e-GMAT
60% of all students in a class commute by public transportation. If 30% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I. 5%
II. 30%
III. 60%
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
OA B
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60% of all students in a class commute by public
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Use a DOUBLE-MATRIX to organize the data.AAPL wrote:e-GMAT
60% of all students in a class commute by public transportation. If 30% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I. 5%
II. 30%
III. 60%
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
Let P = public transportation, NP = not public transportation, S = science, NS = not science.
60% of all students in a class commute by public transportation.
30% of the students aspire to be scientists.
The following matrix is yielded:
I: 5% do not commute by public transportation and do not aspire to be scientists
The following matrix is yielded:
Not viable: the red value cannot be greater than the blue value.
Eliminate any answer that includes Statement I (A, D, and E).
II: 30% do not commute by public transportation and do not aspire to be scientists
The following matrix is yielded:
This works.
Eliminate any answer that does not include Statement II (C).
The correct answer is B.
III: 30% do not commute by public transportation and do not aspire to be scientists
Not viable: the red value cannot be greater than the blue value.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
