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

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BSchool Forum Moderator
Joined: 29 Jan 2015
Posts: 1468
Location: India
WE: General Management (Non-Profit and Government)
Of the people who attended a conference, some are professors and some  [#permalink]

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27 Nov 2019, 06:25
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:54) correct 33% (01:35) wrong based on 27 sessions

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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.
Manager
Joined: 28 Feb 2014
Posts: 214
Location: India
GPA: 3.97
WE: Engineering (Education)
Re: Of the people who attended a conference, some are professors and some  [#permalink]

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01 Dec 2019, 02:31
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1
rohan2345 wrote:
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.

Only scientist = a
only professor = c
scientist and professor = b

0.8(a+b) = b
b = 4a ------(i)

To find whether a>c??

(1) No information of a and c. Insufficient

(2) 0.5(b+c) = b
b = c ----(ii)
from (i) and (ii), c = 4a. Sufficient

B is correct.
Re: Of the people who attended a conference, some are professors and some   [#permalink] 01 Dec 2019, 02:31
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