.
Therefore, the total time was at most:
12 × 24 = 288 minutes.
Since 288 < 360, the average time per record must have been less than 45 seconds.
Both statements together are sufficient.
Answer: C
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