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CLIMBTHELADDER
Joined: 14 Feb 2016
Last visit: 16 Jan 2019
Posts: 53
Given Kudos: 49
Schools: ESADE '17 ESSEC '18 St.Gallen'17 Bocconi '17
10 Jan 2019, 03:06
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B
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:
60% (01:37) correct
40%
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wrong
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The average number of students per class at School X is 25 and the average number of students per class at School Y is 33. Is the average number of students per class for both schools combined less than 29?
1) There are 12 classes in school X.
2) There are more classes in school X than in school Y.
1) There are 12 classes in school X.
2) There are more classes in school X than in school Y.
Updated on: 17 May 2021, 07:30
Originally posted by BrentGMATPrepNow on 05 Mar 2020, 12:00.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:30, edited 1 time in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:30, edited 1 time in total.
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CLIMBTHELADDER
Important principle. When combining the averages (means) of two groups, the group with the most members will have the greater effect on the combined averages. That is, the combined average will be closer to the group with the most members.
Example:
Group A has an average age of 10 years
Group B has an average age of 20 years
- If the two groups have the same number of members, the combined average will be 15 (right in the middle).
- If group A has more members than group B, the combined average will be less than 15 (closer to group A's average of 10).
- If group B has more members than group A, the combined average will be more than 15 (closer to group B's average of 20).
Statement 1: no information about the number of classes at school Y
INSUFFICIENT
Statement 2: If school X has more classes, the combined average will be closer to 25 than to 33
Since 29 is halfway between 25 and 33, we know that the combined average number of students per class for both schools MUST BE less than 29
SUFFICIENT
Answer = B
Cheers,
Brent
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General Discussion
10 Jan 2019, 05:51
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The average number of students per class at School X is 25 and the average number of students per class at School Y is 33. Is the average number of students per class for both schools combined less than 29?
(33+25)/2 = 29
At least equal number of students per class in school x and equal number of students per class in school y should be present for combined average to be 29
OR
Y >x
1) There are 12 classes in school X.
No information about Y
Insufficient
2) There are more classes in school X than in school Y.
From above explanation X > Y, implies avg of students both classes combines is < 29
Sufficient
Option B is correct
(33+25)/2 = 29
At least equal number of students per class in school x and equal number of students per class in school y should be present for combined average to be 29
OR
Y >x
1) There are 12 classes in school X.
No information about Y
Insufficient
2) There are more classes in school X than in school Y.
From above explanation X > Y, implies avg of students both classes combines is < 29
Sufficient
Option B is correct
