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04 Oct 2023, 09:02
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TAKING EITHER FINANCE OR ECONOMICS: 110
TAKING BOTH FINANCE AND ECONOMICS: 30
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
72% (02:23) correct
28%
(03:09)
wrong
based on 905
sessions
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At Acme University, there are 65 students who are taking finance and 55 students who are taking economics.
In the table that follows, select two numbers among the numbers listed that are consistent with the information given. In the first column, select the largest number of students at Acme University who are taking either finance or economics, and in the second column, select the largest number of students at Acme University who are taking both finance and economics. Select only one option in each column.
In the table that follows, select two numbers among the numbers listed that are consistent with the information given. In the first column, select the largest number of students at Acme University who are taking either finance or economics, and in the second column, select the largest number of students at Acme University who are taking both finance and economics. Select only one option in each column.
| TAKING EITHER FINANCE OR ECONOMICS | TAKING BOTH FINANCE AND ECONOMICS | NUMBER OF STUDENTS |
| 23 | ||
| 30 | ||
| 70 | ||
| 85 | ||
| 110 | ||
| 125 |
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Official Answer
TAKING EITHER FINANCE OR ECONOMICS: 110
TAKING BOTH FINANCE AND ECONOMICS: 30
30 Oct 2023, 10:05
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Official Explanation
There are 65 students taking finance and 55 students taking economics. The total number of students taking either finance or economics is 65 + 55, or 120. The largest number listed in the table is 125, which is too large. The next largest number is 110. Of the numbers listed in the table, the largest number of students taking either finance or economics is 110.
If all of the students taking economics were also taking finance, there would be 55 students taking both courses. This is the largest number of students who could take both courses. However, the number 55 is not listed in the table, and 70 is too large. So of the numbers listed in the table, the largest number of Acme students who are taking both finance and economics is 30.
There are 65 students taking finance and 55 students taking economics. The total number of students taking either finance or economics is 65 + 55, or 120. The largest number listed in the table is 125, which is too large. The next largest number is 110. Of the numbers listed in the table, the largest number of students taking either finance or economics is 110.
If all of the students taking economics were also taking finance, there would be 55 students taking both courses. This is the largest number of students who could take both courses. However, the number 55 is not listed in the table, and 70 is too large. So of the numbers listed in the table, the largest number of Acme students who are taking both finance and economics is 30.
General Discussion
06 Oct 2023, 10:16
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Sajjad1994
1)select the largest number of students at Acme University who are taking either finance or economics
Considered the case where there is no overlap of students between 2 cases.
2)select the largest number of students at Acme University who are taking both finance and economics
The maximum possible value of overlap is 55. Hence, from answer choice, I selected 30.
