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16 Aug 2019, 02:42
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
64% (01:20) correct
36%
(01:54)
wrong
based on 78
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In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting?
(1) Of the 180 students, 36 do not study accounting.
(2) A total of 144 students study accounting.
(1) Of the 180 students, 36 do not study accounting.
(2) A total of 144 students study accounting.
16 Aug 2019, 02:59
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Bunuel
Total = Finance + Accounting - Both + n
In a school, 180 students study finance or accounting or both. So n = Niether = 0
If 60 of these students do not study finance, Students who study Accounting = 60
(1) Of the 180 students, 36 do not study accounting. ==> French - Both = 36 ==> 120 - 36 = 84
Sufficient.
(2) A total of 144 students study accounting
144 students study accounting = Accounting - Both = 144 ==> Both = 144-60 = 84
Sufficient.
Hence D
16 Aug 2019, 03:14
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From the question, we know that 180 students study either accounting (A) or finance (F) or both (x).
We also know that 60 students do not study F.
The fact that the 180 students study either A or F or both means that a student taken out of the 180 study at least 1 of the subjects. So none = 0
Since students studying none is zero, students who do not study F is equal to students who study only A. So A only = 60.
1. We know that 36 do not study A, implying F only is 36.
But Fonly + Aonly + x = 180
60+36+x = 180
x = 84.
Statement 1 alone is sufficient since we are to determine the number of students who take both A and B as 84 students
Statement 2: a total 144 students study A.
Meaning 144= Aonly + x
144=60+x
x = 84.
Statement 2 alone is also sufficient to determine the number of students who take both subjects.
The answer is Therefore D.
Posted from my mobile device
We also know that 60 students do not study F.
The fact that the 180 students study either A or F or both means that a student taken out of the 180 study at least 1 of the subjects. So none = 0
Since students studying none is zero, students who do not study F is equal to students who study only A. So A only = 60.
1. We know that 36 do not study A, implying F only is 36.
But Fonly + Aonly + x = 180
60+36+x = 180
x = 84.
Statement 1 alone is sufficient since we are to determine the number of students who take both A and B as 84 students
Statement 2: a total 144 students study A.
Meaning 144= Aonly + x
144=60+x
x = 84.
Statement 2 alone is also sufficient to determine the number of students who take both subjects.
The answer is Therefore D.
Posted from my mobile device
