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At Acme University, there are 65 students who are taking finance and 5

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Sajjad1994
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At Acme University, there are 65 students who are taking finance and 5 [#permalink] New post   04 Oct 2023, 09:02
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65% (hard)

Question Stats:

58% (02:43) correct 42% (03:15) wrong based on 254 sessions
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Data Insights (DI) Butler 2023-24 [Question #13, Date: Oct-04-2023] [Click here for Details]



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.
TAKING EITHER FINANCE OR ECONOMICS TAKING BOTH FINANCE AND ECONOMICS NUMBER OF STUDENTS
23
30
70
85
110
125
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TAKING EITHER FINANCE OR ECONOMICS: 110 TAKING BOTH FINANCE AND ECONOMICS: 30
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Re: At Acme University, there are 65 students who are taking finance and 5 [#permalink] New post   06 Oct 2023, 10:16
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Sajjad1994 wrote:
Data Insights (DI) Butler 2023-24 [Question #13, Date: Oct-04-2023] [Click here for Details]



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.



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.
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Re: At Acme University, there are 65 students who are taking finance and 5 [#permalink] New post   27 Oct 2023, 13:06
Sajjad1994 wrote:
Data Insights (DI) Butler 2023-24 [Question #13, Date: Oct-04-2023] [Click here for Details]



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.


Sajjad1994 please post the OE because I tried to solve it using n(FuE)= n(F)+n(E)-n(FnE) and couldn't come to the right conclusion so I had to resort to educated guessing.
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Re: At Acme University, there are 65 students who are taking finance and 5 [#permalink] New post   30 Oct 2023, 10:05
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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.
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Re: At Acme University, there are 65 students who are taking finance and 5 [#permalink]
30 Oct 2023, 10:05
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