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Updated on: 28 Apr 2020, 06:59
Originally posted by GMATinsight on 21 Apr 2020, 23:14.
Last edited by Bunuel on 28 Apr 2020, 06:59, edited 3 times in total.
Last edited by Bunuel on 28 Apr 2020, 06:59, edited 3 times in total.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
95% (00:54) correct
5%
(01:16)
wrong
based on 1366
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There are 2 groups of students who took a history test. Was the average (arithmetic mean) score of the students in Group A higher than the average score of the students in Group B who took the test?
(1) Of the students who took the test, 10 were in Group A and 12 were in Group B.
(2) On the test, the highest score achieved was achieved by a Group B student and the lowest score achieved was achieved by a Group A student.
DS50241.02
_________________
(1) Of the students who took the test, 10 were in Group A and 12 were in Group B.
(2) On the test, the highest score achieved was achieved by a Group B student and the lowest score achieved was achieved by a Group A student.
DS50241.02
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GMATinsight (Tutor & Admission Consultant) | Contact for a FREE trial session
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GMATinsight
The video solution that explains every detail is as mentioned below:
Answer: Option E
The links to other new OG 2021 Questions are in signature.
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GMATinsight (Tutor & Admission Consultant) | Contact for a FREE trial session
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
FREE Resources (Recommended BOOKMARKS):
8 FREE Focus Tests | Dynamic Focus Calculator | Data Insight (DI): Guide/Analysis/20+Video solution of Official Qns.
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
FREE Resources (Recommended BOOKMARKS):
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General Discussion
Assume number of students in Group A Is 'x' and in Group B is 'y'
Sum of scores of students of A = A; Sum of scores of students of B=b
average (arithmetic mean) score of the students in Group A = A/ x
average (arithmetic mean) score of the students in Group A = B/ y
We need Value of A,x, B and y or the value of A/x and B/y to compare the averages of 2 groups.
Statement 1 - We get the value of x and y. We have no idea about A and B
Insufficient
Statement 2- We have no idea about A,B, x or y
Insufficient
Combining both statements
We still don't have values of A and B
Insufficient
E
Sum of scores of students of A = A; Sum of scores of students of B=b
average (arithmetic mean) score of the students in Group A = A/ x
average (arithmetic mean) score of the students in Group A = B/ y
We need Value of A,x, B and y or the value of A/x and B/y to compare the averages of 2 groups.
Statement 1 - We get the value of x and y. We have no idea about A and B
Insufficient
Statement 2- We have no idea about A,B, x or y
Insufficient
Combining both statements
We still don't have values of A and B
Insufficient
E
GMATinsight
Posts: 6,727
GMATinsight
Target question: Was the average (arithmetic mean) score of the students in Group A higher than the average score of the students in Group B who took the test?
Statement 1: Of the students who took the test, 10 were in Group A and 12 were in Group B.
To calculate the average score for each group, we need:
- The sum of all scores in each group
- The number of students in each group
Statement 1 provides the number of students in each group, but we still don't know the sum of scores for each group.
Statement 1 is NOT SUFFICIENT
Statement 2: On the test, the highest score achieved was achieved by a Group B student and the lowest score achieved was achieved by a Group A student.
This just tells us about 1 student from each group.
Also, we still need to know the number of students in each group.
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
When we combine both statements, we know the total number of students in each group, and we know a TINY BIT about 1 score from each group.
As such, the combined statements are NOT SUFFICIENT
If you're not 100% convinced, consider the following scenarios that satisfy BOTH statements:
Case a: The Group A scores are {1,1,1,1,1,1,1,1,1,1} and the Group B scores are {5,5,5,5,5,5,5,5,5,5,5,5,}. In this case, the answer to the target question is NO, Group A's average score is NOT greater than Group B's average score
Case b: The Group A scores are {1,99,99,99,99,99,99,99,99,99} and the Group B scores are {2,2,2,2,2,2,2,2,2,2,2,10}. In this case, the answer to the target question is YES, Group A's average score IS greater than Group B's average score
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
Posts: 4,849
Solution:
Let there be x students in Group A and y students in Group B.
Let sum of scores in Group A = a and that of Group B =b.
Hence the average of Group A = a/x and the average of Group B = b/x.
We are asked if average of Group A> average of Group B
or if a/x > b/x ?
St (1):- Of the students who took the test, 10 were in Group A and 12 were in Group B.
Given x=10,y=12 but we are not aware of the values of a and b. (Insufficient)
St(2):- On the test, the highest score achieved was achieved by a Group B student and the lowest score achieved was achieved by a Group A student.
No specific information regarding the value of a, b, x, y is provided. (Insufficient)
On combining both, we still do not have the specific values of a, b, x, y. (Insufficient)
Thus option (e)
Hope this helps
Devmitra Sen (GMAT Quant Expert)
Let there be x students in Group A and y students in Group B.
Let sum of scores in Group A = a and that of Group B =b.
Hence the average of Group A = a/x and the average of Group B = b/x.
We are asked if average of Group A> average of Group B
or if a/x > b/x ?
St (1):- Of the students who took the test, 10 were in Group A and 12 were in Group B.
Given x=10,y=12 but we are not aware of the values of a and b. (Insufficient)
St(2):- On the test, the highest score achieved was achieved by a Group B student and the lowest score achieved was achieved by a Group A student.
No specific information regarding the value of a, b, x, y is provided. (Insufficient)
On combining both, we still do not have the specific values of a, b, x, y. (Insufficient)
Thus option (e)
Hope this helps
Devmitra Sen (GMAT Quant Expert)
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