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10 Feb 2020, 03:39
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If 20 percent of the students at a certain college take a writing class, what percent of the students at the college take a math class?
(1) 50 percent of the students who take a writing class also take a math class.
(2) 40 percent of the students who take a math class also take a writing class.
Are You Up For the Challenge: 700 Level Questions
(1) 50 percent of the students who take a writing class also take a math class.
(2) 40 percent of the students who take a math class also take a writing class.
Are You Up For the Challenge: 700 Level Questions
10 Feb 2020, 05:02
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Let us assume we have 100 students
Out of 100 20% took Writing Class i.e. 20
A. Out of 20 50% also took Maths i.e.: Total 10 students
But we do not know about students who did not take writing classes.
B. 40 % is Math students also took writing class
It is also insufficient
For C we combine both conditions:
Now, we know 40% of x = 10
That means x = 25
So, from C we get the solution
Out of 100 20% took Writing Class i.e. 20
A. Out of 20 50% also took Maths i.e.: Total 10 students
But we do not know about students who did not take writing classes.
B. 40 % is Math students also took writing class
It is also insufficient
For C we combine both conditions:
Now, we know 40% of x = 10
That means x = 25
So, from C we get the solution
shameekv1989
10 Feb 2020, 09:59
Kudos
Bookmarks
If 20 percent of the students at a certain college take a writing class, what percent of the students at the college take a math class?
(1) 50 percent of the students who take a writing class also take a math class.
(2) 40 percent of the students who take a math class also take a writing class.
Q: % taking Math class -> (Math class & Writing Class) + (Math class & Not Writing Class)
i) we know 20 take writing class -> 50% (20) take math class as well -> help us know how many take Math class and Writing class together -> i.e. (Math Class + Writing Class) = 10 -> Insufficient to know Math class percentage (since we don't know what math class and Not Writing Class % is)
ii) we don't know what Math class percentage is (say x). Then \(\frac{2}{5*x}\) = (Math Class + Writing Class) -> Insufficient since we don't know how many take Math Class + writing class amongst [Math class & Writing Class + Math class & Not writing Class]
Combining i) and ii) we know (Math Class + Writing Class) = 10 = \(\frac{2}{5*x}\) -> Sufficient to know x
Answer - C
(1) 50 percent of the students who take a writing class also take a math class.
(2) 40 percent of the students who take a math class also take a writing class.
Q: % taking Math class -> (Math class & Writing Class) + (Math class & Not Writing Class)
i) we know 20 take writing class -> 50% (20) take math class as well -> help us know how many take Math class and Writing class together -> i.e. (Math Class + Writing Class) = 10 -> Insufficient to know Math class percentage (since we don't know what math class and Not Writing Class % is)
ii) we don't know what Math class percentage is (say x). Then \(\frac{2}{5*x}\) = (Math Class + Writing Class) -> Insufficient since we don't know how many take Math Class + writing class amongst [Math class & Writing Class + Math class & Not writing Class]
Combining i) and ii) we know (Math Class + Writing Class) = 10 = \(\frac{2}{5*x}\) -> Sufficient to know x
Answer - C
