[email protected] wrote:A survey result shows that 60% of the people like action movies, 70% of the people like comedy movies, what could be the percentage of people that like both action and comedy movies?
a 10%,
b 25%,
c 45%
d 60%
e 70%
Could any of the experts please help me in this question. Kindly explain with the help of a diagram... According to me the answer should be 30%. But the other explanation is also not that bad. But please explain to me in more detail...
The question seems to be missing potential information. We are not told if there is percent of people surveyed who do not like either. Besides, we are not supposed to zero in to the exact answer as the stem reads "what could be the percentage of people that like both action and comedy movies?" If every person surveyed likes one or the other kind of movies, then the exact answer would have been 30, which is neither in the choices nor is directly asked. Let's try the choices one by one to check its possibility.
A. 10 is not possible because (60 - 10) + 10 + (70 - 10) is already more than 100.
B. 25 is not possible because (60 - 25) + 25 + (70 - 25) is already more than 100.
C. 45 is possible because (60 - 45) + 45 + (70 - 45) is within 100.
D. Should be ignored on main test.
E. Should be ignored on main test.
[spoiler]
Take C[/spoiler]