Of the people who attended a conference, some are professors and some

Question

Of the people who attended a conference, some are professors and some are scientists. If 80% of the scientists are also professors, is the number of scientists more than the number of professors?

(1) 45% of the attendees are neither a professor nor a scientist.

(2) 50% of the professors are also scientists.

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Shwarma · Answer

Option C?

x= scientists
Y= profs

0.8x=0.5y
x=5/8(y)

so we know x<y...
so sufficient.

Purnank · Answer

IMO B.

Given - Of the people who attended a conference, some are professors and some are scientists.
Let n(A) - Is count of scientist and n(B) -Count for professor. hence those who are both scientist and professor n(AUB)
also, given 80% of the scientists are also professors. So, If we assume count for scientist n(A) = 5x the n(AUB) will be '4x' --(Eq1)
So far we have only this much info.
Lets check whether the number of scientists more than the number of professors from given condition.

1st - 45% of the attendees are neither a professor nor a scientist.
So, 55% will be professor, scientist or both. but we dont have anyother information about the counts hence not sufficient.

2nd - 50% of the professors are also scientists.
Therfore from here we will get the n(B) = 2*n(AUB) = 2*4x = 8x.
and on comparison we can answer n(A) < n(B).
The number of scientists are not more than the number of professors. Hence Sufficient.

Akkiiii · Answer

I think    B    can be the answer since we have already been provided the information that 80% of S are also P
and B states that  50% of the professors are also scientists.

So 80% of S= 50% of P

P>S

prantorboni · Answer

From the question, the only information we have is that 80% of the scientists are also professors.

According to the statement 1, 45% of the attendees are neither a professor nor a scientist. This statement doesn't provide any additional information other than what we already have. So, answer choice A & D are out.

According to the statement 2, 50% of the professors are also scientists. Based on this information, let's assume, there are a total 160 numbers of professors attending the conference. Among those, 50% equal to 80 persons are scientists. Certainly, these 80 persons are the 80% of the scientists who are also professors. Meaning, there are also 20 scientists who are not professors. However, in this specific scenario, the number of professors remain 160 which is certainly higher than the number of scientists. So, B alone is sufficient to answer the question.

Answer B.

Of the people who attended a conference, some are professors and some

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GMAT Data Sufficiency (DS) Questions

Of the people who attended a conference, some are professors and some

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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