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23 Mar 2020, 04:58
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C
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:
64% (02:14) correct
36%
(02:12)
wrong
based on 348
sessions
History
Date
Time
Result
Not Attempted Yet
The administration of a certain school surveys all 120 students to plan a field trip. Each student can express a preference for only one destination: the science museum, the art museum, or neither. The results of the student survey are shown above. Assuming that the maximum number of students who are allowed to visit their preferred museum visit that museum for the field trip, how many students who have a preference do not visit their preferred museum?
(1) Due to transportation constraints, the maximum number of students who can take a field trip to the science museum is 55.
(2) Due to high demand, the art museum can accommodate a maximum of 50 students.
Attachment:
2020-03-23_1556.png [ 35.56 KiB | Viewed 7466 times ]
27 Mar 2020, 12:43
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Students that prefer Science museum = 0.6 * 120 = 72
Students that prefer Art museum = 0.3 * 120 = 36
Students that have no preference = 0.1 * 120 = 12
Statement 1-
We can find number of students (72-55=17) who have science museum as their preference do not visit science museum, but we have no idea about students that prefer Art museum.
Insufficient
Statement 2-
We can only find number of students ( 0) who have art museum as their preference do not visit art museum.
Insufficient
Combing both statements.
We can find number of students (17+0=17) who have a preference do not visit their preferred museum.
Sufficient
Students that prefer Art museum = 0.3 * 120 = 36
Students that have no preference = 0.1 * 120 = 12
Statement 1-
We can find number of students (72-55=17) who have science museum as their preference do not visit science museum, but we have no idea about students that prefer Art museum.
Insufficient
Statement 2-
We can only find number of students ( 0) who have art museum as their preference do not visit art museum.
Insufficient
Combing both statements.
We can find number of students (17+0=17) who have a preference do not visit their preferred museum.
Sufficient
Bunuel
27 Mar 2020, 19:13
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Bunuel
Using the percentages that are provided, we can determine that 72 students wanted to visit the science museum, 36 wanted to visit the art museum, and 12 had no preference.
Statement 1: "Due to transportation constraints, the maximum number of students who can take a field trip to the science museum is 55."
Based on the information that was provided in the question, we know that 72 students preferred the science museum, so the number who didn't get their preference was 72 - 55 = 17. However, we have no information about the art museum students. INSUFFICIENT.
Statement 2: "Due to high demand, the art museum can accommodate a maximum of 50 students."
Based on the information that was provided in the question, we know that 36 students preferred the art museum, so all of them were able to go. However, we don't know anything about the science students. INSUFFICIENT.
1&2:
We know the number of art and science students who got to to their preferred destination based on statements 1 and 2. SUFFICIENT.
The correct answer is (C).
