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03 Mar 2020, 01:38
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E
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:
70% (01:33) correct
30%
(01:38)
wrong
based on 151
sessions
History
Date
Time
Result
Not Attempted Yet
All 48 seniors in a certain high school take one of two English classes. What is the average (arithmetic mean) height of the seniors in this school?
(1) In the school, the average height of the seniors in the English class with the larger number of students is 70 inches
(2) In the school, the average height of the seniors in the English class with the smaller number of students is 4/5 of the average height of the seniors in the other English class
03 Mar 2020, 01:52
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(1) We don't know the average height and the number of the seniors in the English class with the smaller number of students. In addition, we don't know the number of the seniors in the English class with the larger number of students.
NOT SUFFICIENT
(2) We don't know the average height and the number of the seniors in the English class with the larger number of students. Additionally, we don't know the average height and the number of the seniors in the English class with the smaller number of students.
NOT SUFFICIENT
(1)+(2)
We only know that 70in and 56in are the average height of the seniors in the English class with the larger number of students and the smaller one, respectively. We still don't know the number of the seniors in each of the two English classes.
NOT SUFFICIENT.
FINAL ANSWER IS (E)
Posted from my mobile device
NOT SUFFICIENT
(2) We don't know the average height and the number of the seniors in the English class with the larger number of students. Additionally, we don't know the average height and the number of the seniors in the English class with the smaller number of students.
NOT SUFFICIENT
(1)+(2)
We only know that 70in and 56in are the average height of the seniors in the English class with the larger number of students and the smaller one, respectively. We still don't know the number of the seniors in each of the two English classes.
NOT SUFFICIENT.
FINAL ANSWER IS (E)
Posted from my mobile device
03 Mar 2020, 07:35
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Total number of Seniors in Both classes, A and B, = 48, An+Bn=48------(1)
We are to find the average height of the Seniors in the School.
1. In the school, the average height of the seniors in the English class with the larger number of students is 70 inches
Clearly insufficient. We need to know the average height of the other class and the number in each class in order to determine the average height.
2. In the school, the average height of the seniors in the English class with the smaller number of students is 4/5 of the average height of the seniors in the other English class
Statement 2 gives us a relationship between the average heights of the two classes. This is clearly not enough. We need to know the actual height of students in the larger class and the number of students in the classes in order to determine the overall average.
1+2
Both statements taken together still lack a key requirement in determining the average height. We still have no information on the number of students in the classes. Merely knowing that the total students in both classes is 48 and that one class larger in terms of the number of students is not enough. Both statements even when taken together are not sufficient.
The answer is E.
We are to find the average height of the Seniors in the School.
1. In the school, the average height of the seniors in the English class with the larger number of students is 70 inches
Clearly insufficient. We need to know the average height of the other class and the number in each class in order to determine the average height.
2. In the school, the average height of the seniors in the English class with the smaller number of students is 4/5 of the average height of the seniors in the other English class
Statement 2 gives us a relationship between the average heights of the two classes. This is clearly not enough. We need to know the actual height of students in the larger class and the number of students in the classes in order to determine the overall average.
1+2
Both statements taken together still lack a key requirement in determining the average height. We still have no information on the number of students in the classes. Merely knowing that the total students in both classes is 48 and that one class larger in terms of the number of students is not enough. Both statements even when taken together are not sufficient.
The answer is E.
