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## gmatprep question pack 1

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sam117 Just gettin' started!
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gmatprep question pack 1 Tue May 08, 2012 7:42 am
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• Lap #[LAPCOUNT] ([LAPTIME])
Is there a way to solve this in 2 mn? The official solution is very long.

A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either "yes" or "no" or "unsure", and the numbers of students who gave these answers are listed in the table above. If 200 students answered"yes" only for subject M, how many of the students did not answer "yes" for either subject?

A. 100
B. 200
C. 300
D. 400
E. 500

OA:
B

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niketdoshi123 Really wants to Beat The GMAT!
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Tue May 08, 2012 10:08 am
Total students = 800
Students answered "YES" only for subject M = 200
So the remaining students, who answered "YES" for subject M, also answered "YES" for subject R.=> 500-200 = 300
Students who answered "YES" only for subject R=400-300 = 100
Students who did not answer "yes" for either subject = 800-(200+300+100) = 200

Thanked by: sam117, rahulvsd, rockfeld
rockfeld Just gettin' started!
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Sat Aug 18, 2012 2:54 pm
reply to niketdoshi123's solution. Why do you suppose that "the remaining students, who answered "YES" for subject M, also answered "YES" for subject R" ? the second choice of that 300 students could be any of: YES, NO, UNSURE. Am I missing smth?

) got it. the remain 300 stud. answered "yes to R" because if only one of them would answer "NO to R" or "Unsure to R", then this stud. would raise the initial # of students (200), that responded "Only Yes to M".

George7 Just gettin' started!
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Tue Oct 23, 2012 10:44 am
Can any expert help please? Thank you.

George7 Just gettin' started!
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Fri Nov 09, 2012 11:52 am
rockfeld wrote:
reply to niketdoshi123's solution. Why do you suppose that "the remaining students, who answered "YES" for subject M, also answered "YES" for subject R" ? the second choice of that 300 students could be any of: YES, NO, UNSURE. Am I missing smth?

) got it. the remain 300 stud. answered "yes to R" because if only one of them would answer "NO to R" or "Unsure to R", then this stud. would raise the initial # of students (200), that responded "Only Yes to M".
Because it is written that "200 students answered YES only for subject M", this means that the remaining 300 students answered YES for M and for at least another subject, which can only be R. If it were not the case then the remaining 300 students would have answered YES only for subject M, this contradicts what the problem says.

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GMATGuruNY GMAT Instructor
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Fri Nov 09, 2012 12:30 pm
Quote:
----------------YES---------NO----UNSURE
Subject M----500--------200-----100
Subject R----400--------100-----300

A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either "yes" or "no" or "unsure", and the numbers of students who gave these answers are listed in the table above. If 200 students answered "yes" only for subject M, how many of the students did not answer "yes" for either subject?

A. 100
B. 200
C. 300
D. 400
E. 500
Use a Venn diagram to represent all of the YES voters:

The TOTAL who voted YES for M = 500.
The number who voted YES for ONLY M = 200.
Thus, the number who voted YES for BOTH M AND R = 300.

Since the TOTAL number who voted YES for R=400, and 300 of these people voted YES for BOTH M AND R, the number who voted YES for ONLY R = 400-300 = 100.

Adding the values in the Venn diagram, we get:
Total number of YES voters = 200+300+100 = 600.

Since the total number of voters = 800, and the total number of YES voters = 600, the number who did NOT vote YES = 800-600 = 200.

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