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Difficulty:
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Question Stats:
96% (00:50) correct
4%
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Last month Arturo received 6 paychecks. What was the average (arithmetic mean) amount of the paychecks that Arturo received last month?
(1) Half of the paychecks that Arturo received last month were in the amount of $300 each.
(2) Two of the paychecks that Arturo received last month were in the amount of $500 each.
Source: GMAT Prep [Official Practice Exam 3]
(1) Half of the paychecks that Arturo received last month were in the amount of $300 each.
(2) Two of the paychecks that Arturo received last month were in the amount of $500 each.
Source: GMAT Prep [Official Practice Exam 3]
19 Jan 2024, 12:05
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Last month Arturo received 6 paychecks. What was the average (arithmetic mean) amount of the paychecks that Arturo received last month?
To calculate the average amount, we use the formula Average = Sum/Number.
We already have the number of paychecks: 6.
Now, to calculate the average, we need the sum of the amounts of the paychecks.
(1) Half of the paychecks that Arturo received last month were in the amount of $300 each.
Using this information, we can tell that the sum of half, or 3/6, of the checks was $900.
At the same time, since we don't know the amounts of the other checks, we cannot calculate the average.
Insufficient.
(2) Two of the paychecks that Arturo received last month were in the amount of $500 each.
Using this information, we can tell that the sum of two of the checks was $1000.
At the same time, since we don't know the amounts of the other checks, we cannot calculate the average.
Insufficient.
Statements (1) and (2) combined
Combining the information from the two statements, we can find the sum of 5/6 of the checks, which is $1900.
However, we don't know the amount of the sixth check. So, the sum of all six checks could be any number greater than $1900.
Thus, the average could be any number over 1900/6.
Insufficient.
Correct Answer
To calculate the average amount, we use the formula Average = Sum/Number.
We already have the number of paychecks: 6.
Now, to calculate the average, we need the sum of the amounts of the paychecks.
(1) Half of the paychecks that Arturo received last month were in the amount of $300 each.
Using this information, we can tell that the sum of half, or 3/6, of the checks was $900.
At the same time, since we don't know the amounts of the other checks, we cannot calculate the average.
Insufficient.
(2) Two of the paychecks that Arturo received last month were in the amount of $500 each.
Using this information, we can tell that the sum of two of the checks was $1000.
At the same time, since we don't know the amounts of the other checks, we cannot calculate the average.
Insufficient.
Statements (1) and (2) combined
Combining the information from the two statements, we can find the sum of 5/6 of the checks, which is $1900.
However, we don't know the amount of the sixth check. So, the sum of all six checks could be any number greater than $1900.
Thus, the average could be any number over 1900/6.
Insufficient.
Correct Answer
