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# In an experiment, half of the participants received only drug X, while

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Manager
Joined: 20 Jun 2018
Posts: 68
Location: Japan
Concentration: Strategy, Finance
GMAT 1: 660 Q49 V31
WE: Analyst (Energy and Utilities)
In an experiment, half of the participants received only drug X, while  [#permalink]

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21 Oct 2019, 19:48
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Difficulty:

35% (medium)

Question Stats:

67% (02:00) correct 33% (01:44) wrong based on 18 sessions

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In an experiment, half of the participants received only drug X, while the other half received only a placebo. Before the researcher could conduct the next phase of the study, d participants dropped out. Was the number of dropouts from the group that received drug X greater than the number of dropouts from the group that received the placebo?

(1) The number of dropouts from the group that received the placebo was 4 more than two-thirds of the number of dropouts from the group that received Drug X.

(2) The group that received Drug X had 50 participants at the beginning of the experiment, and fewer than 12 of those participants dropped out.
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 724
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: In an experiment, half of the participants received only drug X, while  [#permalink]

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21 Oct 2019, 20:53
let p = placebo dropouts, and x = drug X dropouts

From statement (1), $$p = \frac{2}{3}x+4$$
x must be divisible by 3, so the possible pairs of (x,p) are (3,6), (6,8), (9,10), (12,12), (15, 14),....,
we can find that sometimes x<p or x=p or x>p --> so insufficient
from statement (2), $$x<12$$ --> insufficient
But by combining, Statement (2) provides the needed info to narrow the value of x to where x<p
C
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Re: In an experiment, half of the participants received only drug X, while   [#permalink] 21 Oct 2019, 20:53
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