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24 Oct 2019, 01:08
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
45% (01:27) correct
55%
(02:21)
wrong
based on 11
sessions
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A science lab is conducting an experiment monitoring the appearance of genetic traits in laboratory rats. Of the three traits being monitored, one third of the rats were obese, three fourths of the rats had white fur, and one half of the rats had an elongated mandible. How many had all three of these traits?
(1) Of the 120 rats in the experiment, 40 had white fur and an elongated mandible.
(2) Of the 120 rats in the experiment, 40 had exactly two of the traits.
(1) Of the 120 rats in the experiment, 40 had white fur and an elongated mandible.
(2) Of the 120 rats in the experiment, 40 had exactly two of the traits.
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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24 Oct 2019, 23:40
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Bunuel
A science lab is conducting an experiment monitoring the appearance of genetic traits in laboratory rats. Of the three traits being monitored, one third of the rats were obese, three fourths of the rats had white fur, and one half of the rats had an elongated mandible. How many had all three of these traits?
(1) Of the 120 rats in the experiment, 40 had white fur and an elongated mandible.
(2) Of the 120 rats in the experiment, 40 had exactly two of the traits.
(1) Of the 120 rats in the experiment, 40 had white fur and an elongated mandible.
(2) Of the 120 rats in the experiment, 40 had exactly two of the traits.
A science lab is conducting an experiment monitoring the appearance of genetic traits in laboratory rats. Of the three traits being monitored,
one third of the rats were obese--- a+b+d+e=T/3,
three fourths of the rats had white fur---b+c+e+f=3T/4, and
one half of the rats had an elongated mandible----d+e+f+g=T/2.
How many had all three of these traits?----- e??
(1) Of the 120 rats in the experiment, 40 had white fur and an elongated mandible.
So, T=120, and e+f=40
(2) Of the 120 rats in the experiment, 40 had exactly two of the traits
So, T=120, and b+d+f=40
Combined..
e+f=b+d+f=40....(i)
a+b+d+e=120/3=40=b+d+f........a+e=f,....(ii)
From (i) and (ii), we get e+f=40 and a+e=f.......e+(a+e)=40.....a+2e=40...(iii)
three fourths of the rats had white fur---b+c+e+f=3T/4=90.....b+c+40=90...b+c=50.....(iv), and
one half of the rats had an elongated mandible----d+e+f+g=T/2=60.....d+40+g=60.....d+g=20....(v).
Now a+b+c+d+e+f+g=120 .. Substitute (i) (iv) and (v) in it....a+50+40+20=120...a=10
Substitute a=10 in a+2e=40...10+2e=40.....2e=30...e=15
Suff
C
Bunuel, can you please confirm the OA
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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