Source: e-GMAT
100 students appeared for two tests-Maths and English. For every student who passed in both the tests, 8 students passed only in Maths and 9 students passed only in English. How many students passed in neither Maths nor English?
1) More than 4 students passed in both the tests.
2) Less than 6 students passed in both the tests.
The OA is A
100 students appeared for two tests-Maths and English. For
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100 = Only Math + Only English + Both + NeitherBTGmoderatorLU wrote:Source: e-GMAT
100 students appeared for two tests-Maths and English. For every student who passed in both the tests, 8 students passed only in Maths and 9 students passed only in English. How many students passed in neither Maths nor English?
1) More than 4 students passed in both the tests.
2) Less than 6 students passed in both the tests.
For every student who passed in both the tests, 8 students passed only in Maths and 9 students passed only in English.
Let B = both, implying that Only Math = 8B and that Only English = 9B.
Thus:
100 = 8B + 9B + B + Neither
100 = 18B + Neither
Neither = 100-18B
Statement 1:
Since Neither = 100-18B and B≥5, only B=5 is possible:
Neither = 100 - (18*5) = 100 - 90 = 10
SUFFICIENT.
Statement 2:
If B=5, then Neither = 10, as shown above.
If B≠5, then Neither ≠10.
Since Neither can be different values, INSUFFICIENT.
The correct answer is A.
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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