Solutions
Get detailed explanations to advanced GMAT questions.
Question
—————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?
Option A:
100
Option B:
200
Option C:
300
Option D:
400
Option E:
500
Difficulty Level
HardSolution
Option B is the correct answer.
Option Analysis
Since 200 students answered “yes” only for subject M, then the remaining 300 students who answered “yes” for subject M, also answered “yes” for subject R. So, 300 students answered “yes” for both subjects.
If 300 students answered “yes” for both subjects, then 400-300=100 students answered “yes” only for subject R.
So, we have that:
200 students answered “yes” only for subject M;
100 students answered “yes” only for subject R;
300 students answered “yes” for both subjects;
Therefore 800-(200+100+300)=200 students did not answer “yes” for either subject.
Related Questions
- Which of the following is an integer?
- Does 2m – 3n = 0
- P, Q, R and S are points on the number line in that order. If the distance from P to S is 10, what is the…
- All of the 540 people who attended an education convention were either teachers or administrators. There…
- A string of 10 light bulbs is wired in such a way that if any individual light bulb fails, the entire string…