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# A science lab is conducting an experiment monitoring the appearance of

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Math Expert
Joined: 02 Sep 2009
Posts: 50060
A science lab is conducting an experiment monitoring the appearance of  [#permalink]

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28 Mar 2017, 04:56
00:00

Difficulty:

65% (hard)

Question Stats:

25% (01:32) correct 75% (01:55) wrong based on 45 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.

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Joined: 21 Mar 2016
Posts: 530
Re: A science lab is conducting an experiment monitoring the appearance of  [#permalink]

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29 Mar 2017, 00:25
stat 1 : not suff,, no info about rats who have (white fur and obese) and obese and (long mandibles)

stat 2 : no info about rats with none of the traits,,,

both combined,,not suff

ans E
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Joined: 06 Dec 2016
Posts: 250
A science lab is conducting an experiment monitoring the appearance of  [#permalink]

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30 Mar 2017, 08:25
P(O) = obese
P(W) = white
P(E) = elonated mandible

P(OUWUE) = P(O) + P(W) + P(E) - P(ONW) - P(ONE) - P(WNE) + P(ONWNE) is equal to 40

1 - we do not know information for rats that were obese and had white fur and rats that were obese and rats that had white fur and elonated mandible. Insufficient.
2 - Insufficient because we do not know if P(ONW), P(ONE), P(WNE) = 40

1 & 2 combined - still insufficient. Answer is E IMO.
A science lab is conducting an experiment monitoring the appearance of &nbs [#permalink] 30 Mar 2017, 08:25
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