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## Of the 300 subjects who participated in an experiment using

tagged by: ceilidh.erickson

This topic has 4 expert replies and 0 member replies
eitijan Master | Next Rank: 500 Posts
Joined
30 Jan 2016
Posted:
157 messages
1

#### Of the 300 subjects who participated in an experiment using

Mon Apr 25, 2016 5:38 am
Of the 300 subjects who participated in an experiment using virtual-reality therapy to reduce their fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting, and 75 percent
experienced dizziness. If all of the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?

(A) 105
(B) 125
(C) 130
(D) 180
(E) 195

Here ,
n(A u B u C)= n(A) + n(B) + n(C) - n(A n B) - n(B n C) - n(C n A) + n(A n B n C)
A = 40% of 300 = 120
B = 30% of 300 = 90
C = 75% of 300 = 225
n(A n B) + n(B n C) + n(C n A) = 35% of 300 = 105
n(A u B u C) = 300
Putting values in above formula:
300 = 435 - 105 + n(A n B n C)
300 = 330 + n(A n B n C)
n(A n B n C) = -30
What would be the next step?

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Matt@VeritasPrep GMAT Instructor
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Wed Apr 27, 2016 1:53 pm
This is probably best done visually (with a Venn diagram): it's easy to lose track of the inclusion/exclusion equation if you try to do this sort of problem algebraically.

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### GMAT/MBA Expert

ceilidh.erickson GMAT Instructor
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Mon Apr 25, 2016 8:26 am
Here's another method, although it would take a bit longer:
http://www.beatthegmat.com/plz-explain-official-guide-ps-q-178-t281640.html#738130

Usually, though, you won't need 7 variables; you'll just need 3. More here: http://www.beatthegmat.com/overlapping-sets-manhattan-gmat-cat-t288167.html#765098

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### GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2640 messages
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113 members
625
Target GMAT Score:
V51
GMAT Score:
780
Wed Apr 27, 2016 1:53 pm
This is probably best done visually (with a Venn diagram): it's easy to lose track of the inclusion/exclusion equation if you try to do this sort of problem algebraically.

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

### GMAT/MBA Expert

ceilidh.erickson GMAT Instructor
Joined
04 Dec 2012
Posted:
1706 messages
Followed by:
224 members
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Mon Apr 25, 2016 8:26 am
Here's another method, although it would take a bit longer:
http://www.beatthegmat.com/plz-explain-official-guide-ps-q-178-t281640.html#738130

Usually, though, you won't need 7 variables; you'll just need 3. More here: http://www.beatthegmat.com/overlapping-sets-manhattan-gmat-cat-t288167.html#765098

_________________

Ceilidh Erickson
Manhattan Prep GMAT & GRE instructor
EdM in Mind, Brain, and Education

Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience.
Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry!

Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week.

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